Congruences on Orthodox Semirings Whose Additive Idempotents Satisfy Permutation Identities  

作　　者：Shiju PAN Yuanlan ZHOU Ziqiang CHENG 

机构地区：[1]Department of Mathematics, Jiangxi Normal University

出　　处：《Journal of Mathematical Research with Applications》2013年第5期569-577,共9页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant Nos.10961014;11101354);the Natural Science Foundation of Jiangxi Province;the Science Foundation of the Education Department of Jiangxi Province

摘　　要：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.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.

关 键 词：inverse semiring congruence band semiring. 

分 类 号：O153.3[理学—数学]