Band (order theory)

id: band-order-theory-258-13621983
title: Band (order theory)
text: In mathematics, specifically in order theory and functional analysis, a band in a vector lattice X is a subspace M of X that is solid and such that for all S ⊆ M such that x = sup S exists in X , we have x ∈ M . The smallest band containing a subset S of X is called the band generated by S in X . A band generated by a singleton set is called a principal band.
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Band_(order_theory)
date created:
date modified: 2022-11-02T23:11:53Z
main entity: {"identifier":"Q96373053","url":"https://www.wikidata.org/entity/Q96373053"}
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