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Communications in Algebra Volume 34, 2006 - Issue 7
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Original Articles

On Weak Armendariz Rings

Zhongkui Liu Department of Mathematics, Northwest Normal University, Lanzhou, ChinaCorrespondence[email protected]
&
Renyu Zhao Department of Mathematics, Northwest Normal University, Lanzhou, China
Pages 2607-2616 | Received 14 Mar 2005, Published online: 01 Feb 2007

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Ebrahim Hashemi, Fatemeh Shokuhifar & Abdollah Alhevaz. (2020) On clean and regular elements of near-ring of skew polynomials. Communications in Algebra 48:6, pages 2575-2590.
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Liu Yang & Xiankun Du. (2017) Armendariz group rings. Communications in Algebra 45:7, pages 3052-3060.
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Weixing Chen. (2014) Polynomial Rings Over Weak Armendariz Rings need not be Weak Armendariz. Communications in Algebra 42:6, pages 2528-2532.
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A. Alhevaz & A. Moussavi. (2014) On Monoid Rings Over Nil Armendariz Ring. Communications in Algebra 42:1, pages 1-21.
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Liang Zhao & Xiaoguang Yan. (2013) Armendariz Properties Relative to a Ring Endomorphism. Communications in Algebra 41:9, pages 3465-3475.
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A. Alhevaz, A. Moussavi & M. Habibi. (2012) On Rings Having McCoy-Like Conditions. Communications in Algebra 40:4, pages 1195-1221.
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Lunqun Ouyang. (2011) On Weak Annihilator Ideals of Skew Monoid Rings. Communications in Algebra 39:11, pages 4259-4272.
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Ramon Antoine. (2010) Examples of Armendariz Rings. Communications in Algebra 38:11, pages 4130-4143.
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Lunqun Ouyang & Huanyin Chen. (2010) On Weak Symmetric Rings. Communications in Algebra 38:2, pages 697-713.
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Articles from other publishers (40)

Mohamed Chhiti & Loubna Es-Salhi. (2022) Armendariz-like properties in bi-amalgamations. Boletín de la Sociedad Matemática Mexicana 28:3.
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Yufeng Liu & Weixing Chen. (2020) Quasi-central Armendariz rings. Journal of Algebra and Its Applications 20:12.
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Om Prakash, Sushma Singh & K.P. Shum. (2020) On Almost Armendariz Ring. Algebra Colloquium 27:02, pages 199-212.
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Armando Reyes & Héctor Suárez. (2018) Skew Poincaré–Birkhoff–Witt extensions over weak zip rings. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 60:2, pages 197-216.
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Mounir El Ouarrachi & Najib Mahdou. (2018) Power Serieswise Armendariz Property in Amalgamated Algebra. Bulletin of the Iranian Mathematical Society 45:1, pages 23-33.
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A. Nejadzadeh, A. Amini, B. Amini & Habib Sharif. (2018) Rings in which Nilpotent Elements are Right Singular. Bulletin of the Iranian Mathematical Society 44:5, pages 1217-1226.
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E. Hashemi, M. Hamidizadeh & A. Alhevaz. (2017) Some types of ring elements in Ore extensions over noncommutative rings. Journal of Algebra and Its Applications 16:11, pages 1750201.
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Weixing Chen. (2017) Further results on central Armendariz rings. Journal of Algebra and Its Applications 16:10, pages 1750194.
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Masoud Azimi & Ahmad Moussavi. (2017) On nilpotent elements of ore extensions. Asian-European Journal of Mathematics 10:03, pages 1750043.
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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.
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Raoufeh Manaviyat & Mohammad Habibi. (2017) Nil-Armendariz Condition on Skew Generalized Power Series Rings. Iranian Journal of Science and Technology, Transactions A: Science 41:2, pages 419-428.
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Najib MAHDOU, Abdeslam MIMOUNI & Mounir EL OUARRACHI. (2017) On Armendariz-like properties in amalgamated algebras along ideals. TURKISH JOURNAL OF MATHEMATICS 41, pages 1673-1686.
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Kamal Paykan. (2016) Nilpotent elements of skew Hurwitz series rings. Rendiconti del Circolo Matematico di Palermo (1952 -) 65:3, pages 451-458.
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Abdollah Alhevaz & Ebrahim Hashemi. (2016) An Alternative Perspective on Skew Generalized Power Series Rings. Mediterranean Journal of Mathematics 13:6, pages 4723-4744.
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Juncheol Han, Tai Keun Kwak, Chang Ik Lee, Yang Lee & Yeonsook Seo. (2016) Generalizations of reversible and Armendariz rings. International Journal of Algebra and Computation 26:05, pages 911-933.
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Yao Wang, Meimei Jiang & Yanli Ren. (2016) π-Armendariz rings relative to a monoid. Frontiers of Mathematics in China 11:4, pages 1017-1036.
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HO JUN CHA, DA WOON JUNG, HONG KEE KIM, JIN-A KIM, CHANG IK LEE, YANG LEE, SANG BOK NAM, SUNG JU RYU, YEONSOOK SEO, HYO JIN SUNG & SANG JO YUN. (2015) ON A RING PROPERTY GENERALIZING POWER-ARMENDARIZ AND CENTRAL ARMENDARIZ RINGS. Korean Journal of Mathematics 23:3, pages 337-355.
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KAMIL KOZLOWSKI & RYSZARD MAZUREK. (2015) ON SEMI-ARMENDARIZ MATRIX RINGS. Journal of the Korean Mathematical Society 52:4, pages 781-795.
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M. Habibi, A. Moussavi & A. Alhevaz. (2015) On Skew Triangular Matrix Rings. Algebra Colloquium 22:02, pages 271-280.
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Weixing Chen. (2015) On linearly weak Armendariz rings. Journal of Pure and Applied Algebra 219:4, pages 1122-1130.
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Uday Shankar Chakraborty & Krishnendu Das. (2014) On Nil-Symmetric Rings. Journal of Mathematics 2014, pages 1-7.
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Victor Camillo, Tai Keun Kwak & Yang Lee. (2013) ON A GENERALIZATION OF MCCOY RINGS. Journal of the Korean Mathematical Society 50:5, pages 959-972.
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MOHAMMAD HABIBI & RAOUFEH MANAVIYAT. (2013) A GENERALIZATION OF NIL-ARMENDARIZ RINGS. Journal of Algebra and Its Applications 12:06, pages 1350001.
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Lunqun Ouyang & Jinwang Liu. (2013) ON NIL GENERALIZED POWER SERIESWISE ARMENDARIZ RINGS. Communications of the Korean Mathematical Society 28:3, pages 463-480.
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Ebrahim Hashemi. (2012) Nil-Armendariz Rings Relative to a Monoid. Mediterranean Journal of Mathematics 10:1, pages 111-121.
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Eltiyeb Ali, Ayoub Elshokry & Zhongkui Liu. (2013) Nil 3-Armendariz Rings. Advances in Pure Mathematics 03:09, pages 703-708.
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Lunqun Ouyang & Jinwang Liu. (2012) Weak associated primes over differential polynomial rings. Rocky Mountain Journal of Mathematics 42:5.
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R.M. Salem. (2012) On zip and weak zip rings of skew generalized power series. Journal of the Egyptian Mathematical Society 20:3, pages 157-162.
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Liang Zhao, Xiaosheng Zhu & Qinqin Gu. (2012) Nilpotent elements and McCoy rings. Studia Scientiarum Mathematicarum Hungarica 49:3, pages 326-337.
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DA WOON JUNG, NAM KYUN KIM, YANG LEE & SUNG PIL YANG. (2012) NIL-ARMENDARIZ RINGS AND UPPER NILRADICALS. International Journal of Algebra and Computation 22:06, pages 1250059.
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M. HABIBI & A. MOUSSAVI. (2012) NILPOTENT ELEMENTS AND NIL-ARMENDARIZ PROPERTY OF MONOID RINGS. Journal of Algebra and Its Applications 11:04, pages 1250080.
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H. A. Tavallaee, M. J. Nikmehr & M. Pazoki. (2012) Weak α-skew Armendariz ideals. Ukrainian Mathematical Journal 64:3, pages 456-469.
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M. Habibi & A. Moussavi. (2012) ON NIL SKEW ARMENDARIZ RINGS. Asian-European Journal of Mathematics 05:02, pages 1250017.
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D. D. Anderson. 2011. Commutative Algebra. Commutative Algebra 1 21 .
Cuiping Zhang & Jianlong Chen. (2010) WEAK α-SKEW ARMENDARIZ RINGS. Journal of the Korean Mathematical Society 47:3, pages 455-466.
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Sana Hizem. (2010) A note on nil power serieswise Armendariz rings. Rendiconti del Circolo Matematico di Palermo 59:1, pages 87-99.
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LUNQUN OUYANG. (2009) ORE EXTENSIONS OF WEAK ZIP RINGS. Glasgow Mathematical Journal 51:3, pages 525-537.
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A. S. Kuz’mina. (2009) Varieties of rings, where all subdirectly irreducible finite rings are Armendariz ones. Russian Mathematics 53:8, pages 36-42.
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Ebrahim Hashemi. (2008) ON WEAK ARMENDARIZ IDEALS. Communications of the Korean Mathematical Society 23:3, pages 333-342.
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Ramon Antoine. (2008) Nilpotent elements and Armendariz rings. Journal of Algebra 319:8, pages 3128-3140.
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