On skew polynomial rings and some related rings

Abstract

For a ring A with identity and a monoid G we consider "monoid rings" with respect to G over A where the multiplication (a¢x)(b ¢ y) (a; b 2 A; x; y 2 G) is determined by a monoid homomorphism G ! End(A). Examples include various skew polynomial rings. There is also a link to Z2¡ graded rings.