Near-rings : the theory and its applications, Volume 23 (North-Holland Mathematics Studies) - ISBN:0720405661

Near-rings : the theory and its applications, Volume 23 (North-Holland Mathematics Studies)

Date: 11 April 2011, 18:09

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Part I: Near-Rings for Beginners
Chapter § 1 The Elementary Theory of Near-Rings
a) Fundamental Definitions and Properties
b) Constructions
c) Embeddings
d) Some Axiomatic Considerations
Chapter § 2 Ideal Theory
a) Sums
b) Chain Conditions
c) Decomposition Theorems
d) Prime Ideals
e) Nil and Nilpotent
PART ll: Structure Theory
Chapter § 3 Elements of the Structure Theory
a) Types of N-Groups
b) Change of the Near-Ring
c) Modularity
d) Quasiregularity
e) Idempotents
f) More on Minimality
Chapter § 4 Primitive Near-Rings
a) General
b) 0-Primitive Near-Rings
C) 1-Primitive Near-Rings
d) 2-Primitive Near-Rings
Chapter § 5 Radical Theory
a) Jacobson-Typs Radicals: Common Theory
b) Jacobson-Type Radicals: Special Theory
c ) The Nil Radical
d) The Prime Radical
e) Concluding Remarks
Part III: Special Classes of Near-Rings
Chapter § 6 Distributively Generated Near-Rings
a ) Elementary
b) Some Axiomatics
C) Constructions of D.G. Near-Rings
D) Distributively Generated Near-Rings with Finiteness Conditions
E) "Free" Distributively Generated Near-Rings
f ) D-Groups and (N,D)-Groups
g) Structure Theory
Chapter § 7 Transformation Near-Rings
a) MOH(G)
b) MOH(G)
c) E(G), A(G) AND I(G)
d) Polynomial Near-Rings
Chapter § 8 Near-Fields and Planar Near-Rings
a) Near-Fields
b) Planar Near-Rings
Chapter § 9 More Classes of Near-Rings
Appendix

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