Semihypergroup theory. (2016)

• Record Type: Book
• Further Information: Note: Bijan Davvaz.
• Authors: Davvaz, Bijan
• Contents: 1. A brief excursion into semigroup theory; 1.1 Basic definitions and examples; 1.2 Divisibility of elements; 1.3 Regular and inverse semigroups; 1.4 Subsemigroups, ideals, bi-ideals and quasi-ideals; 1.5 Homomorphisms; 1.6 Congruence relations and isomorphism theorems; 1.7 Green's relations; 1.8 Free semigroups; 1.9 Approximations in a semigroup; 1.10 Ordered semigroups; 2. Semihypergroups; 2.1 History of algebraic hyperstructures; 2.2 Semihypergroup and examples; 2.3 Regular semihypergroups; 2.4 Subsemihypergroups and hyperideals; 2.5 Quasi-hyperideals; 2.6 Prime and semiprime hyperideals; 2.7 Semihypergroup homomorphisms; 2.8 Regular and strongly regular relations; 2.9 Simple semihypergroups; 2.10 Cyclic semihypergroups; 3. Ordered semihypergroups; 3.1 Basic definitions and examples; 3.2 Prime hyperideals of the Cartesian product; 3.3 Right simple ordered semihypergroups; 3.4 Ordered semigroups derived from ordered semihypergroups; 4. Fundamental relations; 4.1 The beta- relation; 4.2 Complete parts; 4.3 The transitivity of the relation beta in semihypergroups; 4.4 The alpha relation
• Publisher Details: Amsterdam : Academic Press
• Publication Date: 2016
• Extent: 1 online resource
• Subjects: 512.2; Semigroups; Hypergroups
• Languages: English
• ISBNs: 9780128099254
• Related ISBNs: 9780128098158
• Notes: Note: Description based on CIP data; item not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.