The Arithmetic of Generalization for General Products of Monoids

Suha Wazzan

Type: Article

Publication Date: 2021-03-30

Citations: 1

DOI: https://doi.org/10.26713/cma.v12i1.1412

Abstract

For $A$ and $B$ arbitrary monoids. In a recent work, Cevik et al. (Hacettepe Journal of Mathematics and Statistics 50(1) (2021), 224 - 234) defined new consequence of the general product denoted by $A^{\oplus B}_{\delta}\bowtie _{\psi }B^{\oplus A}$ and gave a presentation for this generalization. In this paper, we explore the way in which the structure of the generalization of general product reflects the properties of its associated wreath products.

Locations

Communications in Mathematics and Applications - View - PDF

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Works That Cite This (0)

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Works Cited by This (10)

Action	Title	Year	Authors
+	Presentations of General Products of Monoids	1998	T. G. Lavers
+	Zappa–Szép products of bands and groups	2008	N. D. Gilbert Suha Wazzan
+	Constructions and presentations for monoids	1994	John Howie Nik Ruškuc
+	Semigroups and ordered categories. I. The reduced case	1991	Mark V. Lawson
+ PDF Chat	A correspondence between a class of monoids and self-similar group actions II	2015	Mark V. Lawson Alistair R. Wallis
+	Proper two-sided restriction semigroups and partial actions	2011	Claire Cornock Victoria Gould
+	A correspondence between a class of monoids and self-similar group actions I	2008	Mark V. Lawson
+ PDF Chat	Some algebraic structures on the generalization general products of monoids and semigroups	2020	Suha Wazzan A. Sinan Çevik Fırat Ateş
+	Zappa products	1983	Michael Kunze
+	Inverse Semigroups	1998	Mark V. Lawson