New results over Zappa-Szép products via a recent semigroup

Year 2024, , 1238 - 1249, 15.10.2024

Nurten Urlu Özalan

https://doi.org/10.15672/hujms.1085952

Abstract

In [16], the authors established a new semigroup ${\mathcal N}$ as an extension of both the Rees matrix and completely zero-simple semigroups. In this paper, by taking into account the Zappa-Szép product obtained by special subsemigroups of ${\mathcal N}$, we will expose some new distinguishing theoretical results on this product.

Keywords

Zappa-Szép products, Rees matrix semigroup, completely 0-simple semigroup, Green relations

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