关于弱交换PO-半群中的一个问题  

ON A PROBLEM IN WEAKLY COMMUTATIVE PO-SEMIGROUPS

作　　者：景奉杰[1] 赵宪钟[1] 

机构地区：[1]武汉大学,西北大学

出　　处：《纯粹数学与应用数学》1994年第2期59-63,共5页Pure and Applied Mathematics

基　　金：国家自然科学基金

摘　　要：本文引入弱交换ｐｏ－半群的概念，研究这类半群到其Ａｒｃｈｉｍｅｄｅａｎ子半群的半格分解，得到了这类半群类似于具平凡序的弱交换半群的一个特征，由此在更一般的情形下回答了Ｋｅｈａｙｏｐｕｌｕ在［１］中提出的一个问题，并作为推论得到弱交换ｐｏｅ－半群和具平凡序的弱交换半群的已知结果．In this paper we intruduce the concept of weakly commutative po-semigroups, we initiate the Study of the scmilattice decompositions of this type of semigroups into their archimedean subsemigroups and give a characterization of such semigroups analogous to that of weakly commutative semigroups without order. As a result. a problem raised by Kehayopulu in [1] is answered in more general case, and the known results on weakly commutahve poe-semigroups and weakly commutativc senigroups without order are obtained.

关 键 词：弱交换PO半群 半群 弱交换半群 半格同余 

分 类 号：O152.7[理学—数学]