Dually steady rings. (English) Zbl 1259.16003

From the introduction: The main focus of this paper is to draw attention to possible duals of steady rings. First of all we sum up well known facts which allow us to define two variants of dually steady rings and which easily produce basic results about the notions. Thus this paper should serve as an introduction to the topic only and many results are straightforward consequences or generalizations of older ones.


16D70 Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras)
16S10 Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.)
16E50 von Neumann regular rings and generalizations (associative algebraic aspects)