Articles with "extensions commutative" as a keyword



Smooth Geometry of Skew PBW Extensions Over Commutative Polynomial Rings I

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Published in 2024 at "Bulletin of the Iranian Mathematical Society"

DOI: 10.1007/s41980-025-01015-w

Abstract: In this paper, we investigate the differential smoothness of skew PBW extensions over commutative polynomial rings on one and two indeterminates. read more here.

Keywords: commutative polynomial; pbw extensions; extensions commutative; polynomial rings ... See more keywords
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The commutative inverse semigroup of partial abelian extensions

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Published in 2021 at "Communications in Algebra"

DOI: 10.1080/00927872.2021.1984495

Abstract: This paper is a new contribution to the partial Galois theory of groups. First, given a unital partial action $\alpha_G$ of a finite group $G$ on an algebra $S$ such that $S$ is an $\alpha_G$-partial… read more here.

Keywords: abelian extensions; commutative inverse; inverse semigroup; extensions commutative ... See more keywords