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

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

Автор: Author Unknown

Издательство: North Holland

ISBN: 0720405661

Дата издания:1977-01-15

Страниц: 470

Язык:Английский

Формат:PDF

Размер:13.20 MB

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