K + M constructions with general overrings and relationships with polynomial composites
Commutative Algebra
2022-07-29 v2
Abstract
In this paper we consider the construction of K + M, where K is the domain, M is the maximal ideal of a some ring of polynomials with coefficients from the field L, where K is its subring. In addition to the usual domains, we also consider the Noetherian, Prufer and GCD-domains. In particular, polynomial composites are a case of K + M construction. In this paper we will find numerous construction conclusions related to polynomial composites.
Keywords
Cite
@article{arxiv.2011.12777,
title = {K + M constructions with general overrings and relationships with polynomial composites},
author = {Lukasz Matysiak},
journal= {arXiv preprint arXiv:2011.12777},
year = {2022}
}
Comments
15 pages, submitted