Binary modules and their endomorphisms
Commutative Algebra
2012-12-11 v1
Abstract
Based upon properties of ordinal length, we introduce a new class of modules, the binary modules, and study their endomorphism ring. The nilpotent endomorphisms form a two-sided ideal, and after factoring this out, we get a commutative ring. In particular, any binary module without embedded primes is isomorphic to an ideal in a reduced ring.
Cite
@article{arxiv.1212.2171,
title = {Binary modules and their endomorphisms},
author = {Hans Schoutens},
journal= {arXiv preprint arXiv:1212.2171},
year = {2012}
}