Results 11 to 20 of about 14,293,729 (308)

Armendariz Rings and Reduced Rings

Journal of Algebra, 2000
Throughout this paper, all rings are associative with identity. Given a w x ring R, the polynomial ring over R is denoted by R x . This paper concerns the relationships between Armendariz rings and reduced rings, w x being motivated by the results in 1 ...
N. Kim, Yang Lee
semanticscholar   +5 more sources

Reduced p.p.-rings without identity [PDF]

International Journal of Mathematics and Mathematical Sciences, 2006
We give some necessary and sufficient conditions for p.p.-rings without identity to be reduced. Our results strengthen and extend the results of Fraser and Nicholson as well as some recent results we obtained on reduced p.p.-rings with identity.
Xiaojiang Guo, K. P. Shum
doaj   +2 more sources

Nilpotent elements and reduced rings

Turkish Journal of Mathematics, 2011
In this paper, we show the following results: (1) R is a min-leftsemicentral ring if and only if eR(1 − e)Re =0 for alle ∈ ME l(R) ; (2) Quasi-normal rings, NI rings and weakly reversible rings are all minleftsemicentral ring; (3) R is left MC 2 ring if ...
Junchao Wei, Libin Li
semanticscholar   +2 more sources

On p.p.-rings which are reduced [PDF]

International Journal of Mathematics and Mathematical Sciences, 2006
Denote the 2×2 upper triangular matrix rings over ℤ and ℤp by UTM2(ℤ) and UTM2(ℤp), respectively. We prove that if a ring R is a p.p.-ring, then R is reduced if and only if R does not contain any subrings isomorphic to UTM2(ℤ) or UTM2(ℤp).
Xiaojiang Guo, K. P. Shum
doaj   +2 more sources

Some Results on Reduced Rings

مجلة بغداد للعلوم, 2008
The main purpose of this paper is to study some results concerning reduced ring with another concepts as semiprime ring ,prime ring,essential ideal ,derivations and homomorphism ,we give some results a bout that.
Baghdad Science Journal
doaj   +4 more sources

On Commutative Reduced Baer Rings [PDF]

Journal of Sciences, Islamic Republic of Iran, 2004
It is shown that a commutative reduced ring R is a Baer ring if and only if it is a CS-ring; if and only if every dense subset of Spec (R) containing Max (R) is an extremally disconnected space; if and only if every non-zero ideal of R is essential in a ...
doaj   +1 more source

p.p. rings and reduced rings [PDF]

Czechoslovak Mathematical Journal, 1979
G. Szeto
semanticscholar   +2 more sources

Generalized weakly central reduced rings

TURKISH JOURNAL OF MATHEMATICS, 2015
Ying Zhou, Junchao Wei
semanticscholar   +2 more sources

ON ORTHOGONAL COMPLETION OF REDUCED RINGS [PDF]

Pacific Journal of Mathematics, 1983
It is known that the relation \(a\leq b\) if \(a\cdot b=a^ 2\) defined for reduced rings R (rings with no nonzero nilpotent elements) makes R into a partially ordered multiplicative semigroup. A subset X of R is called an orthogonal subset of R if for x,\(y\in X\), \(x\neq y\) implies \(x\cdot y=0\).
R. Rai
semanticscholar   +4 more sources

On Almost WJCP-Injective Rings [PDF]

مجلة التربية والعلم, 2019
Let R be a ring. The ring  is called right almost WJCP-injective. If for any , (right non singular) there exists a left ideal  of  such that . In this paper, we give some characterization and properties of almost WJCP-injective rings, which are proper ...
Shaima Ahmed, Raed Mahmoud
doaj   +1 more source