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arXiv · 2011.12777

K + M constructions with general overrings and relationships with polynomial composites

Lukasz Matysiak
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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.

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Lukasz Matysiak. 2020-11-22. K + M constructions with general overrings and relationships with polynomial composites. https://arxiv.org/abs/2011.12777

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