The Arithmetic of Generalization for General Products of Monoids

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 ⊕B δ ψ B ⊕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.