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   Articles with "ore extensions" as a keyword



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Hopf Ore Extensions

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recommendations! Published in 2019 at "Algebras and Representation Theory"

DOI: 10.1007/s10468-019-09901-8

Abstract: Brown, O’Hagan, Zhang, and Zhuang gave a set of conditions on an automorphism σ and a σ-derivation δ of a Hopf k-algebra R for when the skew polynomial extension T = R[x,σ,δ] of R admits… read more here.

Keywords: hopf; hopf algebra; extensions hopf; hopf ore ... See more keywords

Generalized Hopf–Ore extensions

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recommendations! Published in 2018 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2018.04.032

Abstract: We derive necessary and sufficient conditions for an Ore extension of a Hopf algebra to have a Hopf algebra structure of a certain type. This construction generalizes the notion of Hopf-Ore extension, called a generalized… read more here.

Keywords: hopf; ore extension; hopf ore; generalized hopf ... See more keywords

Tensor product decomposition rules for weight modules over the Hopf–Ore extensions of group algebras

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recommendations! Published in 2018 at "Communications in Algebra"

DOI: 10.1080/00927872.2017.1350697

Abstract: ABSTRACT In this paper, we investigate the tensor structure of the category of finite- dimensional weight modules over the Hopf–Ore extensions kG(χ−1,a,0) of group algebras kG. The tensor product decomposition rules for all indecomposable weight… read more here.

Keywords: group algebras; weight modules; extensions group; hopf ore ... See more keywords

Structure and arithmetic of multivariate Ore extensions

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recommendations! Published in 2024 at "Communications in Algebra"

DOI: 10.1080/00927872.2024.2387049

Abstract: Abstract We give the basic structure of the multivariable Ore extensions S=A[t¯;σ,δ¯] introduced in the work of Martínez-Peñas and Kschischang. The Pseudo multilinear transformations (PMT’s) are introduced and correspond to modules over S. These maps… read more here.

Keywords: ore extensions; structure arithmetic; structure; arithmetic multivariate ... See more keywords

Ore Extensions of Multiplier Hopf Coquasigroups

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recommendations! Published in 2025 at "Axioms"

DOI: 10.3390/axioms14110778

Abstract: This paper introduces and investigates Ore extensions in the context of multiplier Hopf coquasigroups, a structure that generalizes both multiplier Hopf algebras and Hopf coquasigroups. We establish necessary and sufficient conditions under which an Ore… read more here.

Keywords: multiplier hopf; ore extensions; hopf algebras; hopf coquasigroups ... See more keywords