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On separative refinement monoids
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We obtain two new characterizations of separativity of refinement monoids, in terms of comparability-type conditions. As applications, we get several equivalent conditions of separativity for exchange ideals.
Abstract
We obtain two new characterizations of separativity of refinement monoids, in terms of comparability-type conditions. As applications, we get several equivalent conditions of separativity for exchange ideals.
참고문헌 (8)
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- P. Ara, "Separative cancellation for projective modules over exchange rings", Israel J. Math, 105, pp.105~137 (1998)
- G. Brookfield, "Monoids and Categories of Noetherian Modules", 박사, pp.1997
- K. R. Goodearl, "Von Neumann Regular Rings, Monographs and Studies in Mathematics", pp.4~ (1979), Pitman (Advanced Publishing Program)
- K. R. Goodearl, "Von Neumann regular rings and direct sum decomposition problems", Abelian groups and modules (Padova, 1994), 통권 : 343, pp.249~255 (1995), Math. Appl
- E. Pardo, "Comparability, separativity, and exchange rings", Comm. Algebra, 24(9), pp.2915~2929 (1996)
- F. Wehrung, "Restricted injectivity, transfer property and decompositions of separative positively ordered monoids", Comm. Algebra, 22(5), pp.1747~1781 (1994)
관련 논문AI추천
Refinement rings, exchange property and comparabilityChaoling Huang대한수학회 · 대한수학회보2011 · 제48권 제3호Domains with invertible-radical factorizationMalik Tusif Ahmed, Tiberiu Dumitrescu대한수학회 · 대한수학회보2018 · 제55권 제3호Zero-divisors of Semigroup ModulesPeyman Nasehpour경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제1호Classifying monoids by quasi-annihilator (homo)flatness of their right Rees factorsAbolfazl Tehranian, Hamid Rasouli, Reza Aminizadeh대한수학회 · 대한수학회논문집2020 · 제35권 제3호Semigroup rings as H-domains장규환강원경기수학회 · 한국수학논문집2011 · 제19권 제3호Factorization in modules and splitting multiplicatively closed subsetsAshkan Nikseresht대한수학회 · 대한수학회지2018 · 제55권 제1호
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