Titlebook: Algebraic, Number Theoretic, and Topological Aspects of Ring Theory; Jean-Luc Chabert,Marco Fontana,Keith Johnson Book 2023 Springer Natur

coddle

,Abschlie?ende Betrachtung und Ausblick,e multiplicative structure of numerical monoids and are also closely related to monoids of zero-sum sequences and certain affine monoids. Here we provide a first general study of this more general construction. Specifically, we study the algebraic and arithmetic properties of complement-finite ideal

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殘忍

Progesterone

V. A. Prokopenko,Z. R. Ulberg,N. V. Pertsovhe introduction of a truss as a ring-like system (and also a brace-like system). Thus one can observe the categorical construction of modules over trusses. Earlier, it has been shown that the direct sum of two non-empty Abelian heaps is isomorphic to a heap related to the direct sums of the group re

調(diào)整

International Political Economy Seriesions and divisibility in atomic domains have been systematically investigated for more than 30 years, the same aspects in the more general context of atomic semidomains have been considered just recently. Here we study subatomicity in the context of semidomains; that is, we study semidomains satisfy

Kernel

International Political Economy Seriesy to their classical counterparts, but replacing (.-)invertibility in their total quotient ring with (.-)invertibility in their ring of finite fractions. We prove many new characterizations of (.-)Dedekind rings, (.-)Krull rings, strongly Prüfer rings, and (.-)Prüfer .-multiplication rings, and we g

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AGOG

,The Military’s Agency Patterns,sure . of . in . is shown to be the intersection of all .?∈?[., .], such that .???. is Prüfer. We are then able to establish an avoidance lemma for integrally closed subextensions. Rings of sections of the affine scheme defined by . provide results on .-regular ideals. Some results on pullbacks char

indifferent

,Yosida, Martínez, and ,?+?, Rings,(Commun Alg 14:557–580, 1986) systematized the construction, useful for finding interesting examples of rings with zero-divisors. We study three properties in the context of .?+?. rings, all relating to the prime spectrum (and ultimately the frame of radical ideals) of a commutative ring ..

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Bounded Factorization and the Ascending Chain Condition on Principal Ideals in Generalized Power Seipal ideals or possess the bounded factorization property. Along the way, we consider when a generalized power series ring is domainlike or (weakly) présimplifiable. As corollaries to our general theorems, we derive new factorization-theoretic results about (Laurent) power series rings and the “l(fā)arge polynomial rings” of Halter-Koch.