en

Quasifield

ru

Übersetzung von "quasifield" ins Russisch

quasifield
Substantiv
raiting
UK
/ˈkwɑːzɪfiːld/
US
/ˈkwɑːzɪfiːld/
quasifield
quasifields Pl.
A quasifield is a generalization of a field in algebra.
Квазиполе — это обобщение поля в алгебре.

Definitionen

quasifield
Substantiv
raiting
UK
/ˈkwɑːzɪfiːld/
US
/ˈkwɑːzɪfiːld/
In abstract algebra, a non-empty set equipped with addition and multiplication such that (Q, +) is an abelian group, multiplication is right-distributive over addition, every non-zero element has a multiplicative inverse, but multiplication need not be associative.
Finite quasifields are used to construct translation planes in projective geometry.
quasifield
Adjektiv
raiting
UK
/ˈkwɑːzɪfiːld/
US
/ˈkwɑːzɪfiːld/
Relating to or characteristic of a quasifield.
The quasifield structure imposes specific constraints on the associated geometry.

Redewendungen und Phrasen

finite quasifield
The construction is based on a finite quasifield.
конечное квази-поле
Построение основано на конечном квази-поле.
nonassociative quasifield
A nonassociative quasifield does not satisfy the associative law.
неассоциативное квази-поле
Неассоциативное квази-поле не удовлетворяет закону ассоциативности.
projective plane over a quasifield
This projective plane is constructed over a quasifield.
проективная плоскость над квази-полем
Эта проективная плоскость построена над квази-полем.
left quasifield
A left quasifield has a left distributive law.
левое квази-поле
Левое квази-поле обладает левым дистрибутивным законом.
isotope of a quasifield
An isotope of a quasifield can have different algebraic properties.
изотоп квази-поля
Изотоп квази-поля может обладать разными алгебраическими свойствами.