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Abel加半群局部化及性质
引用本文:李师正.Abel加半群局部化及性质[J].山东师范大学学报(自然科学版),1989(4).
作者姓名:李师正
作者单位:山东师大数学系
摘    要:本文将Abel加半群引入一种局部化方法,建立了局部化与张量积的关系,证明了平坦半群的局部化也平坦,并证明局部化函子是正合的共变函子且自然等价于一个单侧张量积函子.

关 键 词:Abel加半群  局部化  张量积  平坦性  共变函子  自然等价

LOCALIZATION OF ABELIAN ADDITION SEMIGROUPS AND ITS PROPERTIES
Li Shizheng.LOCALIZATION OF ABELIAN ADDITION SEMIGROUPS AND ITS PROPERTIES[J].Journal of Shandong Normal University(Natural Science),1989(4).
Authors:Li Shizheng
Institution:Department of Mathematics
Abstract:This paper introduces a method of localization of Abclian addition semigroups, considers the relation between the localization and the tensor product and proves that the localization of flat semigroup is also flat. This paper proves also the localization functor is exact covariant which is naturally equivalent to an one-sided tensor product functor.
Keywords:: Abelian addition semigroups  localization  tensor product  flatness  covariant funtor  natural equivalence
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