An alternate criterion of colocalized-localized modules.
The aim of this note is to express a module which is localized as well as colocalized in terms of an object of an intersecting subcategory related to static modules.
Partially flat and projective modules.
Assume that A and B are rings with identity and that M and N are (B,A) and (A,B) bimodules respectively. We say that AN (respt. MA) is
A class of zero divisor rings in which every graph is precisely the union of a complete graph and a complete bipartite graph
Recently, an interest is developed in estimating genus of the zero-divisor graph of a ring. In this note we investigate genera of graphs of a class of zero-divisor rings (a ring in which every element is a zero divisor). We call a ring R to be right absorbing if for a; b in R, ab is not 0, then ab D a. We first show that right absorbing rings are generalized right Klein 4-rings of characteristic two and that these are non-commutative zero-divisor local rings. The zero-divisor graph of such a ring...
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