吴亚楠, 任苗苗. 半环上的准素同余和同余的准素分解[J]. 云南大学学报(自然科学版), 2020, 42(2): 201-206. doi: 10.7540/j.ynu.20190262
引用本文: 吴亚楠, 任苗苗. 半环上的准素同余和同余的准素分解[J]. 云南大学学报(自然科学版), 2020, 42(2): 201-206. doi: 10.7540/j.ynu.20190262
WU Ya-nan, REN Miao-miao. The primary congruence and the primary decomposition of congruence on semirings[J]. Journal of Yunnan University: Natural Sciences Edition, 2020, 42(2): 201-206. DOI: 10.7540/j.ynu.20190262
Citation: WU Ya-nan, REN Miao-miao. The primary congruence and the primary decomposition of congruence on semirings[J]. Journal of Yunnan University: Natural Sciences Edition, 2020, 42(2): 201-206. DOI: 10.7540/j.ynu.20190262

半环上的准素同余和同余的准素分解

The primary congruence and the primary decomposition of congruence on semirings

  • 摘要: 主要研究了可换加法幂等元半环上的准素同余,给出了ρ-准素同余的定义,得出了它们结构的一些结果. 在此基础上,通过研究极小准素分解,得到唯一性定理.

     

    Abstract: We study primary congruences on commutative idempotent semirings, givedefinition of ρ-congruence, and obtain some results of their structures. On this basis, the uniqueness theorem is obtained by studying the minimal primary congruence decomposition.

     

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