The Arithmetic of Generalization for General Products of Monoids

Suha A. Wazzan


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.


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

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