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Displaying similar documents to “Generalizations of morphic group rings.”

P -clean rings.

Chen, Weixing (2006)

International Journal of Mathematics and Mathematical Sciences

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AE-rings

Manfred Dugas, Shalom Feigelstock (2004)

Rendiconti del Seminario Matematico della Università di Padova

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On rings with a unique proper essential right ideal

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...

On Armendariz rings.

Bakkari, Chahrazade, Mahdou, Najib (2009)

Beiträge zur Algebra und Geometrie

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Classification of finite rings: theory and algorithm

Mahmood Behboodi, Reza Beyranvand, Amir Hashemi, Hossein Khabazian (2014)

Czechoslovak Mathematical Journal

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An interesting topic in the ring theory is the classification of finite rings. Although rings of certain orders have already been classified, a full description of all rings of a given order remains unknown. The purpose of this paper is to classify all finite rings (up to isomorphism) of a given order. In doing so, we introduce a new concept of quasi basis for certain type of modules, which is a useful computational tool for dealing with finite rings. Then, using this concept, we give...

A-Rings

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...

Reduced near-rings

Szeto, George, Wong, Yuen-Fat (1981)

Portugaliae mathematica

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