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International Journal for Research Trends and Innovation
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ISSN Approved Journal No: 2456-3315 | Impact factor: 8.14 | ESTD Year: 2016
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Impact Factor : 8.14
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| Paper Title: | INFINITE SEMIGROUPS WHOSE NUMBER OF INDEPENDENT ELEMENTS IS LARGER THAN THE BASIS |
| Authors Name: | Marshal Imeh Sampson |
| Download E-Certificate: | Download |
| Author Reg. ID: |
IJRTI_187741
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| Published Paper Id: | IJRTI2307145 |
| Published In: | Volume 8 Issue 7, July-2023 |
| DOI: | |
| Abstract: | We investigate a certain characterisation for rank of a semigroup by Howie and Ribeiro (1999), to ascertain the relevance of the concept of independence. There are cases where the concept of independence fails to be useful for this purpose. One would expect the basis element to be the maximal independent subset of a given semigroup. However, we construct examples for infinite, commutative and non-commutative semigroups, where there exists finite basis and the number of independent elements is larger than the basis. |
| Keywords: | Generating sets, Independent Sets, Rank, Cyclic Semigroup, Basis, Commutative Semigroup |
| Cite Article: | "INFINITE SEMIGROUPS WHOSE NUMBER OF INDEPENDENT ELEMENTS IS LARGER THAN THE BASIS", International Journal of Science & Engineering Development Research (www.ijrti.org), ISSN:2455-2631, Vol.8, Issue 7, page no.1001 - 1005, July-2023, Available :http://www.ijrti.org/papers/IJRTI2307145.pdf |
| Downloads: | 000205166 |
| 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 |
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Published Paper ID: IJRTI2307145
Registration ID:187741
Published In: Volume 8 Issue 7, July-2023
DOI (Digital Object Identifier):
Page No: 1001 - 1005 Country: Ikot Akpaden, Akwa Ibom State, Nigeria Research Area: Mathematics Publisher : IJ Publication Published Paper URL : https://www.ijrti.org/viewpaperforall?paper=IJRTI2307145 Published Paper PDF: https://www.ijrti.org/papers/IJRTI2307145 |
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ISSN: 2456-3315
Impact Factor: 8.14 and ISSN APPROVED,
Journal Starting Year (ESTD) : 2016
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