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Nearrings

Some Developments Linked to Semigroups and Groups

  • Book
  • © 2002

Overview

Authors:
  1. Celestina Cotti Ferrero

    1. Facoltá di Architettura, Universitá di Parma, Parma, Italy

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    You can also search for this author in PubMed   Google Scholar

  2. Giovanni Ferrero

    1. Dipartimento di Matematica, Universitá di Parma, Parma, Italy

    View author publications

    You can also search for this author in PubMed   Google Scholar

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
    Download chapter PDF

  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
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Keywords

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

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