Search Results - "Kirkman, Ellen"
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1
Periodic free resolutions from twisted matrix factorizations
Published in Journal of algebra (01-06-2016)“…The notion of a matrix factorization was introduced by Eisenbud in the commutative case in his study of bounded (periodic) free resolutions over complete…”
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2
Fixed subrings of Noetherian graded regular rings
Published in Journal of algebra (15-06-2005)Get full text
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3
Special issue in memory of Georgia Benkart
Published in Journal of algebra (01-10-2024)Get full text
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4
Noetherian down-up algebras
Published in Proceedings of the American Mathematical Society (01-11-1999)“…Down-up algebras A= A(\alpha ,\beta ,\gamma ) were introduced by G. Benkart and T. Roby to better understand the structure of certain posets. In this paper, we…”
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5
On the discriminant of twisted tensor products
Published in Journal of algebra (01-05-2017)“…We provide formulas for computing the discriminant of noncommutative algebras over central subalgebras in the case of Ore extensions and skew group extensions…”
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6
Tensor representations for the Drinfeld double of the Taft algebra
Published in Journal of algebra (15-09-2022)“…Over an algebraically closed field k of characteristic zero, the Drinfeld double Dn of the Taft algebra that is defined using a primitive nth root of unity q∈k…”
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7
Semisimple Reflection Hopf Algebras of Dimension Sixteen
Published in Algebras and representation theory (01-06-2022)“…For each nontrivial semisimple Hopf algebra H of dimension sixteen over ℂ , the smallest dimension inner-faithful representation of H acting on a quadratic AS…”
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8
Minimal prime ideals in enveloping algebras of Lie superalgebras
Published in Proceedings of the American Mathematical Society (01-06-1996)“…Let {\frak g} be a finite dimensional Lie superalgebra over a field of characteristic zero. Let U({\frak g}) be the enveloping algebra of {\frak g}. We show…”
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9
Actions of Drinfeld doubles of finite groups on Artin-Schelter regular algebras
Published 28-05-2024“…For a finite group $G$ and $\Bbbk$ an algebraically closed field of characteristic zero we consider Artin-Schelter regular algebras $A$ on which the Drinfeld…”
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10
Down-Up Algebras From Trees
Published in Communications in algebra (01-10-2006)“…It is shown that the global dimension of any n-ary down-up algebra A n = A(n, α , β , γ ) is less than or equal to n + 2, and when γ i = 0 for all i (A n is…”
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11
Weighted homological regularities
Published 13-04-2022“…Let $A$ be a noetherian connected graded algebra. We introduce and study homological invariants that are weighted sums of the homological and internal degrees…”
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12
Degree bounds for Hopf actions on Artin-Schelter regular algebras
Published 15-12-2021“…We study semisimple Hopf algebra actions on Artin-Schelter regular algebras and prove several upper bounds on the degrees of the minimal generators of the…”
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13
Homological regularities and concavities
Published 15-07-2021“…This paper concerns homological notions of regularity for noncommutative algebras. Properties of an algebra $A$ are reflected in the regularities of certain…”
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Some Artin-Schelter Regular Algebras From Dual Reflection Groups and their Geometry
Published 11-10-2024“…Let $G$ be a group coacting on an Artin-Schelter regular algebra $A$ homogeneously and inner-faithfully. When the identity component $A_e$ is also…”
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15
Graded FGF activity patterns distinct cell types within the apical sensory organ of the sea anemone Nematostella vectensis
Published in Developmental biology (01-06-2024)“…Bilaterian animals have evolved complex sensory organs comprised of distinct cell types that function coordinately to sense the environment. Each sensory unit…”
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The Peirce representation of an inertial coefficient ring
Published in The Rocky Mountain journal of mathematics (01-09-1978)Get full text
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17
Tensor Representations for the Drinfeld Double of the Taft Algebra
Published 25-05-2022“…Over an algebraically closed field $\mathbb k$ of characteristic zero, the Drinfeld double $D_n$ of the Taft algebra that is defined using a primitive $n$th…”
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18
Invariant Theory of Artin-Schelter Regular Algebras: A survey
Published 19-06-2015“…This is a survey of results that extend notions of the classical invariant theory of linear actions by finite groups on $k[x_1, \dots, x_n]$ to the setting of…”
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19
rRNA transcription is integral to phase separation and maintenance of nucleolar structure
Published in PLoS genetics (28-08-2023)“…Transcription of ribosomal RNA (rRNA) by RNA Polymerase (Pol) I in the nucleolus is necessary for ribosome biogenesis, which is intimately tied to cell growth…”
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20
On the Noether Bound for Noncommutative Rings
Published 15-07-2019“…We present two noncommutative algebras over a field of characteristic zero that each posses a family of actions by cyclic groups of order $2n$, represented in…”
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