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Aydoğdu, P., Díaz Bolls, J., López-Permouth, S.R. and Muhammad, R.A. (2022) Two Value Graph Magma Algebras and Amenabilityx. In: Springer Proceedings in Mathematics & Statistics, Springer, 383-400.
https://doi.org/10.1007/978-981-19-3898-6_30

has been cited by the following article:

• TITLE: Generator Sets for the Magma Monoid

  AUTHORS: Isaac Owusu-Mensah

  KEYWORDS: Generator Sets, Magma Monoids, Binary Operations, Semigroup, Monogenic Semigroups, Periodic Semigroups, Idempotents

  JOURNAL NAME: Advances in Pure Mathematics, Vol.16 No.1, January 8, 2026

  ABSTRACT: This paper explores the algebraic structures of the magma monoid ( ℳ( S ),⊲ ) , where ℳ( S ) comprises all binary operations on S . We investigate the order and generator set of elements characterizing idempotents, almost constant operations, and units, which facilitates our analysis. A procedure for finding inverses of units is presented, along with key results on almost constant operations. Focusing on | S |=2 and | S |=3 , we classify the elements into various categories, determine their orders, and identify generating sets for the magma monoid. The findings inform a concise methodology for identifying the generator sets of an arbitrary element ∗∈ℳ( S ) .