兰州理工大学学报

兰州理工大学学报 ›› 2022, Vol. 48 ›› Issue (5): 161-165.

• 数理科学 • 上一篇    下一篇

半环同态的若干性质

邵海琴*, 梁茂林, 董芳芳   

  1. 天水师范学院 数学与统计学院, 甘肃 天水 741001
  • 收稿日期:2021-11-15 出版日期:2022-10-28 发布日期:2022-11-21
  • 通讯作者: 邵海琴(1971-),女,甘肃天水人,副教授. Email:shaohq12@163.com
  • 基金资助:
    国家自然科学基金(11961057)

Some properties of semiring homomorphisms

SHAO Hai-qin, LIANG Mao-lin, DONG Fang-fang   

  1. School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, China
  • Received:2021-11-15 Online:2022-10-28 Published:2022-11-21

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摘要： 引入了理想软子半环和两个理想软子半环软相等的概念. 利用半环上的理想软半环、完全理想软半环、平凡理想软半环和理想软子半环以及两个理想软半环的$\widetilde{\sqcap}$、$\widetilde{∪}$和$\widetilde{∧}$运算, 对半环同态进行了研究, 得到了半环同态、半环满同态和半环单同态的一些重要性质.

关键词: 理想软半环, 理想软子半环, 软相等, 半环同态

Abstract: The notions of idealistic soft subsemirings and soft equality on two idealistic soft subsemirings are introduced. Semiring homomorphisms is studied by using idealistic soft semirings, full idealistic softsemirings, trivial idealistic soft semirings and idealistic soft subsemirings over a semiring as well as $\widetilde{\sqcap}$、$\widetilde{∪}$ and $\widetilde{∧}$ operations of idealistic soft semirings. Some important properties of semiring homomorphisms, semiring full homomorphism and semiring simple homomorphism are obtained.

Key words: idealistic soft semirings, idealistic soft subsemiring, soft equality, semiring homomorphisms

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