Results 121 to 130 of about 97,313 (257)
Isomorphism of generalized triangular matrix-rings and recovery of tiles
International Journal of Mathematics and Mathematical Sciences, 2003 We prove an isomorphism theorem for generalized triangular matrix-rings, over rings having only the idempotents 0and 1, in particular, over indecomposable commutative rings or over local rings (not necessarily commutative).
R. Khazal, S. Dăscălescu, L. Van Wyk
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Journal of Kufa for Mathematics and Computer, 2013 Let  be a commutative ring with identity . It is well known that a topology was defined for  called the Zariski topology (prime spectrum) . In this paper we will generalize this idea for near prime ideal . If  be a commutative near-ring with identity
Hadi J Mustafa +1 more
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COMMUTATIVITY THEOREMS FOR RINGS WITH CONSTRAINTS ON COMMUTATORS
Tamkang Journal of Mathematics, 1995 Let $R$ be a left (resp. right) $s$-unital ring and $m$ be a positive integer. Suppose that for each $y$ in $R$ there exist $J(t)$, $g(t)$, $h(t)$ in $Z[t]$ such that $x^m[x,y]= g(y)[x,y^2f(y)]h(y)$ (resp. $[x,y]x^m= g(y)[x,y^2f(y)]h(y))$ for all $x$ in $R$. Then $R$ is commutative (and conversely).
Mohd Ashraf, Hamza A. S. Abujabal
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S-J-Ideals: A Study in Commutative and Noncommutative Rings
Journal of MathematicsIn this paper, we introduce the concept of S-J-ideals in both commutative and noncommutative rings. For a commutative ring R and a multiplicatively closed subset S, we show that many properties of J-ideals apply to S-J-ideals and examine their ...
Alaa Abouhalaka +2 more
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Journal of Algebra, 1988 The purpose of this article is to present the idea of coloring of a commutative ring. This idea establishes a connection between graph theory and commutative ring theory which hopefully will turn out to be mutually beneficial for these two branches of mathemathics.
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Effect of Polynomial Identity x[x, y] = (x[x, y])n in the Commutativity of Rings
Journal of Mathematical Extension, 2009 . In this paper we study some sufficient conditions for commutativity of a ring according to Jacobsons’idea. Jacobson proved that if R is a ring satisfying x n = x (n > 1) for each x ∈ R, then R is commutative.
Z. Tabatabaei
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Non-commutative Henselian rings
Journal of Algebra, 2009 7 pages; Added references, email and postal ...
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