V. Izbash, N. Labo, “Crossed-inverse-property groupoids”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2007, Number 2,Pages <nobr>101

Crossed-inverse-property groupoids

V. Izbash^a, N. Labo^b

^a Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chişinău, Moldova
^b Baltsy State University, Baltsy, Moldova

Abstract: The (right, left) crossed-inverse-property in groupoids is investigated. It is shown that the class of all crossed-inverse-property groupoids is a variety of quasigroups. Some properties of the right-crossed-property groupoids are established.

Keywords and phrases: CI-groupoid, quasigroup, variety.

MSC: 20N05,20N15

Received: 25.06.2007

Language: English