本文给出一个反例。说明了G. Birkhoff的《Lattice Theory》(3rd ed)P_(289)中的N.G/N字典扩张(Lexicographic extenaion of N by G/N)之定义的不正确性:同时得到了群G中正规po-子群(N.<)扩张G为po-群(G.<＇)的条件以及(G.<＇...本文给出一个反例。说明了G. Birkhoff的《Lattice Theory》(3rd ed)P_(289)中的N.G/N字典扩张(Lexicographic extenaion of N by G/N)之定义的不正确性:同时得到了群G中正规po-子群(N.<)扩张G为po-群(G.<＇)的条件以及(G.<＇)的构造;又得到了群G为非平凡序po-群的充要条件.展开更多
In this paper, the concept of uniform π _semiprime family in po_semigroups and semigroups is introduced. We give characterizations of left π _regular po_semigroups which generalize the results given by N. Keha...In this paper, the concept of uniform π _semiprime family in po_semigroups and semigroups is introduced. We give characterizations of left π _regular po_semigroups which generalize the results given by N. Kehayopulu in [1].展开更多
文摘本文给出一个反例。说明了G. Birkhoff的《Lattice Theory》(3rd ed)P_(289)中的N.G/N字典扩张(Lexicographic extenaion of N by G/N)之定义的不正确性:同时得到了群G中正规po-子群(N.<)扩张G为po-群(G.<＇)的条件以及(G.<＇)的构造;又得到了群G为非平凡序po-群的充要条件.
文摘In this paper, the concept of uniform π _semiprime family in po_semigroups and semigroups is introduced. We give characterizations of left π _regular po_semigroups which generalize the results given by N. Kehayopulu in [1].
