Divisible Semiring Congruences on Distributive Semiring 被引量：2

分配半环上的可除半环同余(英文)

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摘要 In this paper, we describe all the divisible semiring congruences on a distributive semiring S and also establish a one_to_one, inclusion_preserving mapping from the set of full, closed, self_conjagate, ideal subsemirings of S to the set of all divisible semiring congruences on S.

作者李善海李师正

机构地区 DepartmentofMathematics

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第4期406-409,共4页 数学季刊（英文版）

关键词 SEMIRING divisible semiring distributive semiring semiring congruence divisible semiring congruence 可除半环同余式乘法迹单射

分类号 O153.3 [理学—基础数学]

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参考文献4

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同被引文献14

1孙永利,于建平,李师正,张玉芬.某些拟完全正则半环上的同余(英文)[J].北京大学学报（自然科学版）,2004,40(5):683-686. 被引量：5
2乔占科.一类广义正则半环上的半环同余的刻画[J].石油大学学报（自然科学版）,2004,28(6):126-128. 被引量：3
3欧启通,陈培慈.半环的星同余[J].青海师范大学学报（自然科学版）,2005,21(4):17-20. 被引量：7
4周媛兰,郭聿琦,王正攀.纯整环并半环上的同余对[J].中山大学学报（自然科学版）,2005,44(6):8-10. 被引量：1
5欧启通,黄福生,陈培慈.半环的星结构[J].纯粹数学与应用数学,2006,22(1):125-130. 被引量：9
6张伟,左黎明,王颂生,屈聪.双半环上的同余及其性质[J].华东交通大学学报,2006,23(1):150-152. 被引量：1
7乔占科.关于拟正则半环上可除半环同余的注记[J].数学的实践与认识,2006,36(8):342-344. 被引量：2
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引证文献2

1徐慧,冯军庆.一类半环的skew-环同余的刻画[J].纺织高校基础科学学报,2008,21(1):14-16. 被引量：2
2欧启通.差半环的结构[J].西南师范大学学报（自然科学版）,2010,35(5):9-13. 被引量：1

二级引证文献3

1冯军庆,徐慧.一类幂等元半环的结构[J].纺织高校基础科学学报,2008,21(2):140-143.
2徐慧,金英姬.拟正则半环上的skew-环同余[J].西安工程大学学报,2010,24(1):114-117.
3张源野,谭宜家.形式三角矩阵半环的自同构与反自同构[J].西南大学学报（自然科学版）,2021,43(12):67-73. 被引量：1

1CHENG Zi-qiang ZHOU Yuan-lan PAN Shi-ju.Rectangular Ring Congruences on an E-inversive Semiring[J].Chinese Quarterly Journal of Mathematics,2014,29(4):529-538.
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3谢蓓蓓.可除半环的伪理想与同余[J].高等数学研究,2005,8(6):60-61.
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7LI Shi-zheng,LI Shan-hai,YU Xiao-ming (Department of Mathematics, Shandong Normal University, Shandong 250014,China).The Least Distributive Lattice Congruence on Commutative Distributive Semiring[J].Chinese Quarterly Journal of Mathematics,2003,18(1):35-43. 被引量：7
8Shiju PAN,Yuanlan ZHOU,Ziqiang CHENG.Congruences on Orthodox Semirings Whose Additive Idempotents Satisfy Permutation Identities[J].Journal of Mathematical Research with Applications,2013,33(5):569-577.
9Qing Lin LU Zheng Ke MIAO.Congruences for a Restricted m-ary Overpartition Function[J].Journal of Mathematical Research and Exposition,2010,30(5):939-943.
10Refik KESKIN DEMiRTURK BITIM.Fibonacci and Lucas Congruences and Their Applications[J].Acta Mathematica Sinica,English Series,2011,27(4):725-736.

Chinese Quarterly Journal of Mathematics

2003年第4期

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Divisible Semiring Congruences on Distributive Semiring 被引量：2

参考文献4

同被引文献14

引证文献2

二级引证文献3

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