Pseudocomplements in groupoids

Journal of the Australian Mathematical Society

K. Nirmala Kumari Amma¹ 

关键词: primary 20 L 99;    20 M 99;    secondary 06 A 40;   

DOI  :  10.1017/S1446788700011708

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

This paper is devoted to a study of pseudocomplements in groupoids. A characterization of an intraregular groupoid is obtained in terms of prime ideals. It is proved that the set of dense elements of an intraregular groupoid S with 0 is the intersection of all the maximal filters of S and that the set of normal elements of an intraregular groupoid closed for pseudocomplements forms a Boolean algebra under natural operations. It is shown that the pseudocomplement of an ideal of an intraregular groupoid with 0 is the intersection of all the minimal prime ideas not containing it.

【 授权许可】

Unknown