Free products of $n$-tuple semigroups

• Date: 2018
• Main Authors: Zhuchok, A. V., Koppitz, J., Жучок, А. В., Коппіц, Й.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2018
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1652
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We construct a free product of arbitrary n-tuple semigroups, introduce the notion of $n$-band of $n$-tuple semigroups and, in terms of this notion, describe the structure of the free product. We also construct a free commutative $n$-tuple semigroup of an arbitrary rank and characterize one-generated...