Criteria for Invertibility of Elements in Associates
Abstract
We continue the investigation of invertible elements in associates, i.e., in (n + 1)-ary groupoids that are (i, j)-associative for all i ≡ j (mod s), where s is a divisor of a number n. For s = 1, an arbitrary associate is a semigroup. We establish two new criteria for the invertibility of elements, which generalize the results obtained earlier, and formulate corollaries for (n + 1)-groups and polyagroups, i.e., quasigroup associates.Downloads
Published
25.11.2001
Issue
Section
Research articles
How to Cite
Yurevych О. V. “Criteria for Invertibility of Elements in Associates”. Ukrains’kyi Matematychnyi Zhurnal, vol. 53, no. 11, Nov. 2001, pp. 1556-63, https://umj.imath.kiev.ua/index.php/umj/article/view/4375.