Let H be a finite-dimensional pointed Hopf algebra of rank one over an algebraically closed feld of characteristic zero.We describe all annihilator ideals of indecomposable H-modules by generators.In particular,we giv...Let H be a finite-dimensional pointed Hopf algebra of rank one over an algebraically closed feld of characteristic zero.We describe all annihilator ideals of indecomposable H-modules by generators.In particular,we give the classification of all ideals of the finite-dimensional pointed rank one Hopf algebra of nilpotent type over the Klein 4-group.展开更多
In this paper, we establish a structure theorem of naturally ordered rpp semigroups with max-idempotents. Results on naturally ordered semigroups with max- idempotents in the literature are extended and amplified. Som...In this paper, we establish a structure theorem of naturally ordered rpp semigroups with max-idempotents. Results on naturally ordered semigroups with max- idempotents in the literature are extended and amplified. Some previous results obtained by Blyth, McFadden, Cuo and Xie on regular and abundant ordered semigroups are ex- tended to ordered roo semigrouos.展开更多
Semirings which are a disjoint union of rings form a variety S which contains the variety of all rings and the variety of all idempotent semirings, and in particular, the variety of distributive lattices. Various stru...Semirings which are a disjoint union of rings form a variety S which contains the variety of all rings and the variety of all idempotent semirings, and in particular, the variety of distributive lattices. Various structure theorems are established which bring insight into the structure of the lattice of subvarieties of S.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.12371041).
文摘Let H be a finite-dimensional pointed Hopf algebra of rank one over an algebraically closed feld of characteristic zero.We describe all annihilator ideals of indecomposable H-modules by generators.In particular,we give the classification of all ideals of the finite-dimensional pointed rank one Hopf algebra of nilpotent type over the Klein 4-group.
文摘In this paper, we establish a structure theorem of naturally ordered rpp semigroups with max-idempotents. Results on naturally ordered semigroups with max- idempotents in the literature are extended and amplified. Some previous results obtained by Blyth, McFadden, Cuo and Xie on regular and abundant ordered semigroups are ex- tended to ordered roo semigrouos.
基金Guo Yuqi was supported by the National Natural Science Foundation of China (Grant No. 10071068) the Provincial Applied Fundamental Research Foundation of Yunnan Province of China.
文摘Semirings which are a disjoint union of rings form a variety S which contains the variety of all rings and the variety of all idempotent semirings, and in particular, the variety of distributive lattices. Various structure theorems are established which bring insight into the structure of the lattice of subvarieties of S.
