Criteria for Invertibility of Elements in Associates

• Datum: 2001
• Hauptverfasser: Yurevych, О. V., Юревич, О. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2001
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4375
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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,...