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  • © 2002

Nearrings

Some Developments Linked to Semigroups and Groups

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

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xix
  2. Elements and Complements

    • Celestina Cotti Ferrero, Giovanni Ferrero
    Pages 1-114
  3. Constructions

    • Celestina Cotti Ferrero, Giovanni Ferrero
    Pages 115-203
  4. Regularities and More

    • Celestina Cotti Ferrero, Giovanni Ferrero
    Pages 205-287
  5. Multiplicative Identities and Commutativity Conditions

    • Celestina Cotti Ferrero, Giovanni Ferrero
    Pages 289-369
  6. Prime and Minimal Ideals

    • Celestina Cotti Ferrero, Giovanni Ferrero
    Pages 371-438
  7. Classes of “Simpler” Nearrings

    • Celestina Cotti Ferrero, Giovanni Ferrero
    Pages 439-482
  8. Selfmaps on a Group

    • Celestina Cotti Ferrero, Giovanni Ferrero
    Pages 483-545
  9. Centralizers

    • Celestina Cotti Ferrero, Giovanni Ferrero
    Pages 547-589
  10. Back Matter

    Pages 591-611

About this book

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.

Authors and Affiliations

  • Facoltá di Architettura, Universitá di Parma, Parma, Italy

    Celestina Cotti Ferrero

  • Dipartimento di Matematica, Universitá di Parma, Parma, Italy

    Giovanni Ferrero

Bibliographic Information

Buy it now

Buying options

eBook USD 219.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 279.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 279.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access