Displaying 21 – 40 of 54

Showing per page

Quasitriangular Hom-Hopf algebras

Yuanyuan Chen, Zhongwei Wang, Liangyun Zhang (2014)

Colloquium Mathematicae

A twisted generalization of quasitriangular Hopf algebras called quasitriangular Hom-Hopf algebras is introduced. We characterize these algebras in terms of certain morphisms. We also give their equivalent description via a braided monoidal category ̃ ( H ) . Finally, we study the twisting structure of quasitriangular Hom-Hopf algebras by conjugation with Hom-2-cocycles.

Quasitriangular Hopf group algebras and braided monoidal categories

Shiyin Zhao, Jing Wang, Hui-Xiang Chen (2014)

Czechoslovak Mathematical Journal

Let π be a group, and H be a semi-Hopf π -algebra. We first show that the category H of left π -modules over H is a monoidal category with a suitably defined tensor product and each element α in π induces a strict monoidal functor F α from H to itself. Then we introduce the concept of quasitriangular semi-Hopf π -algebra, and show that a semi-Hopf π -algebra H is quasitriangular if and only if the category H is a braided monoidal category and F α is a strict braided monoidal functor for any α π . Finally,...

Quasitrivial semimodules. IV.

Tomáš Kepka, Petr Němec (2013)

Acta Universitatis Carolinae. Mathematica et Physica

Almost quasitrivial and critical semimodules are studied.

Quasitrivial semimodules. V.

Tomáš Kepka, Petr Němec (2013)

Acta Universitatis Carolinae. Mathematica et Physica

Critical semimodules over congruence-simple semirings are studied.

Quasitrivial semimodules. VI.

Tomáš Kepka, Petr Němec (2013)

Acta Universitatis Carolinae. Mathematica et Physica

The paper continues the investigation of quasitrivial semimodules and related problems. In particular, endomorphisms of semilattices are investigated.

Quasitrivial semimodules. VII.

Tomáš Kepka, Petr Němec (2013)

Acta Universitatis Carolinae. Mathematica et Physica

The paper continues the investigation of quasitrivial semimodules and related problems. In particular, strong endomorphisms of semilattices are studied.

Currently displaying 21 – 40 of 54