292
Views
64
CrossRef citations to date
0
Altmetric
Original Articles

Armendariz and Reduced Rings

&
Pages 2287-2299 | Received 01 Dec 2002, Published online: 18 Aug 2006

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

Read on this site (18)

M. Paykanian, E. Hashemi & A. Alhevaz. (2021) On skew polynomials over Ikeda-Nakayama rings. Communications in Algebra 49:9, pages 4038-4049.
Read now
M. Ahmadi & A. Moussavi. (2020) Rings whose singular ideals are nil. Communications in Algebra 48:11, pages 4796-4808.
Read now
Morteza Ahmadi, Nasser Golestani & Ahmad Moussavi. (2020) Generalized quasi-Baer -rings and Banach -algebras. Communications in Algebra 48:5, pages 2207-2247.
Read now
Liu Yang & Xiankun Du. (2017) Armendariz group rings. Communications in Algebra 45:7, pages 3052-3060.
Read now
Tai Keun Kwak & Yang Lee. (2015) Zero Divisors in Skew Power Series Rings. Communications in Algebra 43:10, pages 4427-4445.
Read now
Byung-Ok Kim, Tai Keun Kwak & Yang Lee. (2015) On Constant Zero-Divisors of Linear Polynomials. Communications in Algebra 43:3, pages 1098-1117.
Read now
K. Paykan, A. Moussavi & M. Zahiri. (2014) Special Properties of Rings of Skew Generalized Power Series. Communications in Algebra 42:12, pages 5224-5248.
Read now
A.R. Nasr-Isfahani. (2014) Radicals of Skew Polynomial and Skew Laurent Polynomial Rings Over Skew Armendariz Rings. Communications in Algebra 42:3, pages 1337-1349.
Read now
Victor Camillo, Tai Keun Kwak & Yang Lee. (2013) Ideal-Symmetric and Semiprime Rings. Communications in Algebra 41:12, pages 4504-4519.
Read now
M. Habibi, A. Moussavi & S. Mokhtari. (2012) On Skew Armendariz of Laurent Series Type Rings. Communications in Algebra 40:11, pages 3999-4018.
Read now
Tai Keun Kwak & Yang Lee. (2012) Reflexive Property of Rings. Communications in Algebra 40:4, pages 1576-1594.
Read now
A. Alhevaz, A. Moussavi & M. Habibi. (2012) On Rings Having McCoy-Like Conditions. Communications in Algebra 40:4, pages 1195-1221.
Read now
R. Manaviyat, A. Moussavi & M. Habibi. (2012) On Skew Inverse Laurent-Serieswise Armendariz Rings. Communications in Algebra 40:1, pages 138-156.
Read now
Alireza Nasr-Isfahani & Ahmad Moussavi. (2011) On Skew Power Serieswise Armendariz Rings. Communications in Algebra 39:9, pages 3114-3132.
Read now
Ramon Antoine. (2010) Examples of Armendariz Rings. Communications in Algebra 38:11, pages 4130-4143.
Read now
Muhittin Başer, Tai Keun Kwak & Yang Lee. (2009) The McCoy Condition on Skew Polynomial Rings. Communications in Algebra 37:11, pages 4026-4037.
Read now
Wenkang Wang, E. R. Puczyłowski & Lian Li. (2008) On Armendariz Rings and Matrix Rings with Simple 0-Multiplication. Communications in Algebra 36:4, pages 1514-1519.
Read now
Wenkang Wang. (2008) Maximal Semicommutative Subrings of Upper Triangular Matrix Rings. Communications in Algebra 36:1, pages 77-81.
Read now

Articles from other publishers (46)

Ruhollah Barati & Ahmad Moussavi. (2023) A Note on Weakly Nil-Clean Rings. Mediterranean Journal of Mathematics 20:2.
Crossref
Jongwook Baeck. (2022) On $ S $-principal right ideal rings. AIMS Mathematics 7:7, pages 12106-12122.
Crossref
Jongwook Baeck. (2021) The rings where zero-divisor polynomials have zero-divisor coefficients. Rocky Mountain Journal of Mathematics 51:3.
Crossref
Morteza AHMADİ & Ahmad MOUSSAVİ. (2020) INVOLUTIVE TRIANGULAR MATRIX ALGEBRAS. Hacettepe Journal of Mathematics and Statistics, pages 1-6.
Crossref
Jung Wook Lim & Dong Yeol Oh. (2020) Noetherian properties in composite generalized power series rings. Open Mathematics 18:1, pages 1540-1551.
Crossref
Zhiling Ying & Mingming Fu. (2018) On Strongly $$J_n$$ J n -Clean Rings. Bulletin of the Iranian Mathematical Society 45:2, pages 627-639.
Crossref
Wanru Zhang & Zhongkui Liu. (2017) Special properties of the ring Sn(R). Journal of Algebra and Its Applications 16:11, pages 1750212.
Crossref
Kamal Paykan & Ahmad Moussavi. (2017) McCoy property and nilpotent elements of skew generalized power series rings. Journal of Algebra and Its Applications 16:10, pages 1750183.
Crossref
Kamal Paykan & Ahmad Moussavi. (2017) The McCoy condition on skew monoid rings. Asian-European Journal of Mathematics 10:03, pages 1750050.
Crossref
Kamal Paykan & Ahmad Moussavi. (2016) Nilpotent elements and nil-Armendariz property of skew generalized power series rings. Asian-European Journal of Mathematics 10:02, pages 1750034.
Crossref
Jongwook Baeck, Gangyong Lee & Jung Wook Lim. (2016) $S$-Noetherian Rings and Their Extensions. Taiwanese Journal of Mathematics 20:6.
Crossref
A. Moussavi. (2016) On Radicals of Skew Inverse Laurent Series Rings. Algebra Colloquium 23:02, pages 335-346.
Crossref
A. S. Kuzmina & Yu. N. Maltsev. (2015) On some results and open problems concerning Armendariz rings. Asian-European Journal of Mathematics 08:04, pages 1550074.
Crossref
Hong Kee Kim, Nam Kyun Kim, Tai Keun Kwak, Yang Lee & Hidetoshi Marubayashi. (2015) On α-nilpotent elements and α-Armendariz rings. Journal of Algebra and Its Applications 14:05, pages 1550064.
Crossref
Yiqiang ZHOU & Michał ZIEMBOWSKI. (2015) Distributive modules and Armendariz modules. Journal of the Mathematical Society of Japan 67:2.
Crossref
Tai Keun Kwak, Dong Su Lee & Yang Lee. (2014) ANNIHILATORS IN ONE-SIDED IDEALS GENERATED BY COEFFICIENTS OF ZERO-DIVIDING POLYNOMIALS. Journal of the Korean Mathematical Society 51:3, pages 495-507.
Crossref
Uday Shankar Chakraborty & Krishnendu Das. (2014) On Nil-Symmetric Rings. Journal of Mathematics 2014, pages 1-7.
Crossref
Tai Keun Kwak & Yang Lee. (2013) REFLEXIVE PROPERTY ON IDEMPOTENTS. Bulletin of the Korean Mathematical Society 50:6, pages 1957-1972.
Crossref
Chang Hyeok Lee, Hyo Jin Lim, Jae Hyoung Park, Jung Hyun Kim, Jung Soo Kim, Min Joon Jeong, Min Kyung Song, Si Hwan Kim, Su Min Hwang, Tae Kang Eom, Min Jung Lee, Yang Lee & Sung Ju Ryu. (2013) A REMARK ON IFP RINGS. Korean Journal of Mathematics 21:3, pages 311-318.
Crossref
Nam Kyun Kim & Yang Lee. (2013) ON A RING PROPERTY UNIFYING REVERSIBLE AND RIGHT DUO RINGS. Journal of the Korean Mathematical Society 50:5, pages 1083-1103.
Crossref
Tai Keun Kwak & Yang Lee. (2013) ON NILPOTENT POWER SERIES WITH NILPOTENT COEFFICIENTS. Korean Journal of Mathematics 21:1, pages 41-53.
Crossref
A. ALHEVAZ & A. MOUSSAVI. (2012) ANNIHILATOR CONDITIONS IN MATRIX AND SKEW POLYNOMIAL RINGS. Journal of Algebra and Its Applications 11:04, pages 1250079.
Crossref
A. R. NASR-ISFAHANI & A. MOUSSAVI. (2012) A GENERALIZATION OF REDUCED RINGS. Journal of Algebra and Its Applications 11:04, pages 1250070.
Crossref
Jin-Eon Baek, Woo-Young Chin, Ji-Woong Choi, Tae-Hyun Eom, Young-Cheol Jeon & Yang Lee. (2012) INSERTION-OF-FACTORS-PROPERTY ON NILPOTENT ELEMENTS. Bulletin of the Korean Mathematical Society 49:2, pages 381-394.
Crossref
Tai Keun Kwak, Yang Lee & Sang Jo Yun. (2012) The Armendariz property on ideals. Journal of Algebra 354:1, pages 121-135.
Crossref
Muhittin Başer, Fatma Kaynarca, Tai Keun Kwak & Yang Lee. (2012) Weak Quasi-Armendariz Rings. Algebra Colloquium 18:04, pages 541-552.
Crossref
Muhittin Baser & Tai Keun Kwa. (2011) QUASI-ARMENDARIZ PROPERTY FOR SKEW POLYNOMIAL RINGS. Communications of the Korean Mathematical Society 26:4, pages 557-573.
Crossref
TAI KEUN KWAK & YANG LEE. (2011) RINGS OVER WHICH COEFFICIENTS OF NILPOTENT POLYNOMIALS ARE NILPOTENT. International Journal of Algebra and Computation 21:05, pages 745-762.
Crossref
Shizhou Yang, Xuemei Song & Zhongkui Liu. (2012) Power-serieswise McCoy Rings. Algebra Colloquium 18:02, pages 301-310.
Crossref
Ebrahim Hashemi. (2010) Annihilator Conditions on Polynomials over Modules. Mediterranean Journal of Mathematics 8:2, pages 207-214.
Crossref
Muhittin Baser, Fatma Kaynarca & Tai-Keun Kwak. (2011) RIGIDNESS AND EXTENDED ARMENDARIZ PROPERTY. Bulletin of the Korean Mathematical Society 48:1, pages 157-167.
Crossref
Jin-Mun Jeong, Eun-Young Ju & Yong-Han Kang. (2011) APPROXIMATE CONTROLLABILITY FOR DIFFERENTIAL EQUATIONS WITH QUASI-AUTONOMOUS OPERATORS. Bulletin of the Korean Mathematical Society 48:1, pages 1-8.
Crossref
Chan-Yong Hong, Nam-Kyun Kim & Yang Lee. (2010) SKEW POLYNOMIAL RINGS OVER SEMIPRIME RINGS. Journal of the Korean Mathematical Society 47:5, pages 879-897.
Crossref
Muhittin Baser, Fatma Kaynarca & Tai-Keun Kwak. (2010) RING ENDOMORPHISMS WITH THE REVERSIBLE CONDITION. Communications of the Korean Mathematical Society 25:3, pages 349-364.
Crossref
Young-Cheol Jeon, Yang Lee & Sung-Ju Ryu. (2010) A STRUCTURE ON COEFFICIENTS OF NILPOTENT POLYNOMIALS. Journal of the Korean Mathematical Society 47:4, pages 719-733.
Crossref
Chan-Yong Hong, Nam-Kyun Kim & Tai-Keun Kwak. (2010) ON QUASI-RIGID IDEALS AND RINGS. Bulletin of the Korean Mathematical Society 47:2, pages 385-399.
Crossref
Chahrazade Bakkari. (2009) Armendariz and SFT Properties in Subring Retracts. Mediterranean Journal of Mathematics 6:3, pages 339-345.
Crossref
A. R. NASR-ISFAHANI & A. MOUSSAVI. (2009) ON WEAKLY RIGID RINGS. Glasgow Mathematical Journal 51:3, pages 425-440.
Crossref
A. S. Kuz’mina. (2009) Varieties of rings, where all subdirectly irreducible finite rings are Armendariz ones. Russian Mathematics 53:8, pages 36-42.
Crossref
Chan Yong Hong, Nam Kyun Kim, Yang Lee & Pace P. Nielsen. (2009) The minimal prime spectrum of rings with annihilator conditions. Journal of Pure and Applied Algebra 213:7, pages 1478-1488.
Crossref
Muhammet Tamer Koşan. (2018) Extensions of Rings Having McCoy Condition. Canadian Mathematical Bulletin 52:2, pages 267-272.
Crossref
Nazim Agayev, Tahire Özen & Abdullah Harmanci. (2009) On a class of semicommutative modules. Proceedings - Mathematical Sciences 119:2, pages 149-158.
Crossref
M. Tamer Koşan & Muhittin Başer. (2008) ON QUASI-ARMENDARIZ MODULES. Taiwanese Journal of Mathematics 12:3.
Crossref
Chan Yong Hong, Nam Kyun Kim, Yang Lee & Sung Ju Ryu. (2007) Rings with Property (A) and their extensions. Journal of Algebra 315:2, pages 612-628.
Crossref
Chan Yong Hong, Tai Keun Kwak & S. Tariq Rizvi. (2012) Extensions of Generalized Armendariz Rings. Algebra Colloquium 13:02, pages 253-266.
Crossref
M. Tamer Koşan. (2006) The Armendariz module and its application to the Ikeda-Nakayama module. International Journal of Mathematics and Mathematical Sciences 2006, pages 1-7.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.