Titlebook: Rings, Monoids and Module Theory; AUS-ICMS 2020, Sharj Ayman Badawi,Jim Coykendall Conference proceedings 2021 The Editor(s) (if applicable

Innocence

Where Some Inert Minimal Ring Extensions of a Commutative Ring Come from, II,f rings . such that . and the extension . is an inert minimal ring extension. This note gives two foundational results that could be used to reorganize the examples from the prequel in a more efficient and transparent way. We also give a result pointing the way to further work on analogous problems

PAEAN

描绘

On a Problem About Lowest Terms Domains Posed by D. D. Anderson,t terms. They proved that the class of lowest terms domains contains the class of reduced to lowest terms domains. They also asked whether that containment is strict. In this paper, we prove that the domain candidate proposed by them certainly answers the question positively. Our techniques involve

NAV

Regularity and Related Properties in Tensor Products of Algebras Over a Field,in ring, and complete intersection ring. However, it is well known that a tensor product of two extension fields is not necessarily regular. In 1965, Grothendieck showed that it is, in fact, regular if one of the two fields is separable and finitely generated. Since then, many articles appeared in t

Atrium

Cuisine

On the Characterization of ,-Atoms,ve been worked mostly for small values of .. One of these problems is finding .-irreducible elements or .-atoms in order to characterize elements that have a .-factorization in .-atoms. The .-irreducible elements are well known for .. However, the problem of determining the .-atoms becomes much more

phase-2-enzyme

北京人起源

Indecisive

Bounded and Finite Factorization Domains,erson, D. F. Anderson, and M. Zafrullah in their systematic study of factorization in atomic integral domains. In this chapter, we present some of the most relevant results on bounded and finite factorization domains.

结合

,On the Set of Molecules of Numerical and Puiseux Monoids,ts of molecules of various subclasses of Puiseux monoids with different atomic behaviors. In particular, we positively answer the following recent realization conjecture: for each . there exists a numerical monoid whose set of molecules that are not atoms has cardinality ..