Elements in exchange rings with related comparability.

Chen, Huanyin

Displaying similar documents to “Elements in exchange rings with related comparability.”

Whitehead groups of exchange rings with primitive factors Artinian.

Chen, Huanyin, Li, Fu-an (2001)

International Journal of Mathematics and Mathematical Sciences

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On McCoy condition and semicommutative rings

Mohamed Louzari (2013)

Commentationes Mathematicae Universitatis Carolinae

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Let $R$ be a ring and $σ$ an endomorphism of $R$ . We give a generalization of McCoy’s Theorem [ Annihilators in polynomial rings, Amer. Math. Monthly 64 (1957), 28–29] to the setting of skew polynomial rings of the form $R [x; σ]$ . As a consequence, we will show some results on semicommutative and $σ$ -skew McCoy rings. Also, several relations among McCoyness, Nagata extensions and Armendariz rings and modules are studied.

Exchange rings having stable range one.

Chen, Huanyin (2001)

International Journal of Mathematics and Mathematical Sciences

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A note on p.q.-Baer modules.

Hashemi, Ebrahim (2008)

The New York Journal of Mathematics [electronic only]

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On $V$ -rings and unit-regular rings

Roger Yue Chi Ming (1981)

Rendiconti del Seminario Matematico della Università di Padova

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Some external characterizations of SV-rings and hereditary rings.

Haily, A., Rahnaoui, H. (2007)

International Journal of Mathematics and Mathematical Sciences

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VNR rings, $Π$ -regular rings and annihilators

Roger Yue Chi Ming (2009)

Commentationes Mathematicae Universitatis Carolinae

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Von Neumann regular rings, hereditary rings, semi-simple Artinian rings, self-injective regular rings are characterized. Rings which are either strongly regular or semi-simple Artinian are considered. Annihilator ideals and $Π$ -regular rings are studied. Properties of WGP-injectivity are developed.

A Survey of Rings Generated by Units

Ashish K. Srivastava (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

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This article presents a brief survey of the work done on rings generated by their units.