Makale detayı · 2014
GENERATING SETS OF STRICTLY ORDER PRESERVING TRANSFORMATION SEMIGROUPS ON A FINITE SET
Bulletin of the Korean Mathematical Society
YÖKSİS
OpenAlex
Açık erişim · bronze
SJR Q3
JCR Q4
Atıf 1
Yüzdelik 9.7%
FWCI 0.0
- Yıl
- 2014
- ISSN
1015-8634- Tür
- article
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Özet
İngilizce (OpenAlex)
Let $O_n$ and $PO_n$ denote the order-preserving transformation and the partial order-preserving transformation semigroups on the set $X_n=\{1,{\ldots},n\}$ , respectively. Then the strictly partial order-preserving transformation semigroup $SPO_n$ on the set $X_n$ , under its natural order, is defined by $SPO_n=PO_n{\setminus}O_n$ . In this paper we find necessary and sufficient conditions for any subset of SPO(n, r) to be a (minimal) generating set of SPO(n, r) for $2{\leq}r{\leq}n-1$ .
Konular
- semigroups and automata theory
- Advanced Algebra and Logic
- Fuzzy and Soft Set Theory
Birincil konu semigroups and automata theory