In this paper we establish a construction of a class of left E-adequate semigroups by using semilattices of cancellative monoids and fundamental left E-adequate semigroups. We first introduce concepts of type μ^＋（...In this paper we establish a construction of a class of left E-adequate semigroups by using semilattices of cancellative monoids and fundamental left E-adequate semigroups. We first introduce concepts of type μ^＋（μ^＊,μ ） abundant semigroups and type μ^＋left E-adequate semigroups. In fact, regular semigroups are type μ^＋abundant semigroups and inverse semigroups are type μ^＋left E-adequate semigroups. Next, we construct a special kind of algebras called E^＋-product. It is proved that every E^＋-product is a type μ^＋left E-adequate semigroup, and every type μ^＋left E-adequate semigroup is isomorphic to an E^＋-product of a semilattice of cancellative monoids with a fundamental left E-adequate semigroup. Finally, as a corollary of the main result, it is deduced that every inverse semigroup is isomorphic to an E^＋-product of a Clifford semigroup by a fundamental inverse semigroup.展开更多
Wlpp semigroups are generalizations of lpp semigroups and regular semigroups. In this paper, we consider some kinds of wlpp semigroups, namely right-e wlpp semigroups. It is proved that such a semigroup S, if and only...Wlpp semigroups are generalizations of lpp semigroups and regular semigroups. In this paper, we consider some kinds of wlpp semigroups, namely right-e wlpp semigroups. It is proved that such a semigroup S, if and only if S is the strong semilattice of L-right cancellative planks; also if and only if S is a spined product of a right-e wlpp semigroup and a left normal band.展开更多
给出在sum from e to 1型Banach空间中一致有界C_0半群的生成元是有界线性算子的若干充分条件.证明了在sum from e to 1型Banach空间中由Hermitian算子或由等距算子组成的C_0半群的生成元都是有界线性算子.证明了在sum from e to 1型Ban...给出在sum from e to 1型Banach空间中一致有界C_0半群的生成元是有界线性算子的若干充分条件.证明了在sum from e to 1型Banach空间中由Hermitian算子或由等距算子组成的C_0半群的生成元都是有界线性算子.证明了在sum from e to 1型Banach空间中每个强连续非拟解析余弦族的生成元必是有界线性算子.展开更多
文摘In this paper, we introduce O-F-inverse semigroups and characterize O-F-inverse categorical semigroups by using their minimal primitive congruence β.
基金The NSF (04JJ40001) of Hunanthe Scientific Research Foundation (05A014) of Hunan Education Department
文摘In this paper we establish a construction of a class of left E-adequate semigroups by using semilattices of cancellative monoids and fundamental left E-adequate semigroups. We first introduce concepts of type μ^＋（μ^＊,μ ） abundant semigroups and type μ^＋left E-adequate semigroups. In fact, regular semigroups are type μ^＋abundant semigroups and inverse semigroups are type μ^＋left E-adequate semigroups. Next, we construct a special kind of algebras called E^＋-product. It is proved that every E^＋-product is a type μ^＋left E-adequate semigroup, and every type μ^＋left E-adequate semigroup is isomorphic to an E^＋-product of a semilattice of cancellative monoids with a fundamental left E-adequate semigroup. Finally, as a corollary of the main result, it is deduced that every inverse semigroup is isomorphic to an E^＋-product of a Clifford semigroup by a fundamental inverse semigroup.
基金The NSF(11471255)of Chinathe Scientific Research Project(15JK1411)of Education Department of Shaanxi Provincial Governmentthe Scientific Research Project(17KY02)of College
文摘Wlpp semigroups are generalizations of lpp semigroups and regular semigroups. In this paper, we consider some kinds of wlpp semigroups, namely right-e wlpp semigroups. It is proved that such a semigroup S, if and only if S is the strong semilattice of L-right cancellative planks; also if and only if S is a spined product of a right-e wlpp semigroup and a left normal band.
文摘给出在sum from e to 1型Banach空间中一致有界C_0半群的生成元是有界线性算子的若干充分条件.证明了在sum from e to 1型Banach空间中由Hermitian算子或由等距算子组成的C_0半群的生成元都是有界线性算子.证明了在sum from e to 1型Banach空间中每个强连续非拟解析余弦族的生成元必是有界线性算子.
