Algebra and related topics with applications : ICARTA-2019, Aligarh, India, December 17-19 / / Mohammad Ashraf, Asma Ali, Vincenzo De Filippis, editors

• Pubblicazione: Singapore : , : Springer, , [2022]; ©2022
• Descrizione fisica: 1 online resource (492 pages)
• Disciplina: 512.9
• Soggetto topico: Algebra; Àlgebra
• Soggetto genere / forma: Congressos
• Persona (resp. second.): AshrafMohammad <1959->; AliAsma; De FilippisVincenzo <1749-1799, >
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: 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 -- 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 -- 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 -- 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 -- 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 -- A Note on FMS Modules and FCP Extensions -- 1 Introduction -- 2 Results -- References -- A Pair of Derivations of Prime Rings with Involution -- 1 Some Preliminaries -- 2 Main Results -- References -- Basic One-Sided Ideals of Leavitt Path Algebras over Commutative Rings -- 1 Introduction -- 2 Preliminaries and Notation -- 3 Basic One-Sided Ideals -- 4 Minimal Basic Left Ideals Generated by a Vertex -- References -- On Certain *-differential Identities in Prime Rings with Involution -- 1 Introduction -- 2 The Main Results -- References -- On b-Generalized Derivations in Prime Rings -- 1 Introduction and Notations -- 2 The Results -- References -- Commutativity of ast-Prime Rings with Generalized Derivations on ast-Jordan Ideals -- 1 Introduction -- 2 Auxiliary Lemmas -- 3 Main Results -- 4 Examples -- References. ; Local Subsemigroups and Variants of Some Classes of Semigroups -- 1 Preliminaries -- 2 Local Subsemigroups and Variants of Full Transformation Semigroups -- 3 Variants of Symmetric Inverse Monoids -- 4 Local Subsemigroups and Variants of Symmetric Inverse Monoids -- References -- Closed Weak Supplemented Lattices -- 1 Introduction -- 2 Preliminaries -- 3 Closed Weak Supplemented Lattices -- References -- On Compatible Ring Structures of the Injective Hull of a Ring -- 1 Introduction -- 2 Essential Overrings Versus Rings of Quotients -- 3 More on Compatible Ring Structures of E(RR) -- References -- On Commutators Involving Derivations and Automorphisms in Prime Rings -- 1 Motivation -- 2 Preliminaries and Results -- References -- Modules Invariant Under Clean Endomorphisms of Their Injective Hulls -- 1 Introduction -- 2 Clean-Invariant Modules -- References -- A Note on Central Idempotents in Finite Group Rings of Symmetric Groups -- 1 Introduction -- 2 Proof (Theorem 1) -- References -- Jordan Product Preserving Generalized Skew Derivations on Lie Ideals -- 1 Introduction -- 2 Inner Generalized Skew Derivations -- 2.1 Proof of Proposition 2 -- 3 The Proof of Theorem 1 -- 3.1 Proof of Theorem 1 -- References -- Prime Rings with Generalized Derivations and Power Values on Lie Ideals -- 1 Introduction -- 2 Preliminary Results -- 3 When mathscrT Is Generalized Inner Derivations -- 4 The Study of General Case -- References -- *-1.5pc Coding Theory -- On the Purity of Resolutions of Stanley-Reisner Rings Associated to Reed-Muller Codes -- 1 Introduction -- 2 Reed-Muller Codes -- 3 Characterizations of Purity -- References -- Skew Constacyclic Codes over Fq+vFq -- 1 Introduction -- 2 Preliminaries -- 3 Gray Map and Linear Codes over R -- 4 v-Skew Constacyclic Codes over R -- 5 Applications -- 6 Conclusion -- References. ; Cyclic and LCD Codes over a Finite Commutative Semi-local Ring -- 1 Introduction -- 2 Basic Facts and Gray Map -- 3 Linear Codes over mathfrakR -- 4 Cyclic Codes over mathfrakR -- 5 LCD Codes over mathfrakR -- 6 Conclusion -- References -- *-1.5pc Graph Theory -- Some Recent Results on the Graphs of Finite-Dimensional Vector Spaces -- 1 Definitions and Preliminaries -- 2 Introduction -- 3 Non-zero Component Graphs on Finite-Dimensional Vector Spaces -- 4 Non-zero Component Union Graph of a Finite-Dimensional Vector Space -- 5 Distinct Component Graph on Finite-Dimensional Vector Space -- 6 Component Intersection Graphs on Finite-Dimensional Vector Spaces -- 7 Subspace Inclusion Graph mathcalIn(mathbbV) -- References -- Two Value Graph Magma Algebras and Amenability -- 1 Introduction -- 2 Preliminaries -- 3 Two Value Graph Magma Algebras -- 4 Commutative Two Value Graph Magmas -- 5 Amenable Bases for Commutative Two Value Graph Magma Algebras -- 6 Further Results on Commutative Two Value Graph Magma Algebras -- References -- Graph of Linear Transformations Over mathbbR -- 1 Introduction -- 2 Results -- References -- On Distance Laplacian (Signless) Eigenvalues of Commuting Graphs of Dihedral and Dicyclic Groups -- 1 Introduction -- 2 Distance Laplacian Spectra of the Commuting Graphs of D2n and Q4n -- 3 Distance Signless Laplacian Spectra of the Commuting Graphs of D2n and Q4n -- References -- Spectrum of Graphs over Rings: A Survey -- 1 Introduction -- 2 Spectrum of Graphs Associated to Rings -- 2.1 Zero-Divisor Graphs -- 3 Laplacian Spectrum of Graphs Associated to Rings -- 3.1 Unitary Cayley Graphs -- 3.2 Unit Graphs and Total Graphs -- References -- On a New Extension of Annihilating-Ideal Graph of Commutative Rings -- 1 Introduction -- 2 Connectedness of Extended Sum Annihilating-Ideal Graph. ; 3 Extended Sum Annihilating-Ideal Graph as Some Special Type of Graphs -- 4 Genus of Extended Sum Annihilating-Ideal Graph -- References -- Spectrum of the 3-zero-divisor Hypergraph of Some Classes of Local Rings -- 1 Introduction -- 2 Adjacency Matrix of mathcalH3(mathbbZpn) -- 3 Spectrum of mathcalH3(R) -- 4 Laplacian Spectrum of mathcalH3(R) -- References -- Complement of the Generalized Total Graph of Commutative Rings - A Survey -- 1 Introduction -- 2 Additive Graphs from Commutative Rings -- 3 Generalized Total Graphs -- 4 Complement of the Generalized Total Graph -- 5 Complement of the Generalized Total Graph of mathbbZn -- 6 Domination Properties of overlineGTP(mathbbZn) -- 7 Complement of the Generalized Total Graph of Fields -- References.
• Titolo autorizzato: Algebra and related topics with applications
• ISBN: 981-19-3898-9
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910633922503321
• Lo trovi qui: Univ. Federico II
• Serie: Springer proceedings in mathematics & statistics ; ; Volume 392.