| 谢祥云,翟孟丽.Γ-超半群的(m,n)超理想[J].井冈山大学自然版,2016,(2):1-5 |
| Γ-超半群的(m,n)超理想 |
| ON (m,n) HYPERDEALS IN-HYPERSEMIGROUPS |
| 投稿时间：2015-11-06 修订日期：2015-12-03 |
| DOI：10.3969/j.issn.1674-8085.2016.02.001 |
| 中文关键词: Γ-超半群 (m,n)超理想 (m,n)单Γ-超半群 (m,n)正则Γ-超半群 |
| 英文关键词: Γ-hypersemigroup (m,n)-hyperideal (m,n)-simple -hypersemigroup (m,n)regular Γ-hypersemigroup |
| 基金项目:国家自然科学基金项目(11361027,11271040);广东省自然科学基金项目(2014A030313625);广东省教育厅省级重大项目(自然科学类)
(2014KZDXM055) |
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| 摘要点击次数: 1975 |
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| 中文摘要: |
| 首先引入Γ-超半群的(m,n)超理想的概念,给出了Γ-超半群的(m,n)超理想的刻画和(m,n)超理想的生成表示,并利用(m,n)超理想给出(m,n)单Γ-超半群和(m,n)正则Γ-超半群的刻画。利用本文的结果,当Γ只有一个元素且超运算是一般的二元运算时,半群的(m,n)理想以及利用(m,n)理想对正则半群的刻画可以相应得出。 |
| 英文摘要: |
| Firstly, we introduce the concept of (m,n) hyperideals of Γ-hypersemigroups, the characterizations of (m,n) hyperideals of Γ-hypersemigroups and the generalized theorem of (m,n) hyperideals is obtained by every nonempty set of Γ-hypersemigroups. Secondly, the characterizations of (m,n) simple Γ-hypersemigroups, and (m,n) regular Γ-hypersemigroups are given by (m,n) hyperideals. Finally, some characterizations of regular semigroups are obtained in terms of (m,n) ideals. |
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