Results 11 to 20 of about 300,701 (162)
?-Armendariz Rings and Related Concepts [PDF]
مجلة بغداد للعلوم, 2016 In this paper we investigated some new properties of ?-Armendariz rings and studied the relationships between ?-Armendariz rings and central Armendariz rings, nil-Armendariz rings, semicommutative rings, skew Armendariz rings, ?-compatible rings and ...
Baghdad Science Journal
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Weak Quasi-Armendariz Rings [PDF]
Algebra Colloquium, 2011 In this paper, we introduce and study weak quasi-Armendariz rings which unify the notions of weak Armendariz rings and quasi-Armendariz rings. It is shown that the weak quasi-Armendarizness is a Morita invariant property. For a semiprime ring R, it is shown that R[x]/〈xn〉 is weak quasi-Armendariz, where R[x] is the polynomial ring over R and 〈xn〉 is ...
Baser, Muhittin +3 more
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Central Armendariz rings. [PDF]
, 2011 Let \(R\) be a ring with 1, \(C\) the center of \(R\), \(R[x]\) the polynomial ring with an indeterminate \(x\), and \(R[x,x^{-1}]\) the Laurent polynomial ring. If \((\sum_{i=0}^n a_ix^i)(\sum_{j=0}^m b_jx^j)=0\) for \(\sum_{i=0}^n a_ix^i,\sum_{j=0}^m b_jx^j\not=0\) in \(R[x]\) implies that \(a_ib_j\in C\) for all \(i\) and \(j\), then \(R\) is called
HALICIOĞLU, SAİT +3 more
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Extended Armendariz Rings [PDF]
, 2013 In this note we introduce central linear Armendariz rings as a generalization of Armendariz rings and investigate their properties.
Agayev, Nazım +2 more
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Quasi-Armendariz rings relative to a monoid [PDF]
Journal of Pure and Applied Algebra, 2007 Let \(M\) be a monoid. An associative ring \(R\) with an identity is called \(M\)-quasi-Armendariz if for any two elements \(a=a_1g_1+\cdots+a_ng_n\) and \(b=b_1h_1+\cdots+b_kh_k\), \(a_i,b_j\in R\), \(g_i,h_j\in M\), of the semigroup ring \(R[M]\) such that \(aR[M]b=0\) it follows that \(a_iRb_j=0\) for all \(i,j\).
Hashemi, Ebrahim
openaire +3 more sources
Endo-Noetherian Skew Generalized Power Series Rings [PDF]
Assiut University Journal of Multidisciplinary Scientific Research, 2023 Endo-Noetherian modules were introduced by A. Kaidi and E. Sanchez] as a generalization of Noetherian modules. A left Ɍ-module M which satisfies the ascending chain condition for endomorphic kernels is said to be endo-Noetherian.
Ramy Abdel-Khaleq +2 more
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ON ANNIHILATOR PROPERTIES OF INVERSE SKEW POWER SERIES RINGS [PDF]
Journal of Algebraic Systems, 2015 Let $alpha$ be an automorphism of a ring $R$. The authors [On skewinverse Laurent-serieswise Armendariz rings, Comm. Algebra 40(1)(2012) 138-156] applied the concept of Armendariz rings to inverseskew Laurent series rings and introduced skew ...
Mohammad Habibi
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A Note on Skew Generalized Power Serieswise Reversible Property
International Journal of Analysis and Applications, 2023 The aim of this paper is to introduce and study (S, ω)-nil-reversible rings wherein we call a ring R is (S, ω)-nil-reversible if the left and right annihilators of every nilpotent element of R are equal.
Eltiyeb Ali
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On Crossed Product Rings Over p.q.-Baer and Quasi-Baer Rings
International Journal of Analysis and Applications, 2023 In this paper, we consider a ring R and a monoid M equipped with a twisting map f: M×M -> U(R) and an action map ω: M -> Aut(R). The main objective of our study is to investigate the conditions under which the crossed product structure R⋊M is p.q.-Baer ...
Eltiyeb Ali
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A GENERALIZATION OF NIL-ARMENDARIZ RINGS
Journal of Algebra and Its Applications, 2013 Let R be a ring, M a monoid and ω : M → End (R) a monoid homomorphism. The skew monoid ring R * M is a common generalization of polynomial rings, skew polynomial rings, (skew) Laurent polynomial rings and monoid rings. In the current work, we study the nil skew M-Armendariz condition on R, a generalization of the standard nil-Armendariz condition from
Habibi, Mohammad, Manaviyat, Raoufeh
+8 more sources