Advances in Algebra

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.

Covers theoretical and computational aspects of ring theory, group theory, Lie theory, commutative algebra, algebraic geometry, linear algebra, and quantum groups

Albrecht, U. and McQuaig, B: Hattori Torsion-Freeness and Endomorphism Rings.- Banerjee, A., Beyarslan, S. K. and Tai Ha, H: Regularity of Edge Ideals and Their Powers.- Birkenmeier, G. F., Kara, Y. and Tercan, A: A Survey of Rings Satisfying Annihilator or Extending Conditions on Projection Invariant Ideals.- Can, M. B.: Classification of Reductive Monoid Spaces Over an Arbitrary Field.- Carlson, J. F.: Computing with Matrix and Basic Algebras.- Chen, T. and Davis, R: A Product Formula for the Normalized Volume of Free Sums of Lattice Polytopes.- Drupieski, C. M. and Kujawa, J. R: On the Cohomological Spectrum and Support Varieties for Infinitesimal Unipotent Supergroup Schemes.- Huang, H.: A Survey of the Marcus-de Oliveira Conjecture.- Joyce, M.: Schubert Polynomial Analogues for Degenerate Involutions.- Koch, A., Kohl, T., Kohl, P. J. and Underwood, R: The Structure of Hopf Algebras Acting on Dihedral Extensions.- Lewis, M. L: Semi-extraspecial Groups.- Lux, K. and Ryba, A: The 3-modular Character Table of the Automorphism Group of the Sporadic Simple O'Nan Group.- Ngo, N. V.: Low Degree Cohomology of Frobenius Kernels.- Poletaeva, E.: On the Finite W-algebra for the Queer Lie Superalgebra.- Ragland, M. F.: An Alternate Proof to Derek Robinson's 1968 Local Characterization Theorem on T -groups.- Scott, L. L. and Zell, E. C: Some Tables of Right Set Properties in Affine Weyl Groups of Type A.- Zieschang, P-H.: Hypergroups All Non-Identity Elements of Which are Involutions.