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s2-Quasialgebraic Posets
Author(s) -
Wenfeng Zhang,
Wenfeng Li,
Xiaoquan Xu
Publication year - 2019
Publication title -
electronic notes in theoretical computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.242
H-Index - 60
ISSN - 1571-0661
DOI - 10.1016/j.entcs.2019.07.031
Subject(s) - partially ordered set , mathematics , lattice (music) , combinatorics , algebraic number , star product , algebraic topology , discrete mathematics , pure mathematics , physics , mathematical analysis , homotopy , acoustics
In this paper, the concept of s 2 -quasialgebraic posets is introduced. The main results are: (1) A poset is an s 2 -quasialgebraic iff the σ 2 -topology is a hypercontinuous and algebraic lattice; (2) A poset is s 2 -algebraic iff it is meet s 2 -continuous and s 2 -quasialgebraic.

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