| Description |
1 online resource (492 p.) |
| Series |
Springer Proceedings in Mathematics and Statistics ; v. 392 |
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Springer proceedings in mathematics & statistics ; v.392.
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| Contents |
Intro -- Organization -- Preface -- Contents -- About the Editors -- *-1.5pc Algebra -- Characterization of b-generalized Derivations in Rings with Involution -- 1 Introduction -- 2 Results -- References -- Jordan Generalized n-derivations of Unital Algebras Containing Idempotents -- 1 Introduction -- 2 Preliminaries -- 3 Multiplicative Jordan Generalized n-derivation -- 4 Applications -- References -- Variational Analysis of Approximate Defective Eigenvalues -- 1 Introduction -- 2 Approximate Multiple Eigenvalues -- 3 Approximate Defective Eigenvalues -- References |
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Structure of Prime Near Rings with Generalized Derivations -- 1 Introduction -- 2 Main Results -- References -- w-FP-projective Modules and Dimensions -- 1 Introduction -- 2 W-FP-projective Modules -- 3 The W-FP-projective Dimension of Modules and Rings -- References -- Central Values of X-generalized Skew Derivations on Right Ideals in Prime Rings -- 1 Introduction -- 2 An Auxiliary Generalized Polynomial Identity -- 3 The Case of Inner X-generalized Skew Derivations -- 4 The Main Result for Prime Rings -- 5 The Main Result -- 5.1 The Proof of Theorem 3 -- References |
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Commutative Polynomial Rings which are Principal Ideal Rings -- 1 Introduction -- 2 Structure Theorem of PIRs -- 3 Characterization of Polynomial Rings that Are PIRs -- 4 Non-principal Ideals in Some Polynomial Rings -- References -- Two Remarks on Generalized Skew Derivations in Prime Rings -- 1 Annihilating Condition for a Single Generalized Skew Derivation -- 2 Annihilating Conditions for Two Generalized Skew Derivations -- References -- Dimensional Dual Hyperovals-An Updated Survey -- 1 Introduction -- 1.1 The Definition -- 1.2 Basic Notions -- 2 DHOs over mathbbFq, q>2 |
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2.1 Odd Characteristic -- 2.2 Even Characteristic -- 3 Split DHOs and DHO Sets -- 4 DHOs with Ambient Spaces of Maximal Rank -- 4.1 Yoshiara's Upper Bound for the Rank of an Ambient Space -- 4.2 DHOs Meeting Yoshiara's (Conjectured) Bound for the Rank of an Ambient Space -- 4.3 calVn(q), calHn, calDn and calTn Are Split -- 4.4 Bilinear DHOs Whose Ambient Space Has Maximal Rank -- 5 Quotients of DHOs -- 5.1 Universal Covers -- 5.2 Quotients of the Veronesean DHOs -- 5.3 Quotients of the Huybrechts DHOs -- 5.4 Quotients of the Buratti-Del Fra DHOs -- 5.5 Quotients of the Taniguchi DHOs -- 6 Duality |
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6.1 Doubly Dual Hyperovals -- 6.2 DHOs in Polar Spaces -- 6.3 Knuth Operations -- 7 Secondary Constructions -- 7.1 Quotients of Spreads -- 7.2 Quotients of Orthogonal Spreads -- 7.3 Extensions of Bilinear DHOs -- 8 Direct Constructions -- 8.1 DHOs of Type calSc -- 8.2 DHOs Constructed with Presemifields -- 9 DHOs and Groups -- 9.1 DHOs with Many Translation Groups -- 9.2 DHOs with Many Extension Groups -- 9.3 Doubly Transitive DHOs -- 10 Miscellaneous Topics -- 10.1 Edel's Characterization of Alternating DHOs -- 10.2 Small DHOs over mathbbF2 -- References |
| Summary |
This proceedings is a collection of research papers on algebra and related topics, most of which were presented at the International Conference on Algebra and Related Topics with Applications (ICARTA-19), held at the Department of Mathematics, Aligarh Muslim University, Aligarh, India, from 1719 December 2019. It covers a wide range of topics on ring theory, coding theory, cryptography, and graph theory. In addition to highlighting the latest research being done in algebra, the book also addresses the abundant topics of algebra particularly semigroups, groups, derivations in rings, rings and modules, group rings, matrix algebra, triangular algebra, polynomial rings and lattice theory. Apart from these topics, the book also discusses applications in cryptology, coding theory, and graph theory |
| Notes |
A Note on FMS Modules and FCP Extensions |
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Online resource; title from PDF title page (SpringerLink, viewed December 13, 2022) |
| Subject |
Algebra -- Congresses
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Algebra
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��lgebra.
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| Genre/Form |
proceedings (reports)
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Conference papers and proceedings
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Conference papers and proceedings.
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Actes de congrès.
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Congressos.
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| Form |
Electronic book
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| Author |
Ashraf, Mohammad, 1959-
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Ali, Asma
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Filippis, Vincenzo de (Associate professor of algebra)
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| ISBN |
9789811938986 |
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9811938989 |
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9788981193898 |
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8981193894 |
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