摘要
本文研究了交换幺半群A上同余和其局部化As上同余之间的关系(s为A的子幺半群)我们还给出了当子幺半群S满足条件(C)时,A上同余格和As上同余格之间一个同构映射并证明了它可保持可消同余、本原同余、素同余、最小半格同余、最小可分同余。
In this paper we have studied the relations between the congruences of a commutative monoid A and those on its localization As with respect to its submonid S. We have given an isomorphism between the lattice of congruences on A and the lattice of congruences on As preserving the cancellative, primary, prime, the smallest semilattice and the smallest separative congruence, when S satisfying the condition (c).
出处
《山东师范大学学报（自然科学版）》
CAS
1990年第2期1-6,共6页
Journal of Shandong Normal University(Natural Science)
关键词
交换幺半群
局部化
同余
半群
primary congruence, prime congruence, minimal semilattice congruence, minimal separative congruence
