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Advances in Algebra

SRAC 2017, Mobile, Alabama, USA, March 17-19

  • Conference proceedings
  • © 2019

Overview

Editors:
  1. Jörg Feldvoss

    1. Department of Mathematics and Statistics, University of South Alabama, Mobile, USA

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  2. Lauren Grimley

    1. Department of Mathematics, Spring Hill College, Mobile, USA

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  3. Drew Lewis

    1. Department of Mathematics and Statistics, University of South Alabama, Mobile, USA

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  4. Andrei Pavelescu

    1. Department of Mathematics and Statistics, University of South Alabama, Mobile, USA

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  5. Cornelius Pillen

    1. Department of Mathematics and Statistics, University of South Alabama, Mobile, USA

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  • Covers theoretical and computational aspects of ring theory, group theory, Lie theory, commutative algebra, algebraic geometry, linear algebra, and quantum groups
  • Includes a balance of original research articles and well-written survey papers
  • Honors the Southern Regional Algebra Conferences' tradition of embracing new mathematics from across all areas in algebra

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 277)

Included in the following conference series:

Conference proceedings info: SRAC 2017.

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About this book

This proceedings volume covers a range of research topics in algebra from the Southern Regional Algebra Conference (SRAC) that took place in March 2017. Presenting theory as well as computational methods, featured survey articles and research papers focus on ongoing research in algebraic geometry, ring theory, group theory, and associative algebras. Topics include algebraic groups, combinatorial commutative algebra, computational methods for representations of groups and algebras, group theory, Hopf-Galois theory, hypergroups, Lie superalgebras, matrix analysis, spherical and algebraic spaces, and tropical algebraic geometry. 

Since 1988, SRAC has been an important event for the algebra research community in the Gulf Coast Region and surrounding states, building a strong network of algebraists that fosters collaboration in research and education. This volume is suitable for graduate students and researchers interested in recent findings in computational and theoretical methods in algebra and representation theory.

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Table of contents (17 papers)

  1. Front Matter

    Pages i-xviii
    Download chapter PDF

  2. Hattori-Torsion-Freeness and Endomorphism Rings

    • Ulrich Albrecht, Bradley McQuaig
    Pages 1-16

  3. Regularity of Edge Ideals and Their Powers

    • Arindam Banerjee, Selvi Kara Beyarslan, Hà Huy Tài
    Pages 17-52

  4. A Survey of Rings Satisfying Annihilator or Extending Conditions on Projection Invariant Ideals

    • Gary F. Birkenmeier, Yeliz Kara, Adnan Tercan
    Pages 53-65

  5. Classification of Reductive Monoid Spaces over an Arbitrary Field

    • Mahir Bilen Can
    Pages 67-94

  6. Computing with Matrix and Basic Algebras

    • Jon F. Carlson
    Pages 95-109

  7. A Product Formula for the Normalized Volume of Free Sums of Lattice Polytopes

    • Tianran Chen, Robert Davis
    Pages 111-119

  8. On the Cohomological Spectrum and Support Varieties for Infinitesimal Unipotent Supergroup Schemes

    • Christopher M. Drupieski, Jonathan R. Kujawa
    Pages 121-167

  9. A Survey of the Marcus–de Oliveira Conjecture

    • Huajun Huang
    Pages 169-181

  10. Schubert Polynomial Analogues for Degenerate Involutions

    • Michael Joyce
    Pages 183-199

  11. The Structure of Hopf Algebras Acting on Dihedral Extensions

    • Alan Koch, Timothy Kohl, Paul J. Truman, Robert Underwood
    Pages 201-218

  12. Semi-extraspecial Groups

    • Mark L. Lewis
    Pages 219-237

  13. The 3-Modular Character Table of the Automorphism Group of the Sporadic Simple O’Nan Group

    • Klaus Lux, Alexander Ryba
    Pages 239-253

  14. Low Degree Cohomology of Frobenius Kernels

    • Nham V. Ngo
    Pages 255-259

  15. On the Finite W-Algebra for the Queer Lie Superalgebra

    • Elena Poletaeva
    Pages 261-274

  16. An Alternate Proof to Derek Robinson’s 1968 Local Characterization Theorem on T-Groups

    • Matthew F. Ragland
    Pages 275-278

  17. Some Tables of Right Set Properties in Affine Weyl Groups of Type A

    • Leonard L. Scott, Ethan C. Zell
    Pages 279-304

  18. Hypergroups All Nonidentity Elements of Which Are Involutions

    • Paul-Hermann Zieschang
    Pages 305-322
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Other volumes

  1. Advances in Algebra

Editors and Affiliations

  • Department of Mathematics and Statistics, University of South Alabama, Mobile, USA

    Jörg Feldvoss, Drew Lewis, Andrei Pavelescu, Cornelius Pillen

  • Department of Mathematics, Spring Hill College, Mobile, USA

    Lauren Grimley

About the editors


Bibliographic Information

  • Book Title: Advances in Algebra

  • Book Subtitle: SRAC 2017, Mobile, Alabama, USA, March 17-19

  • Editors: Jörg Feldvoss, Lauren Grimley, Drew Lewis, Andrei Pavelescu, Cornelius Pillen

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • DOI: https://doi.org/10.1007/978-3-030-11521-0

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-030-11520-3Published: 27 February 2019

  • eBook ISBN: 978-3-030-11521-0Published: 27 February 2019

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: XVIII, 322

  • Number of Illustrations: 23 b/w illustrations, 3 illustrations in colour

  • Topics: Algebraic Geometry, Associative Rings and Algebras

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