| A集的局部化 |
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| 引用本文： | 王德胜,马合成.A集的局部化[J].四川师范大学学报(自然科学版),1993(3). |
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| 作者姓名： | 王德胜 马合成 |
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| 作者单位： | 山东师范大学，山东师范大学 山东省济南市 250014，山东省济南市 250014 |
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| 摘 要： | 本文在 A 集范畴 Ens-A 中引入局部化的概念.证明了如果 A 集 M 是内射(右投射、平坦),则其局部化后得到 S~(-1) A 集 S~(-1) M 也是内射(右投射、平坦),并由此推出如果交换幺半群 A 是完全内射(完全投射,绝对平坦)的.则半群局部化 S~(-1) A 亦分别具有上述性质.同时本文证明了对于 A 集 M 和 N,及 A 的子半群 S(S 满足条件:■_(S1,S2) ∈S,存在■ y ∈A,使得 ys_1=ys_2 ∈S)有 S~(-1) A 同构:S~(-1) (M■ N)≌S~(-1) M■S~(-1) N.
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| 关 键 词： | 局部化 张量积 (完全)内射 (完全)投射 (绝对)平坦 |
THE LOCALIZATION OF A-SETS |
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| Wang Desheng Ma Hecheng.THE LOCALIZATION OF A-SETS[J].Journal of Sichuan Normal University(Natural Science),1993(3). |
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| Authors: | Wang Desheng Ma Hecheng |
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| Abstract: | In this paper we introduce the concept of localization in the category Ens-A of A-sets and prove that if an A-
set M is right injective(right projective,flat),then the localization of M is a right injective(right projective,flat)
S~(-1) A-set;and then we prove that if a monoid A is completely injective(projective),absolutely flat,then so is the
localization S~(-1) A.At the end of the paper we discusse the relationship between the localization and tensor product
of A-sets. |
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| Keywords: | localization tensor product (completely)injective (completely)projective (absolutely)flat |
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