| 加法幂等元满足置换等式的纯整半环上的同余 |
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| 引用本文： | 潘是菊,周媛兰,程子强.加法幂等元满足置换等式的纯整半环上的同余[J].数学研究及应用,2013,33(5):569-577. |
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| 作者姓名： | 潘是菊 周媛兰 程子强 |
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| 作者单位： | 江西师范大学数信学院, 江西 南昌 330000;江西师范大学数信学院, 江西 南昌 330000;江西师范大学数信学院, 江西 南昌 330000 |
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| 基金项目： | 国家自然科学基金(Grant Nos.10961014; 11101354), 江西省自然科学基金, 江西省教育厅基金. |
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| 摘 要： | 广义逆半群上的同余早已开始研究.在这类半群的性质研究基础上,本文主要给出了加法幂等元满足置换等式的纯整半环上的同余刻画,并且给出了这类半环的同态像的一个结构定理.
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| 关 键 词： | 逆半环 同余 带半环. |
| 收稿时间： | 5/2/2012 12:00:00 AM |
| 修稿时间： | 9/3/2012 12:00:00 AM |
Congruences on Orthodox Semirings Whose Additive Idempotents Satisfy Permutation Identities |
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| Shiju PAN,Yuanlan ZHOU and Ziqiang CHENG.Congruences on Orthodox Semirings Whose Additive Idempotents Satisfy Permutation Identities[J].Journal of Mathematical Research with Applications,2013,33(5):569-577. |
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| Authors: | Shiju PAN Yuanlan ZHOU and Ziqiang CHENG |
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| Affiliation: | Department of Mathematics, Jiangxi Normal University, Jiangxi 330022, P. R. China;Department of Mathematics, Jiangxi Normal University, Jiangxi 330022, P. R. China;Department of Mathematics, Jiangxi Normal University, Jiangxi 330022, P. R. China |
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| Abstract: | The investigation of congruences on generalized inverse semigroups is initiated. Following some properties of such semigroups, the congruences on an orthodox semiring whose idempotents satisfy permutation identities are established. In addition, we give a structure theorem of homomorphic image of this kind of orthodox semirings. |
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| Keywords: | inverse semiring congruence band semiring |
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