rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Hoop algebras
    sub title: an introduction
  name:
    name part: Dvurečenskij, Anatolij
    name part: 1949-
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Zahiri, Omid
    role:
      role term: author.
  name:
    name part: Aaly Kologani, Mona
    role:
      role term: author.
  name:
    name part: Borzooei, Rajab Ali
    role:
      role term: author.
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: sz
    date issued: 2026
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xv, 363 pages) : illustrations (some color).
  abstract: This book offers a comprehensive and in-depth exploration of hoop theory, a fascinating branch of algebra with deep connections to logic and other areas of mathematics. Among algebraic structures, hoops stand out as a rich subject of study, bridging the worlds of residuated lattices, BL-algebras, MV-algebras, and related systems. Starting with fundamental concepts of algebraic and lattice-theoretical structures, the book gradually delves into the core theory of hoops, investigating their algebraic structure, properties, and relationships with other algebraic systems. Significant attention is also devoted to the lattice-theoretical properties of hoops, and the interplay between algebraic and logical perspectives is emphasized. This book is intended for advanced undergraduates with a background in algebra and logic, Ph.D. students, and researchers. Featuring a number of examples and exercises, it serves as a valuable resource for those seeking a comprehensive and in-depth understanding of hoop theory and its applications.
  table of contents: Chapter 1. Basic notions -- Chapter 2. Pocrims and Related Structures -- Chapter 3. Structure of hoops -- Chapter 4. Filters and congruences of hoops -- Chapter 5. Algebraic structures related to hoops -- Chapter 6. Lattice-theoretical properties -- Chapter 7. State hoops -- Chapter 8. Appendix A - A trip into non-commutative structures -- Chapter 9. Appendix B.
  note: Anatolij Dvurečenskij, Omid Zahiri, Mona Aaly Kologani, Rajab Ali Borzooei.
  note: Includes bibliographical references and index.
  subject:
    topic: Ordered algebraic structures
  subject:
    topic: Algebra
  subject:
    topic: Structures algébriques ordonnées
  subject:
    topic: Algèbre
  subject:
    topic: algebra
  classification: QA172 .D88 2026
  classification: 511.3/3
  related item:
    identifier: (OCoLC)1545570861
  related item:
    title info:
      title: Hoop Algebras
    name:
      name part: Dvurečenskij, Anatolij
    origin info:
      publisher: Cham : Springer Basel AG,c2026
  related item:
    title info:
      title: Frontiers in mathematics
  identifier: 9783032117366 (electronic bk.)
  identifier: 3032117364
  identifier: 9783032117359
  identifier: 3032117356
  location:
    physical location: POD
  record info:
    record content source: GW5XE
    record creation date: 260313
    record change date: 20260406152304.8
    record identifier: in00005777668
    language of cataloging:
      language term: eng