Results 11 to 20 of about 42 (33)

Left WMC2 Rings

International Journal of Mathematics and Mathematical Sciences, Volume 2011, Issue 1, 2011., 2011
We introduce in this paper the concept of left WMC2 rings and concern ourselves with rings containing an injective maximal left ideal. Some known results for left idempotent reflexive rings and left HI rings can be extended to left WMC2 rings. As applications, we are able to give some new characterizations of regular left self‐injective rings with ...
Junchao Wei, Frank Werner
wiley   +1 more source

Generalized Baer rings

International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006
We investigate the question whether the p.q.‐Baer center of a ring R can be extended to R. We give several counterexamples to this question and consider some conditions under which the answer may be affirmative. The concept of a generalized p.q.‐Baer property which is a generalization of Baer property of a ring is also introduced.
Tai Keun Kwak
wiley   +1 more source

Adjoint regular rings

International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 8, Page 459-466, 2002., 2002
Let R be a ring. The circle operation is the operation a∘b = a + b − ab, for all a, b ∈ R. This operation gives rise to a semigroup called the adjoint semigroup or circle semigroup of R. We investigate rings in which the adjoint semigroup is regular. Examples are given which illustrate and delimit the theory developed.
Henry E. Heatherly, Ralph P. Tucci
wiley   +1 more source

On semicentral idempotents in near-rings

Applied Mathematical Sciences, 2015
openaire   +1 more source

Rectangular groupoids and related structures.

Discrete Math, 2013
Boykett T.
europepmc   +1 more source

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PROPERTIES OF SEMICENTRAL IDEMPOTENT NEAR-RINGS

Far East Journal of Mathematical Sciences, 2016
exaly   +2 more sources

Algebras Generated by Semicentral Idempotents

Acta Mathematica Hungarica, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Birkenmeier, G. F., Heatherly, H., Kim, J. Y., Park, J. K.   +3 more
openaire   +1 more source

The role of semicentral idempotents in the decomposition of square matrices over a ring

Communications in Algebra
exaly   +2 more sources

The role of semicentral idempotents in triangular matrix rings

Communications in Algebra
exaly   +2 more sources

Semicentral idempotents of upper triangular matrix rings

Journal of Algebra and Its Applications
In this paper, we describe the necessary and sufficient conditions for upper triangular [Formula: see text] matrix over a ring to be left (right) semicentral idempotent. Circle compositions of left and right semicentral idempotent matrices ([Formula: see text]) are considered. Many researchers deal with the problems of expressing various matrices as a
openaire   +1 more source