In this paper, we introduce the definition of (m, n)0-regularity in Г-semigroups. we in- vestigate and characterize the 20-regular class of F-semigroups using Green's relations. Extending and generalizing the Croi...
Supported by the National Natural Science Foundation of China (Grant No. 10961014);the Science and Technology Projects in Guangdong Province (Grant No. 2010B010600039);the Guangdong Provincial Natural Science Foundation of China (Grant No. S2011010003681);the Anhui Provincial Excellent Youth Talent Foundation (Grant No. 2012SQRL115ZD);the University Natural Science Project of Anhui Province (Grant No. KJ2012B133);the Fuyang Normal College Natural Science Foundation (Grant No. 2007LZ01)
In this paper, fuzzy quasi-ideals of ordered semigroups are characterized by the properties of their level subsets. Furthermore, we introduce the notion of completely semiprime fuzzy quasi-ideals of ordered semigroups...
Supported by National Natural Science Foundation of China(90818020); Supported by Scientific Research Foundation of China Jiliang University(20060810)
In this paper, we discuss some properties about an abundant semigroup with a quasi-ideal adequate transversal. Moreover, we show that the product of two quasi-ideal adequate transversals of an abundant semigroup which...
supported by National Natural Science Foundation of China (Grant No.10571077);Natural Science Foundation of Gansu Province (Grant No.3ZS052-A25-017)
Characterization theorems for abundant sernigroups having a quasi-ideal quasi-adequate transversal are obtained. Our results generalize and amplify the related results of Satio on regular semigroup obtained in 1985 an...