26 citations · 46 across the 10 of their papers we have counts for
13 papers
Matched pairs of -invertible Hopf quasigroups
M. Hassanzadeh, S. Sütlü
The matched pair theory (of groups) is studied for a class of quasigroups; namely, the -inverse property loops. The theory is upgraded to the Hopf level, and the "-invertible…
Lagrange's Theorem For Hom-Groups
Mohammad Hassanzadeh
Hom-groups are nonassociative generalizations of groups where the unitality and associativity are twisted by a map. We show that a Hom-group (G, α) is a pointed idempotent quasigro…
On Antipodes Of Hom-Hopf algebras
Mohammad Hassanzadeh
In the recent definition of Hom-Hopf algebras the antipode S is the relative Hominverse of the identity map with respect to the convolution product. We observe that some fundamenta…
Hom-Groups, Representations and Homological Algebra
Mohammad Hassanzadeh
A Hom-group G is a nonassociative version of a group where associativity, invertibility, and unitality are twisted by a map α: G\longrightarrow G. Introducing the Hom-group algebra…
Monoidal Categories, 2-Traces, and Cyclic Cohomology
Mohammad Hassanzadeh, Masoud Khalkhali, Ilya Shapiro
In this paper we show that to a unital associative algebra object (resp. co-unital co-associative co-algebra object) of any abelian monoidal category endowed with a s…
Cyclic homology for Hom-associative algebras
Mohammad Hassanzadeh, Ilya Shapiro, Serkan Sütlü
In the present paper we investigate the noncommutative geometry of a class of algebras, called the Hom-associative algebras, whose associativity is twisted by a homomorphism. We de…