Hoop Algebras - 9783032117359

Hoop AlgebrasAn Introduction\nAuthor(s): Anatolij Dvure?enskij, Omid Zahiri, Mona Aaly Kologani, Rajab Ali Borzooei\nFormat: Paperback\nPublisher: Springer Nature Switzerland AG, Switzerland\nImprint: Birkhauser\nISBN-13: 9783032117359, 978-3032117359\nSynopsis\nThis 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.\n\nStarting 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 emphasiz.