Введите слово или словосочетание на любом языке 👆
Язык:
Перевод и анализ слов искусственным интеллектом ChatGPT
На этой странице Вы можете получить подробный анализ слова или словосочетания, произведенный с помощью лучшей на сегодняшний день технологии искусственного интеллекта:
- как употребляется слово
- частота употребления
- используется оно чаще в устной или письменной речи
- варианты перевода слова
- примеры употребления (несколько фраз с переводом)
- этимология
Что (кто) такое quotient ring - определение
Quotient ring
CONSTRUCTION IN ABSTRACT ALGEBRA
Factor ring; Residue class ring; Residue ring; Quotient Ring; Factor Ring; Quotient associative algebra
In ring theory, a branch of abstract algebra, a quotient ring, also known as factor ring, difference ring or residue class ring, is a construction quite similar to the quotient group in group theory and to the quotient space in linear algebra. It is a specific example of a quotient, as viewed from the general setting of universal algebra.
Quotient space (linear algebra)
VECTOR SPACE CONSISTING OF AFFINE SUBSETS
Linear quotient space; Quotient vector space
In linear algebra, the quotient of a vector space V by a subspace N is a vector space obtained by "collapsing" N to zero. The space obtained is called a quotient space and is denoted V/N (read "V mod N" or "V by N").
Total ring of fractions
In abstract algebra, the total quotient ring, or total ring of fractions, is a construction that generalizes the notion of the field of fractions of an integral domain to commutative rings R that may have zero divisors. The construction embeds R in a larger ring, giving every non-zero-divisor of R an inverse in the larger ring.
