anti-isomorphism


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anti-isomorphism

[‚an·tē‚ī·sə′mȯr‚fiz·əm]
(mathematics)
A one-to-one correspondence between two rings, fields, or integral domains such that, if x ′ corresponds to x and y ′ corresponds to y, then x ′+ y corresponds to x + y, but yx ′ corresponds to xy.
References in periodicals archive ?
3 The map [phi] is an isomorphism of coalgebras and an anti-isomorphism ([phi](a x b) = [phi](b) x [phi](a)) of one-sided algebras.