3 options
Axioms for lattices and boolean algebras / R. Padmanabhan, S. Rudeanu.
- Format:
- Book
- Author/Creator:
- Padmanabhan, R. (Ranganathan), 1938-
- Language:
- English
- Subjects (All):
- Lattice theory.
- Algebra, Boolean.
- Axioms.
- Physical Description:
- 1 online resource (228 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Hackensack, NJ : World Scientific, c2008.
- Language Note:
- English
- Summary:
- The importance of equational axioms emerged initially with the axiomatic approach to Boolean algebras, groups, and rings, and later in lattices. This unique research monograph systematically presents minimal equational axiom-systems for various lattice-related algebras, regardless of whether they are given in terms of "join and meet" or other types of operations such as ternary operations. Each of the axiom-systems is coded in a handy way so that it is easy to follow the natural connection among the various axioms and to understand how to combine them to form new axiom systems.A new topic in t
- Contents:
- 1. Semilattices and lattices
- 2. Modular lattices
- 3. Distributive lattices
- 4. Boolean algebras
- 5. Further topics and open problems.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references (p. 193-210) and index.
- ISBN:
- 9789812834553
- 9812834559
- OCLC:
- 820944613
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.