Question

Least fixed point and monotone mappings in complete lattice

score 32 · Answer 1 · 2023-03-30 18:44:33

32

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Least fixed point and monotone mappings in complete lattice

Published on 30 Mar 2023 - 18:44

score 154 · Answer 2 · 2023-03-31 10:34:15

154

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For a distributive lattice, show $x ~\hat{\land}~ a = y ~\hat{\land}~ a$ and $x ~\hat{\lor}~ a = y ~\hat{\lor}~ a$ imply $x = y$.

Published on 31 Mar 2023 - 10:34

score 137 · Answer 3 · 2023-04-03 16:15:01

137

Views

Rigorously proving a lattice is sublattice of another

Published on 03 Apr 2023 - 16:15

score 63 · Answer 4 · 2026-03-26 14:22:32

63

Views

Clarifications needed in an exercise about semilattice and abelian monoids in Arbib and Manes' text

Published on 26 Mar 2026 - 14:22

score 97 · Answer 5 · 2023-04-14 15:47:02

97

Views

Multiplicative lattice with $(a \land b)\ast(a\lor b)=a \ast b$

Published on 14 Apr 2023 - 15:47

score 207 · Answer 6 · 2023-04-14 19:58:45

207

Views

A lattice of integer congruence classes

Published on 14 Apr 2023 - 19:58

score 31 · Answer 7 · 2026-03-25 21:49:55

31

Views

The meet of two minimal generators of a stable ideal in a polynomial ring

Published on 25 Mar 2026 - 21:49

score 38 · Answer 8 · 2023-04-28 22:35:33

38

Views

Name of the notion dual to disjoint union? ("Exhaustive intersection"?)

Published on 28 Apr 2023 - 22:35

score 117 · Answer 9 · 2026-03-28 09:51:21

117

Views

Name of the monotone-like property "$f(x)\geq f(x\wedge y)$ implies $f(x\vee y)\geq f(x)$" on a lattice

Published on 28 Mar 2026 - 9:51

score 34 · Answer 10 · 2023-05-04 14:03:02

34

Views

Complete the gap in a ranked poset (even number of ways?)

Published on 04 May 2023 - 14:03

score 44 · Answer 11 · 2023-05-17 12:04:35

44

Views

Distributive lattice freely generated by I

Published on 17 May 2023 - 12:04

score 36 · Answer 12 · 2023-05-22 20:25:10

36

Views

Alternative condition for modular lattices

Published on 22 May 2023 - 20:25

score 29 · Answer 13 · 2023-05-23 10:22:32

29

Views

Distributive lattice is finite iff has finite join-irreducibles?

Published on 23 May 2023 - 10:22

score 53 · Answer 14 · 2023-05-23 22:05:40

53

Views

Are complete sublattices of algebraic lattices algebraic?

Published on 23 May 2023 - 22:05

score 33 · Answer 15 · 2023-05-24 11:36:43

33

Views

Equivalent definitions of distributive lattice

Published on 24 May 2023 - 11:36

List Question

Least fixed point and monotone mappings in complete lattice

For a distributive lattice, show $x ~\hat{\land}~ a = y ~\hat{\land}~ a$ and $x ~\hat{\lor}~ a = y ~\hat{\lor}~ a$ imply $x = y$.

Rigorously proving a lattice is sublattice of another

Clarifications needed in an exercise about semilattice and abelian monoids in Arbib and Manes' text

Multiplicative lattice with $(a \land b)\ast(a\lor b)=a \ast b$

A lattice of integer congruence classes

The meet of two minimal generators of a stable ideal in a polynomial ring

Name of the notion dual to disjoint union? ("Exhaustive intersection"?)

Name of the monotone-like property "$f(x)\geq f(x\wedge y)$ implies $f(x\vee y)\geq f(x)$" on a lattice

Complete the gap in a ranked poset (even number of ways?)

Distributive lattice freely generated by I

Alternative condition for modular lattices

Distributive lattice is finite iff has finite join-irreducibles?

Are complete sublattices of algebraic lattices algebraic?

Equivalent definitions of distributive lattice

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