논문KCI 등재
Idealizers, Complete Integral Closures and Almost Pseudo-valuation Domains
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Abstract
We determine the complete integral closure R of an almost pseudo-valuation domain R : if R has a prime ideal P of height 1, then R= ( P :P) and R= RP provided that R is of dimension 2, and if otherwise,R= K .
참고문헌 (5)
- "Comparability of ideals and valuation overrings", 5, pp.451~463 (1979)
- "Pair of rings with the same prime ideals", 32, pp.362~384 (1980)
- "Powerful ideals, strongly prime ideals, almost pseudovaluationdomains, and conducive domains", 30, pp.1591~1606 (2002)
- "The divisor class group of a Krull domain", new york (1973)
- "Multiplicative ideal theory", new york (1972)
관련 논문AI추천
On almost pseudo-valuation domains장규환강원경기수학회 · 한국수학논문집2010 · 제18권 제2호On almost pseudo-valuation domains, II장규환강원경기수학회 · 한국수학논문집2011 · 제19권 제4호ON ALMOST FACTORIALITY OF INTEGRAL DOMAINS임정욱장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제4호Domains with invertible-radical factorizationMalik Tusif Ahmed, Tiberiu Dumitrescu대한수학회 · 대한수학회보2018 · 제55권 제3호On pseudo 2-prime ideals and almost valuation domainsSuat Koc대한수학회 · 대한수학회보2021 · 제58권 제4호LOCALLY PSEUDO-VALUATION DOMAINS OF THE FORM D[X]Nv장규환대한수학회 · 대한수학회지2008 · 제45권 제5호
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