integral domain उदाहरण वाक्य

उदाहरण वाक्य

1. The converse does not hold : every right Ore domain is a right Goldie domain, and hence so is every commutative integral domain.
2. An integral domain is completely integrally closed if and only if the monoid of divisors of " A " is a group.
3. An element of an integral domain is prime if, and only if, an ideal generated by it is a nonzero prime ideal.
4. It follows that the unique minimal prime ideal of a reduced and irreducible ring is the zero ideal, so such rings are integral domains.
5. *PM : polynomial ring over integral domain, id = 6918-- WP guess : polynomial ring over integral domain-- Status:
6. *PM : polynomial ring over integral domain, id = 6918-- WP guess : polynomial ring over integral domain-- Status:
7. One would think that integral domains and fields should be given more prominence in the article and should be discussed earlier in and more depth.
8. If " A " is an integral domain, then " d " is the transcendence degree of its field of fractions.
9. In general, suppose R is an integral domain and f is a monic univariate polynomial of degree d \ geq 1 with coefficients in R.
10. A commutative principal ideal ring which is also an integral domain is said to be a " principal ideal domain " ( PID ).