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Original Articles

Two star-operations and their induced lattices

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Pages 2461-2475 | Received 01 Jun 1998, Published online: 27 Jun 2007

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (19)

Dario Spirito. (2023) Radical semistar operations. Communications in Algebra 51:5, pages 2217-2231.
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Evan Houston & Muhammad Zafrullah. (2023) Well-behaved prime t-ideals and almost Krull domains. Communications in Algebra 51:1, pages 276-287.
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Tiberiu Dumitrescu & Mihai Epure. (2022) Comaximal factorization lattices. Communications in Algebra 50:9, pages 4024-4031.
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Başak Ay Saylam & Haleh Hamdi. (2021) ES-w-stability. Communications in Algebra 49:8, pages 3457-3476.
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Zaheer Ahmad & Tiberiu Dumitrescu. (2014) Star Almost Schreier Domains. Communications in Algebra 42:11, pages 4898-4910.
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OlivierA. Heubo-Kwegna. (2014) On Local ☆-Completely Integrally Closed Domains. Communications in Algebra 42:4, pages 1539-1544.
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Gyu Whan Chang, Hwankoo Kim & Jung Wook Lim. (2013) Integral Domains in which Every Nonzero t-Locally Principal Ideal is t-Invertible. Communications in Algebra 41:10, pages 3805-3819.
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Mi Hee Park. (2012) Prüfer v-Multiplication Domains and w-Multiplicative Canonical Ideals. Communications in Algebra 40:4, pages 1280-1292.
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Jesse Elliott. (2010) Functorial Properties of Star Operations. Communications in Algebra 38:4, pages 1466-1490.
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Hwankoo Kim. (2010) Module-Theoretic Characterizations of Generalized GCD Domains. Communications in Algebra 38:2, pages 759-772.
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Gyu Whan Chang. (2009) Characterizations of *-Cancellation Ideals of an Integral Domain. Communications in Algebra 37:9, pages 3309-3320.
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D. D. Anderson, DavidF. Anderson, Marco Fontana & Muhammad Zafrullah. (2009) On v-Domains and Star Operations. Communications in Algebra 37:9, pages 3018-3043.
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A. Mimouni. (2008) Note on Star Operations Over Polynomial Rings. Communications in Algebra 36:11, pages 4249-4256.
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Giampaolo Picozza & Francesca Tartarone. (2008) When the Semistar Operation is the Identity. Communications in Algebra 36:5, pages 1954-1975.
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Hwankoo Kim. (2008) Module-Theoretic Characterizations of t-Linkative Domains. Communications in Algebra 36:5, pages 1649-1670.
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D. D. Anderson & SharonM. Clarke. (2006) When the v-Operation Distributes over Intersections. Communications in Algebra 34:12, pages 4327-4337.
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D.D. Anderson & Sharon M. Clarke. (2005) Star-Operations that Distribute Over Finite Intersections. Communications in Algebra 33:7, pages 2263-2274.
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Marco Fontana & K. Alan Loper. (2003) Nagata Rings, Kronecker Function Rings, and Related Semistar Operations. Communications in Algebra 31:10, pages 4775-4805.
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Wang Fanggui. (2001) w-DIMENSION OF DOMAINS. II. Communications in Algebra 29:6, pages 2419-2428.
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Articles from other publishers (61)

Muhammad Zafrullah. (2021) Domains whose ideals meet a universal restriction. Journal of Algebra and Its Applications 22:02.
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Dario Spirito. (2022) The Derived Sequence of a Pre-Jaffard Family. Mediterranean Journal of Mathematics 19:4.
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Shiqi Xing, D. D. Anderson & Muhammad Zafrullah. (2021) ∗-Almost super-homogeneous ideals in ∗-h-local domains. Journal of Algebra and Its Applications 21:07.
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M. Zafrullah. (2021) Revisiting G-Dedekind domains. Canadian Mathematical Bulletin, pages 1-15.
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Dario Spirito. (2021) Multiplicative closure operations on ring extensions. Journal of Pure and Applied Algebra 225:4, pages 106555.
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Dario Spirito. (2020) The sets of star and semistar operations on semilocal Prüfer domains. Journal of Commutative Algebra 12:4.
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Evan Houston & Muhammad Zafrullah. (2020) $\star$-super potent domains. Journal of Commutative Algebra 12:4.
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Hwankoo Kim & Jung Wook Lim. (2020) Integral Domains in Which Every Nonzero w-Flat Ideal Is w-Invertible. Mathematics 8:2, pages 247.
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Tiberiu Dumitrescu. 2020. Advances in Rings, Modules and Factorizations. Advances in Rings, Modules and Factorizations 125 133 .
Gyu Whan Chang. 2020. Advances in Rings, Modules and Factorizations. Advances in Rings, Modules and Factorizations 55 77 .
Dario Spirito. 2020. Advances in Rings, Modules and Factorizations. Advances in Rings, Modules and Factorizations 299 315 .
Dario Spirito. (2019) Topological properties of localizations, flat overrings and sublocalizations. Journal of Pure and Applied Algebra 223:3, pages 1322-1336.
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D. D. Anderson & Muhammad Zafrullah. 2019. Advances in Commutative Algebra. Advances in Commutative Algebra 7 31 .
Dario Spirito. (2018) The Zariski topology on sets of semistar operations without finite-type assumptions. Journal of Algebra 513, pages 27-49.
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Jung Wook Lim. (2018) Nearly Krull domains and nearly Prufer $v$-multiplication domains. Rocky Mountain Journal of Mathematics 48:5.
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Hwankoo Kim & Jung Wook Lim. (2018) S -∗ w -Principal Ideal Domains . Algebra Colloquium 25:02, pages 217-224.
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E. Houston, S. Kabbaj & A. Mimouni. (2017) $\star $-reductions of ideals and Prüfer $v$-multiplication domains. Journal of Commutative Algebra 9:4.
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Shiqi Xing & Fanggui Wang. (2017) Two questions on domains in which locally principal ideals are invertible. Journal of Algebra and Its Applications 16:06, pages 1750112.
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Gyu Whan Chang. (2016) Power series over Noetherian domains, Nagata rings, and Kronecker function rings. Journal of Algebra 468, pages 337-353.
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Said El Baghdadi, Marco Fontana & Muhammad Zafrullah. (2016) Intersections of quotient rings and Prüfer v-multiplication domains. Journal of Algebra and Its Applications 15:08, pages 1650149.
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Carmelo A. Finocchiaro, Marco Fontana & Dario Spirito. (2016) Spectral spaces of semistar operations. Journal of Pure and Applied Algebra 220:8, pages 2897-2913.
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Carmelo A. Finocchiaro, Marco Fontana & Dario Spirito. 2016. Multiplicative Ideal Theory and Factorization Theory. Multiplicative Ideal Theory and Factorization Theory 117 143 .
GYU WHAN CHANG. (2015) A NEW CHARACTERIZATION OF PRÜFER v-MULTIPLICATION DOMAINS. Korean Journal of Mathematics 23:4, pages 631-636.
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Gyu Whan Chang. (2015) Star operations on Prüfer v -multiplication domains. Journal of Commutative Algebra 7:4.
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Zaheer Ahmad, Tiberiu Dumitrescu & Mihai Epure. (2015) A Schreier Domain Type Condition II. Algebra Colloquium 22:spec01, pages 923-934.
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Evan Houston & Muhammad Zafrullah. (2015) Integral domains in which any two v-coprime elements are comaximal. Journal of Algebra 423, pages 93-113.
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Hwankoo Kim, Myeong Og Kim & Jung Wook Lim. (2014) On S-strong Mori domains. Journal of Algebra 416, pages 314-332.
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Carmelo Antonio Finocchiaro & Dario Spirito. (2014) Some topological considerations on semistar operations. Journal of Algebra 409, pages 199-218.
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Parviz Sahandi. (2014) CHARACTERIZATIONS OF GRADED PRÜFER ⋆-MULTIPLICATION DOMAINS. Korean Journal of Mathematics 22:1, pages 181-206.
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D.D. Anderson, Gyu Whan Chang & Muhammad Zafrullah. (2013) Integral domains of finite t -character. Journal of Algebra 396, pages 169-183.
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Gyu Whan Chang. (2013) STRONG MORI MODULES OVER AN INTEGRAL DOMAIN. Bulletin of the Korean Mathematical Society 50:6, pages 1905-1914.
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Hwankoo Kim & Dong Yeol Oh. (2013) A NOTE ON QUASI-*-INVERTIBLE AND *-INVERTIBLE IDEALS. Journal of the Chungcheong Mathematical Society 26:4, pages 781-786.
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Jung Wook Lim & Dong Yeol Oh. (2013) A SIMPLE PROOF OF HILBERT BASIS THEOREM FOR * ω -NOETHERIAN DOMAINS . Korean Journal of Mathematics 21:2, pages 197-201.
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Chul Ju Hwang & Jung Wook Lim. (2012) A note on *_{𝑤}-Noetherian domains. Proceedings of the American Mathematical Society 141:4, pages 1199-1209.
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Gyu Whan Chang, Hwankoo Kim & Jung Wook Lim. (2013) TWO GENERALIZATIONS OF LCM-STABLE EXTENSIONS. Journal of the Korean Mathematical Society 50:2, pages 393-410.
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OLIVIER A. HEUBO-KWEGNA. (2012) ON ⋆-COLON-MULTIPLICATION DOMAINS. Journal of Algebra and Its Applications 12:02, pages 1250156.
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Gyu Whan Chang. (2012) KRONECKER FUNCTION RINGS AND PRÜFER-LIKE DOMAINS. Korean Journal of Mathematics 20:4, pages 371-379.
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Gyu Whan Chang. (2012) On the cardinality of stable star operations of finite type on an integral domain. Comptes Rendus Mathematique 350:11-12, pages 557-560.
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Jason Juett. (2012) Generalized comaximal factorization of ideals. Journal of Algebra 352:1, pages 141-166.
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D.D. Anderson & Andrea M. Frazier. (2011) On a general theory of factorization in integral domains. Rocky Mountain Journal of Mathematics 41:3.
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Huayu Yin, Fanggui Wang, Xiaosheng Zhu & Youhua Chen. (2011) ω-MODULES OVER COMMUTATIVE RINGS. Journal of the Korean Mathematical Society 48:1, pages 207-222.
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Gyu-Whan Chang. (2011) *-NOETHERIAN DOMAINS AND THE RING D[X] N* , II . Journal of the Korean Mathematical Society 48:1, pages 49-61.
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Franz Halter-Koch. 2011. Commutative Algebra. Commutative Algebra 203 231 .
Marco Fontana & Muhammad Zafrullah. 2011. Commutative Algebra. Commutative Algebra 145 179 .
Said El Baghdadi, Stefania Gabelli & Muhammad Zafrullah. (2008) Unique representation domains, II. Journal of Pure and Applied Algebra 212:2, pages 376-393.
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Gyu Whan Chang. (2008) Prüfer ∗-multiplication domains, Nagata rings, and Kronecker function rings. Journal of Algebra 319:1, pages 309-319.
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David Anderson, Marco Fontana & Muhammad Zafrullah. (2008) Some remarks on Prüfer ⋆-multiplication domains and class groups. Journal of Algebra 319:1, pages 272-295.
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Gyu Whan Chang. (2006) ∗-Noetherian domains and the ring . Journal of Algebra 297:1, pages 216-233.
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Gyu Whan Chang & Muhammad Zafrullah. (2006) The w-integral closure of integral domains. Journal of Algebra 295:1, pages 195-210.
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Fang Gui Wang. (2005) On t–Dimension over Strong Mori Domains. Acta Mathematica Sinica, English Series 22:1, pages 131-138.
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Marco Fontana & K. Alan Loper. 2006. Multiplicative Ideal Theory in Commutative Algebra. Multiplicative Ideal Theory in Commutative Algebra 169 187 .
Marco Fontana & Giampaolo Picozza. (2012) Semistar Invertibility on Integral Domains. Algebra Colloquium 12:04, pages 645-664.
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Marco Fontana & Mi Hee Park. (2005) On the star class group of a pullback. Journal of Algebra 292:2, pages 516-539.
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Gyu Whan Chang. (2005) Strong Mori domains and the ring . Journal of Pure and Applied Algebra 197:1-3, pages 293-304.
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S. El Baghdadi, Marco Fontana & Giampaolo Picozza. (2004) Semistar Dedekind domains. Journal of Pure and Applied Algebra 193:1-3, pages 27-60.
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Abdeslam Mimouni. (2004) Prüfer-like conditions and pullbacks. Journal of Algebra 279:2, pages 685-693.
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Marco Fontana & Mi Hee Park. (2004) Star operations and pullbacks. Journal of Algebra 274:1, pages 387-421.
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Mi Hee Park. (2003) Power series rings over strong Mori domains. Journal of Algebra 270:1, pages 361-368.
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M. FONTANA, P. JARA & E. SANTOS. (2011) PRÜFER ⋆-MULTIPLICATION DOMAINS AND SEMISTAR OPERATIONS. Journal of Algebra and Its Applications 02:01, pages 21-50.
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Mi Hee Park. (2002) On overrings of Strong Mori domains. Journal of Pure and Applied Algebra 172:1, pages 79-85.
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Franz Halter-Koch. (2001) Localizing Systems, Module Systems, and Semistar Operations. Journal of Algebra 238:2, pages 723-761.
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