Ranks of nilpotent subsemigroups of order-preserving and decreasing transformation semigroups
Yıl: 2021 Cilt: 45 Sayı: 4 Sayfa Aralığı: 1626 - 1634 Metin Dili: İngilizce DOI: 10.3906/mat-2008-19 İndeks Tarihi: 30-06-2022
Ranks of nilpotent subsemigroups of order-preserving and decreasing transformation semigroups
Öz: Let Cn be the semigroup of all order-preserving and decreasing transformations on X = {1, . . . , n} under its
natural order, and let N(Cn) be the subsemigroup of all nilpotent elements of Cn . For 1 ≤ r ≤ n − 1, let
N(Cn,r) = {α ∈ N(Cn) : |im (α)| ≤ r},
Nr(Cn) = {α ∈ N(Cn) : α is an m-potent for any 1 ≤ m ≤ r}.
In this paper we find the cardinality and the rank of the subsemigroup N(Cn,r) of Cn . Moreover, we show that the set
Nr(Cn) is a subsemigroup of N(Cn) and then, we find a lower bound for the rank of Nr(Cn) .
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | korkmaz e, AYIK H (2021). Ranks of nilpotent subsemigroups of order-preserving and decreasing transformation semigroups. , 1626 - 1634. 10.3906/mat-2008-19 |
| Chicago | korkmaz emrah,AYIK Hayrullah Ranks of nilpotent subsemigroups of order-preserving and decreasing transformation semigroups. (2021): 1626 - 1634. 10.3906/mat-2008-19 |
| MLA | korkmaz emrah,AYIK Hayrullah Ranks of nilpotent subsemigroups of order-preserving and decreasing transformation semigroups. , 2021, ss.1626 - 1634. 10.3906/mat-2008-19 |
| AMA | korkmaz e,AYIK H Ranks of nilpotent subsemigroups of order-preserving and decreasing transformation semigroups. . 2021; 1626 - 1634. 10.3906/mat-2008-19 |
| Vancouver | korkmaz e,AYIK H Ranks of nilpotent subsemigroups of order-preserving and decreasing transformation semigroups. . 2021; 1626 - 1634. 10.3906/mat-2008-19 |
| IEEE | korkmaz e,AYIK H "Ranks of nilpotent subsemigroups of order-preserving and decreasing transformation semigroups." , ss.1626 - 1634, 2021. 10.3906/mat-2008-19 |
| ISNAD | korkmaz, emrah - AYIK, Hayrullah. "Ranks of nilpotent subsemigroups of order-preserving and decreasing transformation semigroups". (2021), 1626-1634. https://doi.org/10.3906/mat-2008-19 |
| APA | korkmaz e, AYIK H (2021). Ranks of nilpotent subsemigroups of order-preserving and decreasing transformation semigroups. Turkish Journal of Mathematics, 45(4), 1626 - 1634. 10.3906/mat-2008-19 |
| Chicago | korkmaz emrah,AYIK Hayrullah Ranks of nilpotent subsemigroups of order-preserving and decreasing transformation semigroups. Turkish Journal of Mathematics 45, no.4 (2021): 1626 - 1634. 10.3906/mat-2008-19 |
| MLA | korkmaz emrah,AYIK Hayrullah Ranks of nilpotent subsemigroups of order-preserving and decreasing transformation semigroups. Turkish Journal of Mathematics, vol.45, no.4, 2021, ss.1626 - 1634. 10.3906/mat-2008-19 |
| AMA | korkmaz e,AYIK H Ranks of nilpotent subsemigroups of order-preserving and decreasing transformation semigroups. Turkish Journal of Mathematics. 2021; 45(4): 1626 - 1634. 10.3906/mat-2008-19 |
| Vancouver | korkmaz e,AYIK H Ranks of nilpotent subsemigroups of order-preserving and decreasing transformation semigroups. Turkish Journal of Mathematics. 2021; 45(4): 1626 - 1634. 10.3906/mat-2008-19 |
| IEEE | korkmaz e,AYIK H "Ranks of nilpotent subsemigroups of order-preserving and decreasing transformation semigroups." Turkish Journal of Mathematics, 45, ss.1626 - 1634, 2021. 10.3906/mat-2008-19 |
| ISNAD | korkmaz, emrah - AYIK, Hayrullah. "Ranks of nilpotent subsemigroups of order-preserving and decreasing transformation semigroups". Turkish Journal of Mathematics 45/4 (2021), 1626-1634. https://doi.org/10.3906/mat-2008-19 |
