| A Generalization of Regular Left Acts |
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| 作者单位： | Liu Zhongkui (Department of Mathematics，Northwest Normal University，Lanzhou，730070) J. Ahsan (Department of Mathematical Sciences，King Fahd Uniuersity of Petroleum and Minerals，Dhahran 31261，Saudi Arabia) |
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| 摘 要： | ＡＧｅｎｅｒａｌｉｚａｔｉｏｎｏｆＲｅｇｕｌａｒＬｅｆｔＡｃｔｓ＊）ＬｉｕＺｈｏｎｇｋｕｉ（刘仲奎）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＮｏｒｔｈｗｅｓｔＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｌａｎｚｈｏｕ，７３００７０）Ｊ．Ａｈｓａｎ（Ｄ...
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A Generalization of Regular Left Acts |
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| Authors: | Liu Zhongkui |
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| Abstract: | Let S be a monoid. This paper is devoted to introduce and inverstigate a common generalization of regular left S acts and PSF monoids. We say that a left S act A is a CSF act if all cyclic subacts of A are strongly flat. It is shown that the CSF left acts form a new class of left S acts between regular left acts and left acts satisfying condition (E). The paper also takes CSF property as a clue for homological classification of monoids. |
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| Keywords: | Regular Left Act CSF Left Act PSF Monoids Left Zero Semigroup |
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