| 关于非交换幺半群的局部化 |
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| 引用本文： | 许新斋. 关于非交换幺半群的局部化[J]. 山东师范大学学报(自然科学版), 1990, 5(2): 11-16 |
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| 作者姓名： | 许新斋 |
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| 作者单位： | 山东师大数学系 |
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| 摘 要： | 局部化是交换代数中的一个重要工具,[1]中将局部化推广到交换幺半群中。本文将局部化又进一步推广到非交换幺半群中,证明了非交换幺半群在它的中心子幺半群的局部化的存在唯一性,并讨论了非交换幺半群的局部化的若干性质。
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| 关 键 词： | 幺半群 局部化 右理想 半群 |
ON THE LOCALIZATION OF NON-COMMUTATIVE MONOIDS |
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| Xu Xinzhai. ON THE LOCALIZATION OF NON-COMMUTATIVE MONOIDS[J]. Journal of Shandong Normal University(Natural Science), 1990, 5(2): 11-16 |
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| Authors: | Xu Xinzhai |
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| Affiliation: | Department of Mathematics |
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| Abstract: | The localization is an important tool in commutative algebra. The localization has been generalized to commutative monoids in [1]. This paper further generalizes the localization to non-commutative monoids, and it also proves the existence and uniqueness of localization of non-commutative monoids at its any central submonold and discusses a lot of properties of localizations of non commutative monoids. |
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| Keywords: | monoid localization right(left)ideal right(left) simple semigroup |
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