翻訳と辞書
Words near each other
・ Quasispecies model
・ Quasistatic
・ Quasistatic approximation
・ Quasistatic loading
・ Quasistatic process
・ Quasisymmetric
・ Quasisymmetric function
・ Quasisymmetric map
・ Quasit
・ Quasithin group
・ Quasitopological space
・ Quasitoric manifold
・ Quasitransitive relation
・ Quasitriangular Hopf algebra
・ Quasiturbine
Quasivariety
・ Quasquara
・ Quasqueton, Iowa
・ Quassaick Creek
・ Quassar
・ Quassel IRC
・ Quassia
・ Quassia amara
・ Quassia sanguinea
・ Quassia sp. 'Moonee Creek'
・ Quassia sp. 'Mount Nardi'
・ Quassim Cassam
・ Quassin
・ Quassinoid
・ Quassiremus


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

Quasivariety : ウィキペディア英語版
Quasivariety
In mathematics, a quasivariety is a class of algebraic structures generalizing the notion of variety by allowing equational conditions on the axioms defining the class.
==Definition==

A ''trivial algebra'' contains just one element. A quasivariety is a class ''K'' of algebras with a specified signature satisfying any of the following equivalent conditions.
1. ''K'' is a pseudoelementary class closed under subalgebras and direct products.
2. ''K'' is the class of all models of a set of quasiidentities, that is, implications of the form s_1 \approx t_1 \land \ldots \land s_n \approx t_n \rightarrow s \approx t, where s, s_1, \ldots, s_n,t, t_1, \ldots, t_n are terms built up from variables using the operation symbols of the specified signature.
3. ''K'' contains a trivial algebra and is closed under isomorphisms, subalgebras, and reduced products.
4. ''K'' contains a trivial algebra and is closed under isomorphisms, subalgebras, direct products, and ultraproducts.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Quasivariety」の詳細全文を読む



スポンサード リンク
翻訳と辞書 : 翻訳のためのインターネットリソース

Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.