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On Classification of Semigroup N by Green’s Theorem

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  • Suha Wazzan
  • Nurten Urlu Ozalan
  • Kenan Yildirim

Abstract

In previous papers, it has been recently defined a new class of semigroups based on both Rees matrix and completely 0-simple semigroups. For this new structure, it has been introduced with certain basic properties and finiteness conditions. The main goal of the paper is to prove Green’s Theorem for N by indicating the existence of Green’s lemma. We also study generalized Green’s relation over N and present some new findings. In particular, we classify our semigroup N associated with generalized Green’s relation by constructing good homomorphism.

Suggested Citation

  • Suha Wazzan & Nurten Urlu Ozalan & Kenan Yildirim, 2022. "On Classification of Semigroup N by Green’s Theorem," Journal of Mathematics, Hindawi, vol. 2022, pages 1-7, June.
    • Handle: RePEc:hin:jjmath:9193446
    DOI: 10.1155/2022/9193446
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