generated ideal造句

Many Pr黤er domains are also B閦out domains, that is, not only are finitely generated ideals principal ).
*PM : invertibility of regularly generated ideal, id = 6984-- WP guess : invertibility of regularly generated ideal-- Status:
*PM : invertibility of regularly generated ideal, id = 6984-- WP guess : invertibility of regularly generated ideal-- Status:
*PM : entries on finitely generated ideals, id = 7244-- WP guess : entries on finitely generated ideals-- Status:
*PM : entries on finitely generated ideals, id = 7244-- WP guess : entries on finitely generated ideals-- Status:
It's difficult to find generated ideal in a sentence. 用generated ideal造句挺难的

*PM : product of finitely generated ideals, id = 7217-- WP guess : product of finitely generated ideals-- Status:
*PM : product of finitely generated ideals, id = 7217-- WP guess : product of finitely generated ideals-- Status:
A B閦out domain is a Pr黤er domain, i . e ., a domain in which each finitely generated ideal is invertible, or said another way, a commutative semihereditary domain .)
The first one asserts that a set of polynomials has an empty set of common zeros in an algebraic closure of the field of the coefficients if and only if 1 belongs to the generated ideal.
More generally a "'Pr黤er ring "'is a commutative ring in which every non-zero finitely generated ideal consisting only of non-zero-divisors is invertible ( that is, projective ).
Some Conservative Friends do not self-describe this witness as being part of their simplicity testimony, but rather their integrity testimony, viewing it as an obedience to God's will rather than a witness to a human-generated ideal.
Finally, if " R " is not Noetherian, then there exists an infinite ascending chain of finitely generated ideals, so in a B閦out domain an infinite ascending chain of principal ideals . ( 4 ) and ( 2 ) are thus equivalent.
From the fact that the ideals of a valuation ring are totally ordered, one can conclude that a valuation ring is a local domain, and that every finitely generated ideal of a valuation ring is principal ( i . e ., a valuation ring is a B閦out domain ).