Near-Rings: The Theory and its Applications [Revised] 9780720405668, 0720405661

Pilz G. Near-rings (1977)(ISBN 0720405661)(O)(487s)

402 18 2MB

English Pages iii-xii, 1-470 [487] Year 1977

Table of contents :
Content:
Edited by
Page iii

Copyright page
Page iv

Dedication
Page v

Interdependence Guide
Page vi

Preface to the Second Edition
Page vii

From the Preface to the First Edition
Pages ix-xii
Günter Pilz

§ 0 Prerequisites
Pages 1-4

§ 1 The Elementary Theory of Near-Rings
Pages 6-42

§ 2 Ideal Theory
Pages 43-72

§ 3 Elements of the Structure Theory
Pages 74-101

§ 4 Primitive Near-Rings
Pages 102-134

§ 5 Radical Theory
Pages 135-168

§ 6 Distributively Generated Near-Rings
Pages 170-187

§ 7 Transformation Near-Rings
Pages 188-247

§ 8 Near-Fields and Planar Near-Rings
Pages 248-286

§ 9 More Classes of Near-Rings
Pages 287-403

Near-Rings of Low Order
Pages 405-425

222 Remarkable Examples and Counterexamples
Pages 426-434

List of Some Open Problems
Pages 435-436

Bibliography
Pages 437-463

Supplementary Works
Page 464

List of Symbols and Abbreviations
Pages 465-466

Index
Pages 467-470

Near-Rings: The Theory and its Applications [Revised]
9780720405668, 0720405661

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Günter Pilz (Eds.)

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