格论导引 (Introduction to Lattice Theory)

ebook ∣ 现代数学基础 (Fundamentals of Modern Mathematics)

By 方捷
cover image of 格论导引 (Introduction to Lattice Theory)

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本书讲述格论的基本概念与基础知识。其基本内容涵盖:有序集、保序映射、格与半格、完全格、理想与同态、格同余等基本概念;模格与半模格;分配格;有补格与布尔代数;伪补代数;Heyting代数(或称剩余格);de Morgan代数;Priestley拓扑对偶理论。

This book discusses the basic concepts and knowledge of lattice theory. Its basic content covers basic concepts such as ordered sets, ordered mappings, lattices and semi lattices, complete lattices, ideals and homomorphisms, lattice congruence, etc; Modular and semi modular grids; Allocation grid; Complementary lattices and Boolean algebras; Pseudo complementary algebra; Heyting algebra (also known as residual lattice); De Morgan algebra; Priestley's theory of topological duality.

格论导引 (Introduction to Lattice Theory)