Contributions in Algebra and Algebraic Geometry.
Dani, Shrikrishna G.
Contributions in Algebra and Algebraic Geometry. - 1st ed. - 1 online resource (160 pages) - Contemporary Mathematics Series ; v.738 . - Contemporary Mathematics Series .
Cover -- Title page -- Contents -- Preface -- Leavitt path algebras over a poset of fields -- Introduction -- 1. Preliminary definitions -- 2. The results -- References -- Roots of elements in Lie groups and the exponential maps -- 1. Introduction -- 2. A brief introduction to Lie groups -- 3. Criteria for exponentiality of elements and cosets -- 4. Complements -- References -- A note on Nullstellensatz over finite fields -- 1. Introduction -- 2. The Affine Case -- 3. Projective Version -- Acknowledgements -- References -- Minkowski inequality and equality for multiplicity of ideals of finite length in Noetherian local rings -- 1. Introduction -- 2. C.P. Ramanujam's result, Teissier's Conjecture and a related inequality -- 3. Bhattacharya function of two ideals -- 4. Minkowski's equality for multiplicity of ideals in one-dimensional local rings -- 5. Teissier's approach to Minkowski's inequalities -- 6. Rees-Sharp proof of Minkowski's inequalities -- 7. Complete ideals and discrete valuation rings -- 8. Minkowski equality in dimension two -- 9. Minkowski's equality in dimension ≥3 -- References -- Decomposition of singular elements of an algebra into product of idempotents, a survey -- Introduction -- 1. Singular matrices over general rings -- 2. Matrices over division rings or local rings -- 3. Quasi-Euclidean domains -- 4. Hannah and O'Meara -- 5. Nonnegative Matrices -- References -- Some results on integrally closed domains -- 1. Introduction -- 2. Some Definitions. -- 3. Proof of Theorems 1.1, 1.2. -- References -- On Examples of Baer and Rickart Module Hulls -- 1. Introduction -- 2. Baer and Rickart Modules -- 3. Baer Module Hulls, Rickart Module Hulls, and Examples -- References -- Tableau correspondences and representation theory -- 1. Introduction -- 2. Semistandard Young Tableaux and Schur Polynomials. 3. Polynomial Representations of \gl -- 4. The RSK Correspondence and its Dual -- 5. The Burge Correspondence -- 6. Two more correspondences of Burge -- 7. Representations of Symmetric Groups -- References -- A relationship between Gelfand-Tsetlin bases and Chari-Loktev bases for irreducible finite dimensional representations of special linear Lie algebras -- 1. Introduction -- 2. Notation and terminology -- 3. Patterns -- 4. The Gelfand-Tsetlin (GT) basis for ( ) -- 5. The Chari-Loktev (CL) basis for ( ) -- 6. Triangular relationship between GT and CL bases of \Vlambda -- 7. An example illustrating Theorem 4 -- References -- References -- Algebra of generic matrices is not coherent -- 1. Introduction -- 2. Proofs -- Acknowledgements -- References -- Partial endomorphisms of almost self injective modules -- Introduction -- 1. Preliminaries -- 2. Partial Homomorphisms -- 3. Artinian Serial Rings -- Acknowledgement -- References -- Back Cover.
This volume contains the proceedings of the International Conference on Algebra, Discrete Mathematics and Applications, held from December 9-11, 2017, at Dr. Babasaheb Ambedkar Marathwada University, Aurangabad (Maharashtra), India. Contemporary topics of research in algebra and its applications to algebraic geometry, Lie groups, algebraic combinatorics, and representation theory are covered. The articles are devoted to Leavitt path algebras, roots of elements in Lie groups, Hilbert's Nullstellensatz, mixed multiplicities of ideals, singular matrices, rings of integers, injective hulls of modules, representations of linear, symmetric groups and Lie algebras, the algebra of generic matrices and almost injective modules.
9781470455347
Algebra-Congresses.
Geometry, Algebraic-Congresses.
Electronic books.
QA150 .C668 2019
512
Contributions in Algebra and Algebraic Geometry. - 1st ed. - 1 online resource (160 pages) - Contemporary Mathematics Series ; v.738 . - Contemporary Mathematics Series .
Cover -- Title page -- Contents -- Preface -- Leavitt path algebras over a poset of fields -- Introduction -- 1. Preliminary definitions -- 2. The results -- References -- Roots of elements in Lie groups and the exponential maps -- 1. Introduction -- 2. A brief introduction to Lie groups -- 3. Criteria for exponentiality of elements and cosets -- 4. Complements -- References -- A note on Nullstellensatz over finite fields -- 1. Introduction -- 2. The Affine Case -- 3. Projective Version -- Acknowledgements -- References -- Minkowski inequality and equality for multiplicity of ideals of finite length in Noetherian local rings -- 1. Introduction -- 2. C.P. Ramanujam's result, Teissier's Conjecture and a related inequality -- 3. Bhattacharya function of two ideals -- 4. Minkowski's equality for multiplicity of ideals in one-dimensional local rings -- 5. Teissier's approach to Minkowski's inequalities -- 6. Rees-Sharp proof of Minkowski's inequalities -- 7. Complete ideals and discrete valuation rings -- 8. Minkowski equality in dimension two -- 9. Minkowski's equality in dimension ≥3 -- References -- Decomposition of singular elements of an algebra into product of idempotents, a survey -- Introduction -- 1. Singular matrices over general rings -- 2. Matrices over division rings or local rings -- 3. Quasi-Euclidean domains -- 4. Hannah and O'Meara -- 5. Nonnegative Matrices -- References -- Some results on integrally closed domains -- 1. Introduction -- 2. Some Definitions. -- 3. Proof of Theorems 1.1, 1.2. -- References -- On Examples of Baer and Rickart Module Hulls -- 1. Introduction -- 2. Baer and Rickart Modules -- 3. Baer Module Hulls, Rickart Module Hulls, and Examples -- References -- Tableau correspondences and representation theory -- 1. Introduction -- 2. Semistandard Young Tableaux and Schur Polynomials. 3. Polynomial Representations of \gl -- 4. The RSK Correspondence and its Dual -- 5. The Burge Correspondence -- 6. Two more correspondences of Burge -- 7. Representations of Symmetric Groups -- References -- A relationship between Gelfand-Tsetlin bases and Chari-Loktev bases for irreducible finite dimensional representations of special linear Lie algebras -- 1. Introduction -- 2. Notation and terminology -- 3. Patterns -- 4. The Gelfand-Tsetlin (GT) basis for ( ) -- 5. The Chari-Loktev (CL) basis for ( ) -- 6. Triangular relationship between GT and CL bases of \Vlambda -- 7. An example illustrating Theorem 4 -- References -- References -- Algebra of generic matrices is not coherent -- 1. Introduction -- 2. Proofs -- Acknowledgements -- References -- Partial endomorphisms of almost self injective modules -- Introduction -- 1. Preliminaries -- 2. Partial Homomorphisms -- 3. Artinian Serial Rings -- Acknowledgement -- References -- Back Cover.
This volume contains the proceedings of the International Conference on Algebra, Discrete Mathematics and Applications, held from December 9-11, 2017, at Dr. Babasaheb Ambedkar Marathwada University, Aurangabad (Maharashtra), India. Contemporary topics of research in algebra and its applications to algebraic geometry, Lie groups, algebraic combinatorics, and representation theory are covered. The articles are devoted to Leavitt path algebras, roots of elements in Lie groups, Hilbert's Nullstellensatz, mixed multiplicities of ideals, singular matrices, rings of integers, injective hulls of modules, representations of linear, symmetric groups and Lie algebras, the algebra of generic matrices and almost injective modules.
9781470455347
Algebra-Congresses.
Geometry, Algebraic-Congresses.
Electronic books.
QA150 .C668 2019
512