ectropion 发表于 2025-3-28 14:44:31

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标准 发表于 2025-3-28 19:05:14

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钩针织物 发表于 2025-3-29 01:21:56

Socle. Torsion lattices,Let . be a lattice with zero.

Contend 发表于 2025-3-29 04:02:22

Independence. Semiatomic lattices,A subset {..}. of non-zero elements of a complete lattice . (with 0) is called . if for every . the equality . holds. In this case we use the notation . and we call this join a ..

故意 发表于 2025-3-29 08:14:33

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吹牛者 发表于 2025-3-29 13:32:15

Lattices of finite uniform dimension,An element . is called . (or . ) if for every . the following implication holds: 0 < . ≤ ., 0 < . ≤ . ⇒ . ≠ 0 (i.e., all non-zero elements from ./0 are essential in ./0).

会议 发表于 2025-3-29 18:42:04

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安抚 发表于 2025-3-29 23:07:25

Coatomic lattices,The interest in coatomic lattices goes back to H. Bass (in 1960) who defined B-objects, i.e., modules . such that every submodule . is contained in a maximal submodule.

反馈 发表于 2025-3-30 03:43:07

,Co—compact lattices,A complete lattice . is called . (or . in ) if for every subset . of . such that Λ . = 0 there is a finite subset . of . such that Λ . 0. Obviously, . is co—compact if and only if the dual L° is compact. An element a ∈ . is called . if the sublattice ./0 is co—compact.

敲诈 发表于 2025-3-30 04:22:26

Supplemented lattices. Locally artinian lattices,For the beginning we mention (a straightforward lattice version of ) some simple results about supplements and supplemented lattices.
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查看完整版本: Titlebook: Lattice Concepts of Module Theory; Grigore Călugăreanu Book 2000 Springer Science+Business Media Dordrecht 2000 Group theory.Lattice.algeb