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Colloquium Mathematicum

Subject Areas: Mathematics (miscellaneous)
ISSN: 0010-1354
SJR: 28

Open Access

Journal Article

Cohomology and deformations of hom-dendriform algebras and coalgebras

Das, Apurba

2020 Mathematics

doi:10.4064/cm8049-10-2019

Abstract: Hom-dendriform algebras are twisted analog of dendriform algebras and are splitting of hom-associative algebras. In this paper, we define a cohomology and deformation for hom-dendriform algebras. We relate this cohomology with the Hochschild-type cohomology of hom-associative algebras....
Open Access

Journal Article

Some aspects of Rotation Theory on compact abelian groups

Cruz-López, Manuel; López-Hernández, Francisco J.; Verjovsky, Alberto

2020 Mathematics

doi:10.4064/cm7593-12-2018

Abstract: In this paper we present a generalization of Poincaré's Rotation Theory of homeomorphisms of the circle to the case of one-dimensional compact abelian groups which are solenoidal groups, {\it i.e.}, groups which fiber over the circle with fiber a Cantor abelian group. We define rotation...

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