All Maximal Completely Regular Submonoids of HypG(2)

Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2017, Vol 37, Issue 1

Abstract

In this paper we consider mappings σ which map the binary operation symbol f to the term σ(f) which do not necessarily preserve the arity. These mapping are called generalized hypersubstitutions of type τ = (2) and we denote the set of all these generalized hypersubstitutions of type τ = (2) by HypG(2). The set HypG(2) together with a binary operation defined on this set and the identity generalized hypersubstitution which maps f to the term f(x1, x2) forms a monoid. In this paper, we determine all maximal completely regular submonoids of this monoid.

Authors and Affiliations

Pornpimol Kunama, Sorasak Leeratanavalee

Keywords

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  • EP ID EP394545
  • DOI 10.7151/dmgaa.1263
  • Views 42
  • Downloads 0

How To Cite

Pornpimol Kunama, Sorasak Leeratanavalee (2017). All Maximal Completely Regular Submonoids of HypG(2). Discussiones Mathematicae - General Algebra and Applications, 37(1), 105-114. https://europub.co.uk./articles/-A-394545