gruelling
发表于 2025-4-1 04:32:46
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ABIDE
发表于 2025-4-1 06:17:13
Quasi-complete Semilocal Rings and Modules,ondition: given any descending chain of ideals . with ., for each positive integer . there exists an .. with .. A finitely generated .-module . is said to be (.) . if for any descending chain . of .-submodules of . (with .) and . ≥ 1, there exists an .. with .. An easy modification of Chevalley’s pr
尊敬
发表于 2025-4-1 13:18:10
On the Total Graph of a Ring and Its Related Graphs: A Survey,ith vertices all elements of ., and two distinct vertices . and . are adjacent if and only if . + . ∈ .(.). This type of graphs has been studied by many authors. In this paper, we state many of the main results on the total graph of a ring and its related graphs.
CRP743
发表于 2025-4-1 17:02:57
Prime Ideals in Polynomial and Power Series Rings over Noetherian Domains,ries. We include a new result that is related to current work of the authors : Theorem 5.4 gives a general description of the prime spectra of the rings . and .[.][[.]]∕.′, where . and . are indeterminates over a one-dimensional Noetherian integral domain . an
专心
发表于 2025-4-1 19:29:36
On a New Class of Integral Domains with the Portable Property,ch that .. ∈ .. Such domains are related to several known kinds of domains, such as divided domains and straight domains. It is shown that “locally pseudo-almost divided” is a portable property of domains. Hence, if . is a domain with a maximal ideal . and . is a subring of .∕., then the pullback .
Corral
发表于 2025-4-1 22:59:48
The Probability That Int,(,) Is Free, of . is a subgroup of the class group of . generated by the well-known factorial ideals .! . of .. A . of Int(.) is a .-module basis consisting of one polynomial of each degree. It is well known that Int(.) has a regular basis if and only if the group PO(.) is trivial, if and only if the .-module I
Resection
发表于 2025-4-2 06:29:17
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组装
发表于 2025-4-2 09:31:59
Stable Homotopy Theory, Formal Group Laws, and Integer-Valued Polynomials,laws. For several generalized homology theories certain values of the theories have a natural description as such algebras and since these values are the ones arising in the construction of the Adams-Novikov spectral sequence for computing stable homotopy groups these algebras and their homological
低位的人或事
发表于 2025-4-2 11:30:27
How to Construct Huge Chains of Prime Ideals in Power Series Rings,als in the polynomial ring .[.] has length at most 2. + 1. For the power series ring .[[.]], there is however no similar upper bound on lengths of chains of its prime ideals. In fact, in some special cases, there may exist chains of prime ideals in .[[.]] with huge lengths (e.g., .) even if each