Let S° be an inverse semigroup with semilattice biordered set E° of idempotents and E a weakly inverse biordered set with a subsemilattice Ep = { e ∈ E ｜ arbieary f ∈ E, S（f , e） loheain in w（e）} iso...Let S° be an inverse semigroup with semilattice biordered set E° of idempotents and E a weakly inverse biordered set with a subsemilattice Ep = { e ∈ E ｜ arbieary f ∈ E, S（f , e） loheain in w（e）} isomorphic to E° by θ：Ep→E°. In this paper, it is proved that if arbieary f, g ∈E, f ←→ g→→ f°θD^s° g°θand there exists a mapping φ from Ep into the symmetric weakly inverse semigroup P J（E∪ S°） satisfying six appropriate conditions, then a weakly inverse semigroup ∑ can be constructed in P J（S°）, called the weakly inverse hull of a weakly inverse system （S°, E, θ, φ） with I（∑） ≌ S°, E（∑） ∽- E. Conversely, every weakly inverse semigroup can be constructed in this way. Furthermore, a sufficient and necessary condition for two weakly inverse hulls to be isomorphic is also given.展开更多
It is dedicated to the study of inverse wrpp semigroup, we obtain some charac- terizations of inverse wpp semigroup. In particular, we establish some charactizations for C-wrpp semigroup.
In this paper, we obtain some characterizations of the translational hull of strongly inverse wrpp semigroups. And we prove that the translational hull of a strongly inverse wrpp semigroup is still of the same type.
The paper introduces a class of inverse(sub)monoids which contains Jones-Lawson’s gauge inverse(sub)monoid.The aim is to give examples and the basic properties of these monoids.Jones-Lawson’s gauge inverse monoid,as...The paper introduces a class of inverse(sub)monoids which contains Jones-Lawson’s gauge inverse(sub)monoid.The aim is to give examples and the basic properties of these monoids.Jones-Lawson’s gauge inverse monoid,as an inverse submonoid of the polycyclic monoid,is the prototype in our development line.The generalization leads also to Mea-kin-Sapir type results involving bijections between special congruences and special wide inverse submonoids.展开更多
文摘Let S° be an inverse semigroup with semilattice biordered set E° of idempotents and E a weakly inverse biordered set with a subsemilattice Ep = { e ∈ E ｜ arbieary f ∈ E, S（f , e） loheain in w（e）} isomorphic to E° by θ：Ep→E°. In this paper, it is proved that if arbieary f, g ∈E, f ←→ g→→ f°θD^s° g°θand there exists a mapping φ from Ep into the symmetric weakly inverse semigroup P J（E∪ S°） satisfying six appropriate conditions, then a weakly inverse semigroup ∑ can be constructed in P J（S°）, called the weakly inverse hull of a weakly inverse system （S°, E, θ, φ） with I（∑） ≌ S°, E（∑） ∽- E. Conversely, every weakly inverse semigroup can be constructed in this way. Furthermore, a sufficient and necessary condition for two weakly inverse hulls to be isomorphic is also given.
文摘It is dedicated to the study of inverse wrpp semigroup, we obtain some charac- terizations of inverse wpp semigroup. In particular, we establish some charactizations for C-wrpp semigroup.
基金Supported by the National Natural Science Foundation of China(11361027)Supported by the Science Foundation of Education Department of Jiangxi Province(GJJ11388)Supported by the Youth Growth Fund of Jiangxi Normal University
文摘In this paper, we obtain some characterizations of the translational hull of strongly inverse wrpp semigroups. And we prove that the translational hull of a strongly inverse wrpp semigroup is still of the same type.
文摘The paper introduces a class of inverse(sub)monoids which contains Jones-Lawson’s gauge inverse(sub)monoid.The aim is to give examples and the basic properties of these monoids.Jones-Lawson’s gauge inverse monoid,as an inverse submonoid of the polycyclic monoid,is the prototype in our development line.The generalization leads also to Mea-kin-Sapir type results involving bijections between special congruences and special wide inverse submonoids.
