anti-isomorphism

英

美 [ˈænti ˌaɪsəˈmɔrfɪzəm]

n. 反同构；反同型性

Preserving Jordan orthogonality is characterized under the same assumption as preserving anti-orthogonality, Φ has one of the following forms: a isomorphism, a conjugate isomorphism, a anti-isomorphism, a conjugate anti-isomorphism.
与保反正交性的假设条件相同，对于保Jordan正交性，得到Φ是下列形式之一：-同构，共轭-同构，-反同构，共轭-反同构。
It is shown that every Jordan isomorphism between two nest algebras alg β and alg γ is either an isomorphism or an anti-isomorphism.
证明了套代数algβ和algγ之间的每一个Jordan同构，要么是同构；要么是反同构。
First, we proved that every linear maps that preserving anti-zero product and unit from one nest subalgebra of factor von Neumann algebra to another is an anti-isomorphism.
证明了因子vonNeumann代数中两个套子代数之间双边保反零积且保单位元的线性满射是反同构。
If H is infinite dimensional and Φ is a surjective commutative zero-product preserving additive maps on B ( H), It is obtained that Φ is a nonzero scalar multiple of a ring isomorphism or a ring anti-isomorphism.
进一步给出了无限维情形下，若Φ是保交换零积可加满射，则Φ是非零数乘一个环同构或一个环反同构。