Displaying similar documents to “On structure of certain periodic rings and near-rings.”

P -clean rings.

Chen, Weixing (2006)

International Journal of Mathematics and Mathematical Sciences

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On Armendariz rings.

Bakkari, Chahrazade, Mahdou, Najib (2009)

Beiträge zur Algebra und Geometrie

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AE-rings

Manfred Dugas, Shalom Feigelstock (2004)

Rendiconti del Seminario Matematico della Università di Padova

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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.

Extension of semiclean rings

Chahrazade Bakkari, Mohamed Es-Saidi, Najib Mahdou, Moutu Abdou Salam Moutui (2022)

Czechoslovak Mathematical Journal

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This paper aims at the study of the notions of periodic, UU and semiclean properties in various context of commutative rings such as trivial ring extensions, amalgamations and pullbacks. The results obtained provide new original classes of rings subject to various ring theoretic properties.