V. N. Bezverkhnii, A. E. Ustyan, “On the Artin semigroups”, Fundam. Prikl. Mat., 2019, Volume 22, Issue 4,Pages <nobr>39

On the Artin semigroups

V. N. Bezverkhnii^a, A. E. Ustyan^b

^a Civil Defence Academy EMERCOM of Russia, Moscow, Russia
^b Tula State Lev Tolstoy Pedagogical University, Tula, Russia

Abstract: This paper introduces the concept of the Artin semigroup of a large (extra large) type. We prove their injective embedding in the corresponding Artin groups of large (extra large) type and the solvability of the word conjugacy problem in this class of semigroups.

UDC: 519.14