摘要
讨论了条件(E′)对幺半群的刻画问题.特别地利用条件(E′)给出了Von Neumann正则幺半群的S-系范畴特征,证明了幺半群S是正则的,当且仅当所有满足条件(E′)的左S-系是平坦的.同时给出两类使其上所有满足条件(P)的S-系都是弱拉回平坦的特殊幺半群,即幂等元幺半群与null幺半群.
Some acts category characters of Von Neumann regular monoids are discussed by using condition（E′）. It is proved that a monoid S is regular if and only if all leftacts satisfying condition （E′） are flat and two kinds of special monoids that is idempotent element monoids and null monoids. which all leftacts satisfying codition（P） are weak pullback flat.
出处
《北京建筑工程学院学报》
2007年第3期53-55,共3页
Journal of Beijing Institute of Civil Engineering and Architecture
