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Congruence-permutable algebra
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Congruence-permutable algebra : ウィキペディア英語版
Congruence-permutable algebra

In universal algebra, two congruences \alpha, \beta are said to be permutable if \alpha \circ \beta = \beta \circ \alpha. A congruence-permutable algebra is one in which all congruences are permutable. A variety of algebras is congruence-permutable if every algebra in the variety is congruence-permutable.
A Mal'cev term is a term ''M'' for which
:
M(x, x, y) = y = M(y, x, x).

A congruence-permutable variety is one whose signature contains a Mal'cev term.


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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