نتایج جستجو برای: von numann regular rings

تعداد نتایج: 264578  

Journal: :Journal of Algebra 1991

Journal: :international journal of industrial mathematics 0
sh. a. safari ‎sabet‎ department of ‎mathematics,‎ central tehran branch, islamic azad university, tehran, ‎iran‎ m. farmani young researchers and elite club, roudehen branch, islamic azad university, roudehen, ‎iran

let $r$ be an associative ring with identity. an element $x in r$ is called $mathbb{z}g$-regular (resp. strongly $mathbb{z}g$-regular) if there exist $g in g$, $n in mathbb{z}$ and $r in r$ such that $x^{ng}=x^{ng}rx^{ng}$ (resp. $x^{ng}=x^{(n+1)g}$). a ring $r$ is called $mathbb{z}g$-regular (resp. strongly $mathbb{z}g$-regular) if every element of $r$ is $mathbb{z}g$-regular (resp. strongly $...

Journal: :Bulletin of the American Mathematical Society 1939

Journal: :Proceedings of the American Mathematical Society 1986

Journal: :Journal of Pure and Applied Algebra 2007

Journal: :Transactions of the American Mathematical Society 1972

In this paper we prove that each element of any regular Baer ring is a sum of two units if no factor ring of R is isomorphic to Z_2 and we characterize regular Baer rings with unit sum numbers $omega$ and $infty$. Then as an application, we discuss the unit sum number of some classes of group rings.

2009
ANTONIO AVILÉS

The concepts of Boolean metric space and convex combination are used to characterize polynomial maps An −→ Am in a class of commutative Von Neumann regular rings including p-rings, that we have called CFG-rings. In those rings, the study of the category of algebraic varieties (i.e. sets of solutions to a finite number of polynomial equations with polynomial maps as morphisms) is equivalent to t...

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