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en

Antiisomorphism

UK
/ˌæntiˌaɪsəˈmɔːfɪzəm/
US
/ˌæn.taɪˌaɪ.səˈmɔr.fɪ.zəm/
ru

Translation of "antiisomorphism" into Russian

antiisomorphism
Noun
raiting
UK
/ˌæntiˌaɪsəˈmɔːfɪzəm/
US
/ˌæn.taɪˌaɪ.səˈmɔr.fɪ.zəm/
antiisomorphism
antiisomorphisms pl
The concept of antiisomorphism is important in the study of algebraic structures.
Понятие антиизоморфизма важно в изучении алгебраических структур.

Definitions

antiisomorphism
Noun
raiting
UK
/ˌæntiˌaɪsəˈmɔːfɪzəm/
US
/ˌæn.taɪˌaɪ.səˈmɔr.fɪ.zəm/
A bijective homomorphism between two algebraic structures that reverses the order of the binary operation (i.e., an isomorphism to the opposite structure).
In group theory, mapping each element g to its inverse g⁻¹ defines an antiisomorphism between a group and its opposite group.
An order-reversing bijection between two partially ordered sets.
The map x ↦ −x acts as an antiisomorphism from the real numbers with their usual order onto itself.