Add to ORKGIn this note, we introduce the concept of central CNZ rings, which is a generalization of CNZ rings [1]. A ring R is called central CNZ if for any a, b ?nil(R), ab = 0 implies that ba is central, where nil(R) is the set of all nilpotent elements in R. We investigate the structure of central CNZ rings and their related properties. © 2018, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.Firat University Scientific Research Projects Management Unit --This work was supported by Ahi Evran University Scientific Research Projects Coordination Unit. Project Number: FEF. E2. 17. 055. -
We show that an idempotent lies in the center if it commutes with the other idempotents in the ring....
Let ℱ be a field of zero characteristic, let Nn(ℱ) denote the algebra of n×n strictly upper triangul...
We describe all linear maps $f:N_r\rightarrow N_r$ satisfying $[f(A),A]\in Z(N_r)$ for every $A\in N...
WOS: 000344830500006In this paper, we introduce a class of rings which is a generalization of revers...
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WOS: 000315844800008Let R be a ring with identity. We introduce a class of rings which is a generali...
Abstract. We introduce the notion of central Armendariz rings which are a generalization of Armendar...
We study some properties related to zero divisors and reversibility in noncommutative rings
We introduce the notion of central Armendariz rings which are a generalization of Armendariz rings a...
AbstractLet Ω be a commutative ring with 1, and let R be an Ω-algebra with center C. A polynomial f(...
AbstractWe give an example of a prime ring with zero center such that its central closure is a simpl...
AbstractWe study the structure of the set of nilpotent elements in Armendariz rings and introduce ni...
Abstract. A ring R is called reversibly Armendariz if bjai = 0 for all i; j whenever f(x)g(x) = 0 f...
AbstractWe prove that the centralizer Cen(φ)⊆ EndR(M) of a nilpotent endomorphism φ of a finitely ge...
AbstractA ring R is called reversible if ab=0 implies ba=0 for a,b∈R. We continue in this paper the ...
We show that an idempotent lies in the center if it commutes with the other idempotents in the ring....
Let ℱ be a field of zero characteristic, let Nn(ℱ) denote the algebra of n×n strictly upper triangul...
We describe all linear maps $f:N_r\rightarrow N_r$ satisfying $[f(A),A]\in Z(N_r)$ for every $A\in N...
WOS: 000344830500006In this paper, we introduce a class of rings which is a generalization of revers...
Let R be a ring with identity. We introduce a class of rings which is a generalization of reduced ri...
WOS: 000315844800008Let R be a ring with identity. We introduce a class of rings which is a generali...
Abstract. We introduce the notion of central Armendariz rings which are a generalization of Armendar...
We study some properties related to zero divisors and reversibility in noncommutative rings
We introduce the notion of central Armendariz rings which are a generalization of Armendariz rings a...
AbstractLet Ω be a commutative ring with 1, and let R be an Ω-algebra with center C. A polynomial f(...
AbstractWe give an example of a prime ring with zero center such that its central closure is a simpl...
AbstractWe study the structure of the set of nilpotent elements in Armendariz rings and introduce ni...
Abstract. A ring R is called reversibly Armendariz if bjai = 0 for all i; j whenever f(x)g(x) = 0 f...
AbstractWe prove that the centralizer Cen(φ)⊆ EndR(M) of a nilpotent endomorphism φ of a finitely ge...
AbstractA ring R is called reversible if ab=0 implies ba=0 for a,b∈R. We continue in this paper the ...
We show that an idempotent lies in the center if it commutes with the other idempotents in the ring....
Let ℱ be a field of zero characteristic, let Nn(ℱ) denote the algebra of n×n strictly upper triangul...
We describe all linear maps $f:N_r\rightarrow N_r$ satisfying $[f(A),A]\in Z(N_r)$ for every $A\in N...