Displaying similar documents to “A note on p.q.-Baer modules.”

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.