نتایج جستجو برای: semi simple rings

تعداد نتایج: 637606  

Journal: :bulletin of the iranian mathematical society 2012
bashishth muni pandeya avanish kumar chaturvedi ashok ji gupta

an r-module m is called epi-retractable if every submodule of mr is a homomorphic image of m. it is shown that if r is a right perfect ring, then every projective slightly compressible module mr is epi-retractable. if r is a noetherian ring, then every epi-retractable right r-module has direct sum of uniform submodules. if endomorphism ring of a module mr is von-neumann regular, then m is semi-...

Journal: :Bulletin of the American Mathematical Society 1946

2007
OSCAR GOLDMAN

In this paper we investigate the conditions under which a given ring is a sub-ring of a semi-simple ring. For convenience, we say that a ring A is an extension of a ring B, if B is a sub-ring of A. It is found that the existence of a semi-simple extension is equivalent to the vanishing of the extension radical, a two-sided ideal defined analogously to the ordinary radical. In Theorem II we give...

Journal: :Pacific Journal of Mathematics 1975

Journal: :Journal of Algebra 1972

Journal: :Tohoku Mathematical Journal 1977

Journal: :Bulletin of the Australian Mathematical Society 1985

Journal: :Bulletin of the American Mathematical Society 1947

Journal: :Proceedings of the American Mathematical Society 1970

Journal: :Finite Fields and Their Applications 2017

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