Localizations of Hereditary Noetherian Rings
J. C. Robson (1973)
Publications du Département de mathématiques (Lyon)
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J. C. Robson (1973)
Publications du Département de mathématiques (Lyon)
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O. A. S. Karamzadeh, M. Motamedi, S. M. Shahrtash (2004)
Fundamenta Mathematicae
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Right ue-rings (rings with the property of the title, i.e., with the maximality of the right socle) are investigated. It is shown that a semiprime ring R is a right ue-ring if and only if R is a regular V-ring with the socle being a maximal right ideal, and if and only if the intrinsic topology of R is non-discrete Hausdorff and dense proper right ideals are semisimple. It is proved that if R is a right self-injective right ue-ring (local right ue-ring), then R is never semiprime and...
M. Satyanarayana (1969)
Mathematica Scandinavica
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Chr.U. Jensen (1967)
Mathematica Scandinavica
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James R. Clay, Donna K. Doi (1968)
Mathematica Scandinavica
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Robert Oliver (1980)
Mathematica Scandinavica
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Lăcrimioara Iancu, Maria S. Pop (2000)
Discussiones Mathematicae - General Algebra and Applications
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We give a construction for (m,n)-rings of quotients of a semicommutative (m,n)-ring, which generalizes the ones given by Crombez and Timm and by Paunić for the commutative case. We also study various constructions involving reduced rings and rings of quotients and give some functorial interpretations.
James R. Clay, Joseph J., Jr. Malone (1966)
Mathematica Scandinavica
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Chen, Weixing (2006)
International Journal of Mathematics and Mathematical Sciences
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Luchezar L. Avramov, Jack Lescot (1982)
Mathematica Scandinavica
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J.W. Lorimer (1992)
Forum mathematicum
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Robert Gilmer, Matthew O'Malley (1972)
Mathematica Scandinavica
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Manfred Dugas, Shalom Feigelstock (2004)
Rendiconti del Seminario Matematico della Università di Padova
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Dinh van Huynh (1986)
Mathematische Zeitschrift
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Chr.U. Jensen (1963)
Mathematica Scandinavica
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Manfred Dugas, Shalom Feigelstock (2003)
Colloquium Mathematicae
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A ring R is called an E-ring if every endomorphism of R⁺, the additive group of R, is multiplication on the left by an element of R. This is a well known notion in the theory of abelian groups. We want to change the "E" as in endomorphisms to an "A" as in automorphisms: We define a ring to be an A-ring if every automorphism of R⁺ is multiplication on the left by some element of R. We show that many torsion-free finite rank (tffr) A-rings are actually E-rings. While we have an example...