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Conference Southern Regional Algebra Conference (2017 : Mobile, Ala.)
Title Advances in Algebra : SRAC 2017, Mobile, Alabama, USA, March 17-19 / ditors, Jorg Feldvoss, Lauren Grimley, Drew Lewis, Andrei Pavelescu and Cornelius Pillen.
Imprint Cham, Switzerland : Springer, [2019]

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Conference Southern Regional Algebra Conference (2017 : Mobile, Ala.)
Series Springer proceedings in mathematics & statistics ; volume 277.
Springer proceedings in mathematics & statistics ; v. 277.
Subject Algebra -- Congresses.
Alt Name Feldvoss, Jörg, 1960-
Grimley, Lauren,
Lewis, Drew, 1931-2016,
Pavelescu, Andrei,
Pillen, Cornelius, 1959-
Description 1 online resource.
Bibliography Note Includes bibliographical references.
Note Online resource; title from PDF title page (EBSCO, viewed March 1, 2019).
Contents Intro; Preface; Acknowledgements; Contents; Contributors; Hattori-Torsion-Freeness and Endomorphism Rings; 1 Introduction; 2 H-Torsion-Freeness and P.P-Rings; 3 Quasi-Flatness and H-Torsion-Freeness; 4 Non-singular Endomorphism Rings; References; Regularity of Edge Ideals and Their Powers; 1 Introduction; 2 Preliminaries; 2.1 Combinatorial Preliminaries; 2.2 Algebraic Preliminaries; 2.3 Algebraic Objects with Underlying Combinatorial Structures; 3 Formulas and Inductive Approaches; 3.1 Hochster's and Takayama's Formulas; 3.2 Inductive Techniques; 4 Regularity of Edge Ideals
3.2 Lyndon-Hochschild-Serre Spectral Sequences3.3 Support Sets for Modules; 3.4 Support Varieties in Height One; 3.5 Applications of the BIKP Detection Theorem; References; A Survey of the Marcus-de Oliveira Conjecture; 1 Introduction; 2 Confirmed Cases of the MOC; 2.1 Degree; 2.2 Eigenvalues; 2.3 Other Cases; 3 Properties of Δ(A, B); 4 Extensions; References; Schubert Polynomial Analogues for Degenerate Involutions; 1 Introduction; 2 Notation and Conventions; 3 K-Schubert Polynomials; 4 Factorization Results for Involution Schubert Polynomials; 4.1 Permutations; 4.2 Involutions
4.1 Lower and Upper Bounds4.2 Exact Values; 5 Regularity of Powers of Edge Ideals; 5.1 Lower and Upper Bounds; 5.2 Exact Values; 6 Higher Dimension; 6.1 Stanley-Reisner Ideals; 6.2 Hypergraphs; 6.3 Path Ideals; 7 Open Problems and Questions; References; A Survey of Rings Satisfying Annihilator or Extending Conditions on Projection Invariant Ideals; 1 Introduction; 2 Projection Invariance; 3 Projection Invariant Extending; 4 Projection Invariant Baer Rings; References; Classification of Reductive Monoid Spaces over an Arbitrary Field; 1 Introduction; 2 Notation and Preliminaries; 2.1 Schemes
2.2 Algebraic Spaces2.3 Group Schemes; 2.4 Reductive Group Schemes; 2.5 Parabolic Subgroups; 2.6 Actions of Group Schemes; 3 Algebraic Monoids; 4 From Spherical Varieties to Spherical Spaces; 4.1 Quasi-projective Colored Fans; 4.2 Spherical Spaces over Arbitrary Fields; 5 Reductive Monoids over Arbitrary Fields; 5.1 k-Forms of Lined Closures; References; Computing with Matrix and Basic Algebras; 1 Introduction; 2 Basics and Algebras; 3 How Do We Do Condensation?; 4 What Is a Basic Algebra in the Computational Setting?; 5 A Couple of Problems; References
A Product Formula for the Normalized Volume of Free Sums of Lattice Polytopes1 Introduction; 2 Preliminaries; 3 Proofs of the Main Results; References; On the Cohomological Spectrum and Support Varieties for Infinitesimal Unipotent Supergroup Schemes; 1 Introduction; 1.1 Overview; 1.2 Organization of the Paper; 1.3 Conventions; 2 Varieties of Homomorphisms; 2.1 Elementary Supergroup Schemes; 2.2 Homomorphisms Between Infinitesimal Elementary Supergroups; 2.3 Commuting Nilpotent Supermatrices; 2.4 Universal Homomorphisms; 3 Cohomology and Support Varieties; 3.1 Induced Maps in Cohomology
Summary 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.
ISBN 9783030115210 (electronic bk.)
3030115216 (electronic bk.)
9783030115227 (print)
ISBN/ISSN 10.1007/978-3-030-11521-0
OCLC # 1088722693
Additional Format Print version: Southern Regional Algebra Conference (2017 : Mobile, Ala.). Advances in Algebra. Cham, Switzerland : Springer, [2019] 3030115208 9783030115203 (OCoLC)1078879298.

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