The Arithmetic of Generalization for General Products of Monoids

Suha A. Wazzan

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.


Keywords


Product; Wreath product; Green's relations; Generalized Green's relations; Congruence; Transitive

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DOI: http://dx.doi.org/10.26713%2Fcma.v12i1.1412

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