The Arithmetic of Generalization for General Products of Monoids

Authors

  • Suha A. Wazzan Department of Mathematics, KAU King Abdulaziz University, Science Faculty, 21589, Jeddah

DOI:

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

Keywords:

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

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.

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Published

31-03-2021
CITATION

How to Cite

Wazzan, S. A. (2021). The Arithmetic of Generalization for General Products of Monoids. Communications in Mathematics and Applications, 12(1), 1–10. https://doi.org/10.26713/cma.v12i1.1412

Issue

Vol. 12 No. 1 (2021)

Section

Research Article

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