Makale detayı · 2013
SEMIGROUP PRESENTATIONS FOR CONGRUENCES ON GROUPS
Bulletin of the Korean Mathematical Society
YÖKSİS
OpenAlex
Açık erişim · bronze
SJR Q3
JCR Q3
Atıf 0
Yüzdelik 6.3%
FWCI 0.0
- Yıl
- 2013
- ISSN
1015-8634- Tür
- article
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Özet
İngilizce (OpenAlex)
We consider a congruence ${\rho}$ on a group G as a subsemigroup of the direct product $G{\times}G$ . It is well known that a relation ${\rho}$ on G is a congruence if and only if there exists a normal subgroup N of G such that ${\rho}=\{(s,\;t):st^{-1}{\in}N\}$ . In this paper we prove that if G is a finitely presented group, and if N is a normal subgroup of G with finite index, then the congruence ${\rho}=\{(s,\;t):st^{-1}{\in}N\}$ on G is finitely presented.
Konular
- semigroups and automata theory
- Advanced Algebra and Logic
- Fuzzy and Soft Set Theory
Birincil konu semigroups and automata theory