Distributive Lattices With Unary Operations-(分配格序代数) 内容简介

　　with the development of information science and theoretical computer science, lattice-ordered algebraic structure theory has played a more and more important role in theoretical and applied science. not only is it an important branch of modern mathematics, but it also has broad and important applications in algebra, topology, fuzzy mathematics and other applied sciences such as coding theory, computer programs, multi-valued logic and science of information systems, etc. the research in distributive lattices with unary operations has made great progress in the past three decades, since joel berman first introduced the distributive lattices with an additional unary operation in 1978, which were named ockham algebras by goldberg a year later. this is due to those researchers who are working on this subject, such as adams, beazer, berman, blyth, davey, goldberg, priestley, sankappanavar and varlet.

Distributive Lattices With Unary Operations-(分配格序代数) 目录

foreword
preface
chapter 1 universal algebra and lattice-ordered algebras
1.1 universal algebra
1.2 lattice-ordered algebras
1.3 priestley duality of lattice-ordered algebras
chapter 2 ockham algebras
2.1 subclasses
2.2 the subdirectly irreducible algebras
2.3 ockham chains
2.4 the structures of finite simple ockham algebras
2.5 isotone mappings on ockham algebras
chapter 3 extended ockham algebras
3.1 definition and basic congruences
3.2 the subdirectly irreducible algebras

自然科学 数学 代数数论组合理论

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