| N(2,2,0)代数的E-反演半群 |
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| 引用本文： | 邓方安. N(2,2,0)代数的E-反演半群[J]. 数学杂志, 2014, 34(5): 976-984 |
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| 作者姓名： | 邓方安 |
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| 作者单位： | 陕西理工学院数学与计算机科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(81160183) |
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| 摘 要： | 本文研究了N(2,2,0)代数(S,*,△,0)的E-反演半群.利用N(2,2,0)代数的幂等元,弱逆元,中间单位元的性质和同宇关系,得到了N(2,2,0)代数的半群(S,*)构成E-反演半群的条件及元素α的右伴随非零零因子唯一,且为α的弱逆元等结论,这些结果进一步刻画了N(2,2,0)代数的结构.
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| 关 键 词： | N( )代数 E-反演半群 弱逆元 中间单位元 非零零因子 |
| 收稿时间： | 2013-05-02 |
| 修稿时间： | 2013-05-29 |
E-INVERSIVE SEMIGROUPS OF N(2,2,0) ALGEBRA |
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| DENG Fang-an. E-INVERSIVE SEMIGROUPS OF N(2,2,0) ALGEBRA[J]. Journal of Mathematics, 2014, 34(5): 976-984 |
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| Authors: | DENG Fang-an |
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| Affiliation: | School of Mathematics and Computer Science, Shaanxi University of Technology, Hanzhong 723001, China |
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| Abstract: | We study E-inversive semigroups of N(S, ∗, δ, 0) on N(2, 2, 2, 0) algebra. Using the properties of idempotents element, weak inverse element and middle unit, and congruence relations, we obtain the following results:if the idempotents set of N(2, 2, 0) algebra is nonempty, then its two dual semigroups (S, ∗) and (S, ∆) of N(2, 2, 0) algebra are E-inversive semigroups. Moreover, right adjoint non-zero divisor of element a on semigroup (S, ∗) of N(2, 2, 0) algebra is unique and is weak inverse of a. Some other conclusions are also discussed, which further characterize structure of N(2, 2, 0) algebra. |
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| Keywords: | N(2, 2, 0) algebra E-inversive semigroup weak inverses element middle unit non-zero divisor |
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