Autoprojectivity
Перевод слова "autoprojectivity" на Русский язык
autoprojectivity
СуществительноеUK
/ˌɔːtəʊprəʊdʒɛkˈtɪvɪti/
US
/ˌɔːtəʊprəʊdʒɛkˈtɪvɪti/
autoprojectivity
autoprojectivities множ.
The concept of autoprojectivity is important in certain areas of mathematics.
Понятие автопроективности важно в некоторых областях математики.
Опеределения
autoprojectivity
СуществительноеUK
/ˌɔːtəʊprəʊdʒɛkˈtɪvɪti/
US
/ˌɔːtəʊprəʊdʒɛkˈtɪvɪti/
A property of an algebraic structure (especially in universal algebra or group theory) whereby the structure embeds (as a retract) into each of its non-trivial homomorphic images, i.e. every such image contains a substructure isomorphic to the original one.
Because of its autoprojectivity, the algebra can be found—up to isomorphism—inside every homomorphic image of itself.