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A Boolean algebra of functions

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#boolean-algebra #lattice-orders
65
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How to proof that every group $G$ with closure operator $C(X) =<X>$ (generator of G for every $X \subseteq G$) is algebraic lattice?

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#lattice-orders
72
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Prove that the lattice $(L, \leq)$ where $L = [0,1]$ is non algebraic lattice - only $0$ is compact element.

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#lattice-orders
467
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"In a bounded lattice the join is the least element and meet is the greatest element"... yet a join is the least upper bound I don't understand.

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#lattice-orders
157
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Is there a method converting implication into equality?

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#logic #lattice-orders #universal-algebra
98
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How to show that the set of complete lattice congruences of an complete lattice is again complete lattice?

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#representation-theory #equivalence-relations #lattice-orders #congruence-relations
62
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What does being smaller that to a join means in a lattice?

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#elementary-set-theory #order-theory #supremum-and-infimum #lattice-orders #well-orders
124
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What does being smaller that to a join means in a distributive lattice?

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#elementary-set-theory #order-theory #supremum-and-infimum #lattice-orders #well-orders
40
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Lattice of self-adjoint bounded functionals on C*-algebra

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#measure-theory #operator-algebras #lattice-orders #signed-measures #banach-lattices
488
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A lattice is distributive iff the pentagon and the diamond cannot be embedded in it

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#discrete-mathematics #lattice-orders
171
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Rig in which + distributes over *

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#abstract-algebra #lattice-orders
120
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When does downward closure commute with supremum?

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#elementary-set-theory #order-theory #supremum-and-infimum #lattice-orders
300
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Proof of general Knaster-Tarski fixpoint theorem

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#abstract-algebra #order-theory #fixed-point-theorems #lattice-orders
41
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What is this equivalence relation on the elements of a lattice?

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#reference-request #relations #lattice-orders
45
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Bounded Lattice: conventional signature seems over-specified

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#lattice-orders

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