机构地区: 中山大学数学与计算科学学院数学系
出 处: 《Journal of Mathematical Research and Exposition》 1999年第3期475-482,共8页
摘 要: 设ρ是个群S上的一个同余.如果S/ρ是矩形带,则称ρ是矩形带同余。本文刻画了半群上的最小矩形带同余.设T是半群S的子半群,本文给出了T上每个矩形带同余能扩张成S上矩形带同余的充分必要条件。 Let ρ be a congruence on a semingroup S.ρis called a rectangular band congruence if S/ρ is a rectangular band. In this paper the least restangular band congruence on a senigroup is disccribed . Let T be a subsemigroup of a semigroup S. A necessary and sufficient condition for which every rectangular band congruence on T can be uniquely extended to a rectangular band congruence on S is given.