نتایج جستجو برای: baer rings

تعداد نتایج: 49479  

Journal: :Discussiones Mathematicae - General Algebra and Applications 2018

Journal: :Int. J. Math. Mathematical Sciences 2007
Abdelfattah Haily H. Rahnaoui

In ring theory, the notion of annihilator is an important tool for studying the structures. Many characterizations and structure theorems can be derived by using this notion. On the other hand, certain classes of rings (e.g., Baer rings and Rickart rings) are defined by considering annihilators ideals. In the present work, we introduce a class of rings which is close to the class of Rickart rin...

Journal: :iranian journal of mathematical sciences and informatics 0
n. ashrafi department of mathematics, semnan university, semnan, iran n. pouyan

in this paper, we investigate various kinds of extensions of twin-good rings. moreover, we prove that every element of an abelian neat ring r is twin-good if and only if r has no factor ring isomorphic to z2  or z3. the main result of [24] states some conditions that any right self-injective ring r is twin-good. we extend this result to any regular baer ring r by proving that every element of a...

Journal: :Bulletin of the Korean Mathematical Society 2009

Journal: :Results in Mathematics 2021

Abstract The aim of the paper is to generalize decomposition theorems showed in Bagheri-Bardi et al. (Linear Algebra Appl 583:102–118, 2019; Linear 539:117–133, 2018) by a unified approach. We show general theorem with respect hereditary property. Then vast majority decompositions known algebra Hilbert space operators generalized elements Baer $$*$$ <mml:math xmlns:mml="http://www.w3.org/1998/M...

In this paper, we investigate various kinds of extensions of twin-good rings. Moreover, we prove that every element of an abelian neat ring R is twin-good if and only if R has no factor ring isomorphic to‌ Z2&nbsp; or Z3. The main result of [24] states some conditions that any right self-injective ring R is twin-good. We extend this result to any regular Baer ring R by proving that every elemen...

Journal: :Taiwanese Journal of Mathematics 2008

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