Results 71 to 80 of about 918,603 (135)
A Unified Approach to Generalizing π‐Extending and π‐Baer Rings
Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper introduces and examines the right essentially π‐Baer ring property, which serves as a new extension of the π‐extending and π‐Baer ring conditions. The initial phase of the study involves the development of several foundational results. The subsequent phase of the study involves the exploration of the transfer of the right essentially π‐Baer ...
Yeliz Kara, Ali Jaballah
wiley +1 more source
Suatu -modul kanan dikatakan prime jika dan hanya jika untuk setiap submodul , berlaku . -modul kanan dikatakan semiprime jika dan hanya jika submodul semiprime. Dalam tulisan ini, diberikan beberapa syarat sehingga didapat pernyataan ;
Suprapto, Suprapto
core
A Note on Skew Derivations and Antiautomorphisms of Prime Rings
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this article, we investigate the behavior of a prime ring which admits a skew derivation satisfying certain functional identities involving an antiautomorphism. We employ tools such as generalized identities and commutativity‐preserving maps to analyze these rings.
Faez A. Alqarni +5 more
wiley +1 more source
A Study of Generalized Differential Identities via Prime Ideals
Journal of Mathematics, Volume 2025, Issue 1, 2025.Let R be a ring and P be a prime ideal of R. The aim of this research paper is to delve into the relationship between the structural properties of the quotient ring R/P and the behavior of generalized derivations in a ring R endowed with an involution.
Ali Yahya Hummdi +4 more
wiley +1 more source
On Centrally Prime and Centrally Semiprime Rings [PDF]
, 2008 In this paper, centrally prime and centrally semiprime rings are defined and the relations between these two rings and prime (resp. semiprime) rings are studied.Among the results of the paper some conditions are given under which prime (resp.
Abdularahman Majeed, Adil Jabbar
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On f - prime radical in ordered semigroups
Open Mathematics, 2018 In this paper, we introduce the concepts of f-prime ideals, f-semiprime ideals and f-prime radicals in ordered semigroups. Furthermore, some results on f-prime radicals and f-primary decomposition of an ideal in an ordered semigroup are obtained.
Gu Ze
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, 2000 For prime rings R, we characterize the set U∩CR([U,U]), where U is a right ideal of R; and we apply our result to obtain a commutativity-or-finiteness theorem. We include extensions to semiprime rings.
Howard E. Bell
doaj +1 more source
Semiprime locally (-1, 1) rings with minimal condition [PDF]
, 1985 Let L be a left ideal of a right alternative ring A with characteristic ::/=2. If L is maximal and nil, then L is a two-sided ideal. If L is minimal, then it is either a two-sided ideal, or the ideal it generates is contained in the right nucleus of A ...
Smith, H., Hentzel, Irvin
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Derivations satisfying certain algebraic identities on Lie ideals [PDF]
Mathematica Moravica, 2019 Let d be a derivation of a semiprime ring R and L a nonzero Lie ideal of R. In this note, it is proved that every noncentral square-closed Lie ideal of R contains a nonzero ideal of R. Further, we use this result to characterize the conditions: d(xy) = d(
Sandhu Gurninder S., Kumar Deepak
doaj
On functional identities involving n-derivations in rings [PDF]
Journal of Mahani Mathematical ResearchIn this paper, we explore various properties associated with the traces of permuting $n$-derivations satisfying certain functional identities that operate on a Lie ideal within prime and semiprime rings.
Vaishali Varshney +3 more
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