지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
We consider a congruence ｐ on a group G as a subsemigroup of the direct product G × G. It is well known that a relation on G is a congruence if and only if there exists a normal subgroup N of G such that ｐ={(s, t) : st−1 ∈ 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 ｐ={(s, t) : st−1 ∈ N} on G is finitely presented.
목차
등록된 정보가 없습니다.
참고문헌 (9)
참고문헌 신청
C. Carvalho / 2011 / Presentations of inverse semigroups, their kernels and extension / J. Aust. Math. Soc 90 (3) : 289 ~ 316
D. L. Johnson / 1990 / Presentations of Groups / Cambridge University Press
E. F. Robertson / 1998 / Generators and relations of direct product of semigroups / Trans. Amer. Math. Soc 350 (7) : 2665 ~ 2685
G. Ayık / 2005 / Presentations for S and S/ρ from a given presentation ρ / Semigroup Forum 70 (1) : 146 ~ 149
H. Ayık / 1999 / Generators and relations of Rees matrix semigroups / Proc. Edinburgh Math. Soc 42 (3) : 482 ~ 495
D. L. Johnson / 1990 / Presentations of Groups / Cambridge University Press
E. F. Robertson / 1998 / Generators and relations of direct product of semigroups / Trans. Amer. Math. Soc 350 (7) : 2665 ~ 2685
G. Ayık / 2005 / Presentations for S and S/ρ from a given presentation ρ / Semigroup Forum 70 (1) : 146 ~ 149
H. Ayık / 1999 / Generators and relations of Rees matrix semigroups / Proc. Edinburgh Math. Soc 42 (3) : 482 ~ 495
이 논문의 저자 정보
최근 본 자료
댓글(0)
0