Nearrings

Some Developments Linked to Semigroups and Groups

  • Celestina Cotti Ferrero
  • Giovanni Ferrero

Part of the Advances in Mathematics book series (ADMA, volume 4)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Celestina Cotti Ferrero, Giovanni Ferrero
    Pages 1-114
  3. Celestina Cotti Ferrero, Giovanni Ferrero
    Pages 115-203
  4. Celestina Cotti Ferrero, Giovanni Ferrero
    Pages 205-287
  5. Celestina Cotti Ferrero, Giovanni Ferrero
    Pages 289-369
  6. Celestina Cotti Ferrero, Giovanni Ferrero
    Pages 371-438
  7. Celestina Cotti Ferrero, Giovanni Ferrero
    Pages 439-482
  8. Celestina Cotti Ferrero, Giovanni Ferrero
    Pages 483-545
  9. Celestina Cotti Ferrero, Giovanni Ferrero
    Pages 547-589
  10. Back Matter
    Pages 591-611

About this book

Introduction

This work presents new and old constructions of nearrings. Links between properties of the multiplicative of nearrings (as regularity conditions and identities) and the structure of nearrings are studied. Primality and minimality properties of ideals are collected. Some types of `simpler' nearrings are examined. Some nearrings of maps on a group are reviewed and linked with group-theoretical and geometrical questions.
Audience: Researchers working in nearring theory, group theory, semigroup theory, designs, and translation planes. Some of the material will be accessible to graduate students.

Keywords

automorphism group theory homomorphism matrix Permutation polynomial semigroup

Authors and affiliations

  • Celestina Cotti Ferrero
    • 1
  • Giovanni Ferrero
    • 2
  1. 1.Facoltá di ArchitetturaUniversitá di ParmaParmaItaly
  2. 2.Dipartimento di MatematicaUniversitá di ParmaParmaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-0267-4
  • Copyright Information Springer-Verlag US 2002
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4020-0875-7
  • Online ISBN 978-1-4613-0267-4
  • About this book