アクセス数 : 1368 件
ダウンロード数 : 66 件
この文献の参照には次のURLをご利用ください : https://ir.lib.shimane-u.ac.jp/523
島根大学理学部紀要 Volume 17
published_at 1983-12-25
一般化された逆半群における特殊対合について
Note on Special Involutions in a Generalized Inverse Semigroup
Yamada Miyuki
full_text_file
c0010017r001.pdf
( 1.29 MB )
Descriptions
A unary operation * : S→S on a semigroup S is called a special involution if it satisfies (1) (x^*)^*=x, (2) (xy)^*=y^*x^* and (3) xx^*x=x for all x, y∈S. It has been shown by [5] that every special involution in a regular semigroup S is determined by the p-system in S. In this paper, we shall determine all the p-systems in a generalized inverse semigroup S, and accordiugly all the special involutions in S. Further, we shall investigate the cardinality of the set of p-systems in S.
About This Article
Pages
Other Article