具有一般覆盖环的K + M构造及与多项式复合的关系
K + M constructions with general overrings and relationships with polynomial composites
摘要：
本文考虑K + M的构造，其中K是整环，M是域L中某个系数多项式环的极大理想，K是它的子环.除了通常的域，我们还考虑了诺特域，Prufer域和GCD域。特别地，多项式复合是K + M构造的情况。在本文中，我们将发现许多与多项式复合相关的构造结论。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
