In this paper we find a relationship between r2(S) and r2(S⁄ρ) where S is a finite semigroup, ρis a congruence on S and S /ρis the quotient semigroup (/S/ ≥ 2and/ S⁄ρ/ ≥ 2). We also determine r5(S⁄ρ) under certain conditions. Moreover we find prime subsets of S/ρ.
| Published in | Pure and Applied Mathematics Journal (Volume 4, Issue 1) |
| DOI | 10.11648/j.pamj.20150401.13 |
| Page(s) | 24-25 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2015. Published by Science Publishing Group |
Rank, Prime Subset, Congruence, Independent Set
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APA Style
Melis Minisker. (2015). Certain Ranks of the Quotient Semigroup S/ρ and Prime Subsets of a Semigroup. Pure and Applied Mathematics Journal, 4(1), 24-25. https://doi.org/10.11648/j.pamj.20150401.13
ACS Style
Melis Minisker. Certain Ranks of the Quotient Semigroup S/ρ and Prime Subsets of a Semigroup. Pure Appl. Math. J. 2015, 4(1), 24-25. doi: 10.11648/j.pamj.20150401.13
AMA Style
Melis Minisker. Certain Ranks of the Quotient Semigroup S/ρ and Prime Subsets of a Semigroup. Pure Appl Math J. 2015;4(1):24-25. doi: 10.11648/j.pamj.20150401.13
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Download@article{10.11648/j.pamj.20150401.13,
author = {Melis Minisker},
title = {Certain Ranks of the Quotient Semigroup S/ρ and Prime Subsets of a Semigroup},
journal = {Pure and Applied Mathematics Journal},
volume = {4},
number = {1},
pages = {24-25},
doi = {10.11648/j.pamj.20150401.13},
url = {https://doi.org/10.11648/j.pamj.20150401.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20150401.13},
abstract = {In this paper we find a relationship between r2(S) and r2(S⁄ρ) where S is a finite semigroup, ρis a congruence on S and S /ρis the quotient semigroup (/S/ ≥ 2and/ S⁄ρ/ ≥ 2). We also determine r5(S⁄ρ) under certain conditions. Moreover we find prime subsets of S/ρ.},
year = {2015}
}
TY - JOUR T1 - Certain Ranks of the Quotient Semigroup S/ρ and Prime Subsets of a Semigroup AU - Melis Minisker Y1 - 2015/02/01 PY - 2015 N1 - https://doi.org/10.11648/j.pamj.20150401.13 DO - 10.11648/j.pamj.20150401.13 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 24 EP - 25 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.20150401.13 AB - In this paper we find a relationship between r2(S) and r2(S⁄ρ) where S is a finite semigroup, ρis a congruence on S and S /ρis the quotient semigroup (/S/ ≥ 2and/ S⁄ρ/ ≥ 2). We also determine r5(S⁄ρ) under certain conditions. Moreover we find prime subsets of S/ρ. VL - 4 IS - 1 ER -
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