New Properties over a New Type of Wreath Products on Monoids  

作　　者：Suha Ahmed Wazzan 

机构地区：[1]Department of Mathematics, Science Faculty, King Abdulaziz University, Jeddah, Saudia Arabia

出　　处：《Advances in Pure Mathematics》2019年第8期629-636,共8页理论数学进展（英文）

摘　　要：In [1], a new consequence of the (restricted) wreath product for arbitrary monoids A and B with an underlying set . Let us denote it by . Actually, in the same reference, it has been also defined the generating and relator sets for , and then proved some finite and infinite cases about it. In this paper, by considering the product, we show Green’s relations L and R as well as we present the conditions for this product to be left cancellative, orthodox and finally left (right) inverse(s).In [1], a new consequence of the (restricted) wreath product for arbitrary monoids A and B with an underlying set . Let us denote it by . Actually, in the same reference, it has been also defined the generating and relator sets for , and then proved some finite and infinite cases about it. In this paper, by considering the product, we show Green’s relations L and R as well as we present the conditions for this product to be left cancellative, orthodox and finally left (right) inverse(s).

关 键 词：Wreath Product Green’s RELATIONS LEFT Cancellative MONOIDS ORTHODOX MONOIDS LEFT (Right) Inverse 

分 类 号：O1[理学—数学]