On p.p.-rings which are reduced.
Guo, Xiaojiang, Shum, K.P. (2006)
International Journal of Mathematics and Mathematical Sciences
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Guo, Xiaojiang, Shum, K.P. (2006)
International Journal of Mathematics and Mathematical Sciences
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Nasr-Isfahani, A.R., Moussavi, A. (2007)
International Journal of Mathematics and Mathematical Sciences
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Chen, Weixing (2006)
International Journal of Mathematics and Mathematical Sciences
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Bakkari, Chahrazade, Mahdou, Najib (2009)
Beiträge zur Algebra und Geometrie
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Manfred Dugas, Shalom Feigelstock (2004)
Rendiconti del Seminario Matematico della Università di Padova
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Eliza Wajch (1988)
Colloquium Mathematicae
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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...
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...
Samman, Mohammad (2003)
Mathematica Pannonica
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Walter D. Burgess, Robert M. Raphael (1981)
Czechoslovak Mathematical Journal
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