Results 261 to 270 of about 110,346 (305)
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The complete matrix ring over an adjoint regular ring is adjoint regular
Semigroup Forum, 2009A ring \(R\) is adjoint regular if \(R\) forms a regular semigroup with respect to the circle composition \(a\circ b=a+b-ab\). \textit{X.-K. Du} [Northeast. Math. J. 4, No. 4, 463-468 (1988; Zbl 0697.16007)] has conjectured that the ring \(R_n\) of all \(n\times n\) matrices over \(R\) is adjoint regular whenever \(R\) is.
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Abelian Groups With Sufficiently π-Regular Endomorphism Ring [PDF]
Russian Mathematics, 2018 The notion of π-regular endomorphism ring of an abelian group, which generalizes the notion of regular endomorphism ring, was introduced in papers of L. Fuchs and K. Rangaswamy.
V M Misyakov, Misyakov V M
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Robustness of regular ring lattices based on natural connectivity [PDF]
International Journal of Systems Science, 2011 12.12.13 KB. Ok to add accepted version to spiral, embargo elapsed.It has been recently proposed that natural connectivity can be used to efficiently characterise the robustness of complex networks.
Mauricio Barahona, Jun Wu
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Acta Mathematica Hungarica, 1997
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Groenewald, N. J., Olivier, W. A.
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Groenewald, N. J., Olivier, W. A.
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Acta Mathematica Sinica, English Series, 2002
Various results about (von Neumann) regular rings and their projective modules are carried over to ideals in regular rings. These include relations among the concepts of one-sided unit-regularity, stable rank \(1\), separativity, cancellation and substitution properties. In particular, the authors define a condition they call `the comparability' for an
Chen, Huanyin, Li, Fu-an
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Various results about (von Neumann) regular rings and their projective modules are carried over to ideals in regular rings. These include relations among the concepts of one-sided unit-regularity, stable rank \(1\), separativity, cancellation and substitution properties. In particular, the authors define a condition they call `the comparability' for an
Chen, Huanyin, Li, Fu-an
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Mediterranean Journal of Mathematics, 2018
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Chen, Huanyin +2 more
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Regular Rings are Very Regular
Canadian Mathematical Bulletin, 1982The following problem arose in a conversation with Abraham Zaks: “Suppose R is an associative ring with identity such that every finitely generated left ideal is generated by idempotents. Is R von-Neumann regular?” In the literature the “s” in “idempotents” is missing, and is replaced by “an idempotent”. The answer is, “Yes!”
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