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This paper adopts the notations and some of the definitions in [11], here, we give a very good and simple example of a quasi-idempotent element of the transformation T_nfor n=2 and prove that there are idempotent elements in the quasi-idempotent generated semigroup and that |E(S)|≥2
Keywords:
Full transformation semigroup, Order-preserving, Idempotent element, Quasi-idempotent element.
Cite Article:
"ON IDEMPOTENT ELEMENTS IN QUASI-IDEMPOTENT GENERATED SEMIGROUP", International Journal of Science & Engineering Development Research (www.ijrti.org), ISSN:2455-2631, Vol.8, Issue 11, page no.52 - 55, November-2023, Available :http://www.ijrti.org/papers/IJRTI2311008.pdf
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ISSN:
2456-3315 | IMPACT FACTOR: 8.14 Calculated By Google Scholar| ESTD YEAR: 2016
An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 8.14 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator