TY - JOUR
AU - Hakobyan, T.A.
PY - 2016/10/26
Y2 - 2024/07/14
TI - TRANSITIVE HYPERIDENTITY IN SEMIGROUPS
JF - Proceedings of the YSU A: Physical and Mathematical Sciences
JA - Proc. YSU A: Phys. Math. Sci.
VL - 50
IS - 3 (241)
SE - Mathematics
DO - 10.46991/PYSU:A/2016.50.3.052
UR - https://journals.ysu.am/index.php/proceedings-phys-math/article/view/vol50_no3_2016_pp052-055
SP - 52-55
AB - <p>In this paper we characterize all semigroups in which the hyperidentity of transitivity $X(X(x, y), X(y, z)) = X(x, z) $ is polynomially satisfied. In particular, we show that every transitive semigroup (that is a semigroup with the identity $xy^2z = xz$ ) is also hypertransitive.</p>
ER -