| 半环同态的若干性质 |
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| 引用本文： | 邵海琴,梁茂林,董芳芳.半环同态的若干性质[J].兰州理工大学学报,2022,48(5):161. |
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| 作者姓名： | 邵海琴 梁茂林 董芳芳 |
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| 作者单位： | 天水师范学院 数学与统计学院, 甘肃 天水 741001 |
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| 基金项目： | 国家自然科学基金(11961057) |
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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.
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| 关 键 词： | 理想软半环 理想软子半环 软相等 半环同态 |
| 收稿时间： | 2021-11-15 |
Some properties of semiring homomorphisms |
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| SHAO Hai-qin,LIANG Mao-lin,DONG Fang-fang.Some properties of semiring homomorphisms[J].Journal of Lanzhou University of Technology,2022,48(5):161. |
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| Authors: | SHAO Hai-qin LIANG Mao-lin DONG Fang-fang |
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| Institution: | School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, China |
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| 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. |
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| Keywords: | idealistic soft semirings idealistic soft subsemiring soft equality semiring homomorphisms |
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