摘要
利用(~)-好同余对刻画了正规纯正幂幺半群并半群上的(~)-好同余。此结果将正则半群中有关正规纯正群并半群上同余的相关结论推广到了E(S)-半富足半群中。
(~)-good congruences on normal ortho-u-monoids are characterized by means of(~)-good congruence pairs. The results about congruences on normal orthogroups in regular semigroups are generalized to(~)-semiabundant semigroups.
引文
[1] GUO Yuqi, SHUM Kar Ping, GONG Chunmei. On (*,~)-Green?s relations and ortho-lc-monoids[J]. Communications in Algebra, 2011, 39(1):5-31.
[2] GONG Chunmei, GUO Yuqi, SHUM Kar Ping. Ortho-u-monoids[J]. Acta Mathematica Sinica, English series, 2011, 27(5):831-844.
[3] 郭聿琦,宫春梅,孔祥智.正则纯正左消幺半群并半群上的(*,~)-好同余[J].代数集刊,2014, 21(2):235-248.GUO Yuqi, GONG Chunmei, KONG Xiangzhi. (*,~)-good congruences on regular ortho-lc-monoids[J]. Algebra Colloquium, 2014, 21(2):235-248.
[4] 宫春梅,任学明,袁莹.正规纯正左消幺半群并半群上的(*,~)-好同余[J].数学进展,2015, 44(3):369-378.GONG Chunmei, REN Xueming, YUAN Ying. The (*,~)-good congruences on normal ortho-lc-monoids[J]. Adavances in Mathematics (China), 2015, 44(3):369-378.
[5] ZHAO Jinxing, GUO Yuqi, LIU Yun. A note on the structure of ortho-lc-monoids[J]. Southeast Asian Bulletin of Mathematics, 2007, 31(2):407-414.
[6] HOWIE J M. Fundamentals of semigroup theory[M]. Oxford: Oxford Science Publications, 1995.
[7] FOUNTAIN J B. Abundant semigroups[J]. Proc London Math Soc, 1982, 44(3):103-129.