Displaying similar documents to “On rings with a unique proper essential right ideal”

On Armendariz rings.

Bakkari, Chahrazade, Mahdou, Najib (2009)

Beiträge zur Algebra und Geometrie

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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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Localization in semicommutative (m,n)-rings

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.

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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A note on rings of constants of derivations in integral domains

Piotr Jędrzejewicz (2011)

Colloquium Mathematicae

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We observe that the characterization of rings of constants of derivations in characteristic zero as algebraically closed subrings also holds in positive characteristic after some natural adaptation. We also present a characterization of such rings in terms of maximality in some families of rings.

Addendum to .

Carl Faith (1990)

Publicacions Matemàtiques

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In the article appeared in this same journal, vol. 33, 1 (1989) pp. 85-97, some statements in the proof of Example 3.4B got scrambled.