Semistar ascending chain conditions over polynomial rings
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DOI: 10.1007/s11587-021-00555-7
Abstract: Let D be an integral domain. G. Picozza associated to a stable semistar operation $$\star $$ on D, a semistar operation $$\star _1$$ on the polynomial ring D[X]. We defined the notion of semistar accr… read more here.
Keywords: semistar; ascending chain; widetilde star; star ... See more keywords
Ascending chain condition for $F$ -pure thresholds on a fixed strongly $F$ -regular germ
Sign Up to like & getrecommendations! Published in 2019 at "Compositio Mathematica"
DOI: 10.1112/s0010437x19007358
Abstract: In this paper, we prove that the set of all $F$ -pure thresholds on a fixed germ of a strongly $F$ -regular pair satisfies the ascending chain condition. As a corollary, we verify the ascending… read more here.
Keywords: ascending chain; chain condition; pure thresholds;