Affiliation:
1. Department of Mathematics and Statistics, James Madison University, Harrisonburg, Virginia 22807, USA
Abstract
The idempotent quiver of a nearring R is a directed graph formed using primitive idempotents of R corresponding to the isomorphism classes of the type 2 modules of R. In this paper, we construct such quivers when R satisfies the descending chain condition on right R-subgroups and J2(R) is nilpotent, consider their computation, and study their relationship with the structure of R and its modules.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
3 articles.
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1. 1-affine completeness of compatible modules;Algebra universalis;2016-06-07
2. Units of compatible nearrings;Monatshefte für Mathematik;2010-01-28
3. Compatible extensions of nearrings;Monatshefte für Mathematik;2009-07-09