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

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.

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.