Demazure Construction for ℤn-Graded Krull Domains
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Vietnamica"
DOI: 10.1007/s40306-018-0281-0
Abstract: For a Mori dream space X, the Cox ring Cox(X) is a Noetherian ℤn$\mathbb {Z}^{n}$-graded normal domain for some n > 0. Let C(Cox(X)) be the cone (in ℝn$\mathbb {R}^{n}$) which is spanned by the vectors… read more here.
Keywords: graded krull; mathbb; demazure construction; krull domains ... See more keywords
Almost Krull domains and their rings of integer–valued polynomials
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DOI: 10.1016/j.jpaa.2019.106269
Abstract: Abstract We investigate some ring theoretic properties of almost Krull domains. By using the language of star operations, we shed new light on the work of Pirtle on almost Krull domains. That allows us to… read more here.
Keywords: domains rings; almost krull; rings integer; integer valued ... See more keywords
A homological characterization of Krull domains II
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DOI: 10.1080/00927872.2018.1524007
Abstract: Abstract In this article, we introduce a new type of projective modules, called the weak w-projective module. By using this type of modules, we give a homological characterization of Krull domains. More precisely, it is… read more here.
Keywords: characterization krull; homological characterization; krull; krull domains ... See more keywords
Gorenstein Krull domains and their factor rings
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DOI: 10.1080/00927872.2024.2319109
Abstract: Abstract The concept of Gorenstein Krull domains can be viewed as a Gorenstein analogue of Krull domains, which are not necessarily integrally closed. This allows us to study those domains from the point view of… read more here.
Keywords: krull domains; algebra; domains factor; factor rings ... See more keywords