Monsoon 发表于 2025-3-21 19:17:19

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hankering 发表于 2025-3-21 21:47:33

Michael Hild,Wolfgang LängsfeldThe two typical examples of nondistributive lattices are . and . whose diagrams are given in Figure 1.

abolish 发表于 2025-3-22 02:30:28

Christian Klein,Christian EndresLet ., ., and . be elements of a lattice .; if, for any congruence relation Θ of . ≡ . (Θ) implies that . ≡ . (Θ), then we can say that “. ≡ . forces . ≡ .” It is necessary to understand “forcing” in order to study the structure of congruence relations of lattices; this will be accomplished in the present section.

inscribe 发表于 2025-3-22 08:02:02

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有角 发表于 2025-3-22 12:05:03

First Concepts,Whereas the arithmetical properties of the set of reals . can be expressed in terms of addition and multiplication, the order theoretic, and thus the topological, properties are expressed in terms of the ordering relation ≤. The basic properties of this relation are as follows.

欺骗世家 发表于 2025-3-22 14:08:18

Distributive Lattices,The two typical examples of nondistributive lattices are . and . whose diagrams are given in Figure 1.

欺骗世家 发表于 2025-3-22 19:55:29

Congruences and Ideals,Let ., ., and . be elements of a lattice .; if, for any congruence relation Θ of . ≡ . (Θ) implies that . ≡ . (Θ), then we can say that “. ≡ . forces . ≡ .” It is necessary to understand “forcing” in order to study the structure of congruence relations of lattices; this will be accomplished in the present section.

浪费时间 发表于 2025-3-22 23:33:30

Modular and Semimodular Lattices,The modular identity is unquestionably the most important identity apart from the distributive identity. In this section we examine the most important consequences of modularity.

领袖气质 发表于 2025-3-23 02:49:25

Springer Basel AG 1978

DRAFT 发表于 2025-3-23 08:46:40

Overview: 978-3-0348-7633-9
页: [1] 2 3 4
查看完整版本: Titlebook: General Lattice Theory; George Grätzer Book 19781st edition Springer Basel AG 1978 Lattice.algebra.attention.research