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초록· 키워드
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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.
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참고문헌 (8)
참고문헌 신청
E. Pardo / 1996 / Comparability, separativity, and exchange rings / Comm. Algebra 24 (9) : 2915 ~ 2929
F. Wehrung / 1994 / Restricted injectivity, transfer property and decompositions of separative positively ordered monoids / Comm. Algebra 22 (5) : 1747 ~ 1781
G. Brookfield / 1997 / Monoids and Categories of Noetherian Modules / 박사 / University of California
K. R. Goodearl / 1979 / Von Neumann Regular Rings, Monographs and Studies in Mathematics / Pitman (Advanced Publishing Program) : 4 ~
K. R. Goodearl / 1995 / Von Neumann regular rings and direct sum decomposition problems / Abelian groups and modules (Padova, 1994) : 249 ~ 255
F. Wehrung / 1994 / Restricted injectivity, transfer property and decompositions of separative positively ordered monoids / Comm. Algebra 22 (5) : 1747 ~ 1781
G. Brookfield / 1997 / Monoids and Categories of Noetherian Modules / 박사 / University of California
K. R. Goodearl / 1979 / Von Neumann Regular Rings, Monographs and Studies in Mathematics / Pitman (Advanced Publishing Program) : 4 ~
K. R. Goodearl / 1995 / Von Neumann regular rings and direct sum decomposition problems / Abelian groups and modules (Padova, 1994) : 249 ~ 255
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