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