Search Results - "Kirkman, Ellen"

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  1. 1

    Periodic free resolutions from twisted matrix factorizations by Cassidy, Thomas, Conner, Andrew, Kirkman, Ellen, Moore, W. Frank

    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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    Noetherian down-up algebras by Kirkman, Ellen, Musson, Ian M., Passman, D. S.

    “…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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    On the discriminant of twisted tensor products by Gaddis, Jason, Kirkman, Ellen, Moore, W. Frank

    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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    Tensor representations for the Drinfeld double of the Taft algebra by Benkart, Georgia, Biswal, Rekha, Kirkman, Ellen, Nguyen, Van C., Zhu, Jieru

    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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    Semisimple Reflection Hopf Algebras of Dimension Sixteen by Ferraro, Luigi, Kirkman, Ellen, Moore, W. Frank, Won, Robert

    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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    Minimal prime ideals in enveloping algebras of Lie superalgebras by Kirkman, Ellen, Kuzmanovich, James

    “…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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    Actions of Drinfeld doubles of finite groups on Artin-Schelter regular algebras by Kirkman, Ellen, Moore, W. Frank, Oke, Tolulope

    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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    Down-Up Algebras From Trees by Kirkman, Ellen, Kuzmanovich, James

    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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    Weighted homological regularities by Kirkman, Ellen, Won, Robert, Zhang, James J

    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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    Degree bounds for Hopf actions on Artin-Schelter regular algebras by Kirkman, Ellen, Won, Robert, Zhang, James J

    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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    Homological regularities and concavities by Kirkman, Ellen, Won, Robert, Zhang, James J

    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 by Goetz, Peter, Kirkman, Ellen E, Moore, W. Frank, Vashaw, Kent B

    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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    Graded FGF activity patterns distinct cell types within the apical sensory organ of the sea anemone Nematostella vectensis by Sabin, Keith Z., Chen, Shiyuan, Hill, Eric M., Weaver, Kyle J., Yonke, Jacob, Kirkman, MaryEllen, Redwine, William B., Klompen, Anna M.L., Zhao, Xia, Guo, Fengli, McKinney, Mary Cathleen, Dewey, Jessica L., Gibson, Matthew C.

    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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    Tensor Representations for the Drinfeld Double of the Taft Algebra by Benkart, Georgia, Biswal, Rekha, Kirkman, Ellen, Nguyen, Van C, Zhu, Jieru

    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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    Invariant Theory of Artin-Schelter Regular Algebras: A survey by Kirkman, Ellen E

    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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    rRNA transcription is integral to phase separation and maintenance of nucleolar structure by Dash, Soma, Lamb, Maureen C, Lange, Jeffrey J, McKinney, Mary C, Tsuchiya, Dai, Guo, Fengli, Zhao, Xia, Corbin, Timothy J, Kirkman, MaryEllen, Delventhal, Kym, Moore, Emma L, McKinney, Sean, Shiang, Rita, Trainor, Paul A

    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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    On the Noether Bound for Noncommutative Rings by Ferraro, Luigi, Kirkman, Ellen, Moore, W. Frank, Peng, Kewen

    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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