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有局部单位半群上循环系的投射覆盖

On Projective Covers of Cyclic Acts over Semigroups with Local Units
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摘要 设S是有局部单位半群.借助S-系同余给出了投射循环酉S-系的新刻画,并刻画了循环酉S-系有投射覆盖的有局部单位半群的特征,推广了幺半群上投射覆盖的相关结果. Let S be semigroups with local units.In the paper,some new characterizations of projective and unitary cyclic S-acts are given by using S-act congruences,semigroups S with local units over which a cyclic S-act has a projective cover are characterized.Furthermore,many known results about projective covers of cyclic acts over monoids are generalized.
作者 杨文杰 梁星亮 卫柏岩 YANG Wen-jie;LIANG Xing-liang;WEI Bai-yan(School of Mathematics and Data Science,Shaanxi University of Science and Technology,Xi'an 710021,China;School of Mathematics,Northwest University,Xi'an 710127,China)
机构地区 陕西科技大学数学与数据科学学院 西北大学数学学院
出处 《数学的实践与认识》 2022年第12期212-216,共5页 Mathematics in Practice and Theory
基金 国家自然科学基金(12001345) 中国博士后科学基金面上项目(2020M673618XB) 陕西省教育厅研究项目(18JK0087)。
关键词 S-系 有局部单位半群 同余 投射覆盖 s-act semigroups with local units congruence projective cover
分类号 O152.7 [理学—基础数学]
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