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Table of Contents
Preface; Contents; Editors and Contributors; On Some Classes of Module Hulls; 1 Introduction; 2 Quasi-Injective, Continuous, Quasi-Continuous, Extending, and FI-Extending Hulls; 3 Baer Modules; 4 Baer Module Hulls; References; Spined Product Decompositions of Orthocryptogroups; 1 Introduction; 2 Internal Spined Products; 3 Internal Spined Products of Orthocryptogroups; 4 Spined Product Decompositions; 5 Completely Reducible Orthocryptogroups; References; Generalized Skew Derivations and g-Lie Derivations of Prime Rings; 1 Introduction; 2 Preliminaries.
3 The Case of Inner Generalized Skew Derivations4 The Proof of Theorem 1; References; Additive Representations of Elements in Rings: A Survey; 1 Additive Unit Representation; 1.1 Additive Unit Representation of Rings of Integers of Number Fields; 1.2 Further Generalizations of Zelinsky's Result; 2 Additive Idempotent Representation; 2.1 Clean Rings; 3 Some Other Additive Representations; 3.1 Additive Regular Representation; 3.2 Additive Commutator Representation; References; Notes on Commutativity of Prime Rings; 1 Introduction; 2 Main Results; References.
Generalized Derivations on Rings and Banach Algebras1 Introduction; 2 Proof of the Main Results; References; A Study of Suslin Matrices: Their Properties and Uses; 1 Introduction; 2 The Suslin Matrices; 3 Study of the Suslin Matrix; References; Variations on the Grothendieck
Serre Formula for Hilbert Functions and Their Applications; 1 Introduction; 2 Variations on the Grothendieck
Serre Formula; 3 Formulas for Local Cohomology Modules; 4 The Postulation Number and the Reduction Number; 5 Nonnegativity and Vanishing of Hilbert Coefficients.
6 Huneke
Ooishi Theorem and a Multi-graded VersionReferences; de Rham Cohomology of Local Cohomology Modules; 1 Introduction; 2 Preliminaries; 3 Some Computations; 4 Proof of Theorem2; 5 Some Computations-II; 6 Proof of Theorem3; 7 Proof of Theorem4; 8 Elementary Proof of an Analogue of Theorem1 in the Polynomial Ring Case; 9 Proof of Theorem1; References; Central Quotient Versus Commutator Subgroup of Groups; 1 Introduction; 2 Proofs; 3 Groups with Maximal Central Quotient; 4 Problems and Examples; References.
Robinson
Schensted Correspondence for the Walled Brauer Algebras and the Walled Signed Brauer Algebras1 Introduction; 2 Preliminaries; 2.1 Basic Definitions and Results; 2.2 Walled Brauer Algebras; 2.3 Walled Signed Brauer Algebras; 3 The Robinson
Schensted Correspondence for the Walled Brauer Algebras; 3.1 The Robinson
Schensted Correspondence; 3.2 The Knuth relations; 3.3 The Determinantal Formula; 4 The Robinson
Schensted Correspondence for the Walled Signed Brauer Algebras; 4.1 The Robinson
Schensted Correspondence; 4.2 The Knuth relations; 4.3 The Determinantal Formula.
3 The Case of Inner Generalized Skew Derivations4 The Proof of Theorem 1; References; Additive Representations of Elements in Rings: A Survey; 1 Additive Unit Representation; 1.1 Additive Unit Representation of Rings of Integers of Number Fields; 1.2 Further Generalizations of Zelinsky's Result; 2 Additive Idempotent Representation; 2.1 Clean Rings; 3 Some Other Additive Representations; 3.1 Additive Regular Representation; 3.2 Additive Commutator Representation; References; Notes on Commutativity of Prime Rings; 1 Introduction; 2 Main Results; References.
Generalized Derivations on Rings and Banach Algebras1 Introduction; 2 Proof of the Main Results; References; A Study of Suslin Matrices: Their Properties and Uses; 1 Introduction; 2 The Suslin Matrices; 3 Study of the Suslin Matrix; References; Variations on the Grothendieck
Serre Formula for Hilbert Functions and Their Applications; 1 Introduction; 2 Variations on the Grothendieck
Serre Formula; 3 Formulas for Local Cohomology Modules; 4 The Postulation Number and the Reduction Number; 5 Nonnegativity and Vanishing of Hilbert Coefficients.
6 Huneke
Ooishi Theorem and a Multi-graded VersionReferences; de Rham Cohomology of Local Cohomology Modules; 1 Introduction; 2 Preliminaries; 3 Some Computations; 4 Proof of Theorem2; 5 Some Computations-II; 6 Proof of Theorem3; 7 Proof of Theorem4; 8 Elementary Proof of an Analogue of Theorem1 in the Polynomial Ring Case; 9 Proof of Theorem1; References; Central Quotient Versus Commutator Subgroup of Groups; 1 Introduction; 2 Proofs; 3 Groups with Maximal Central Quotient; 4 Problems and Examples; References.
Robinson
Schensted Correspondence for the Walled Brauer Algebras and the Walled Signed Brauer Algebras1 Introduction; 2 Preliminaries; 2.1 Basic Definitions and Results; 2.2 Walled Brauer Algebras; 2.3 Walled Signed Brauer Algebras; 3 The Robinson
Schensted Correspondence for the Walled Brauer Algebras; 3.1 The Robinson
Schensted Correspondence; 3.2 The Knuth relations; 3.3 The Determinantal Formula; 4 The Robinson
Schensted Correspondence for the Walled Signed Brauer Algebras; 4.1 The Robinson
Schensted Correspondence; 4.2 The Knuth relations; 4.3 The Determinantal Formula.