Every nonzero prime ideal in a P.I.D. is a maximal ideal Post published:June 13, 2023 Post category:Mathematics/Ring Theory Post comments:0 Comments Continue ReadingEvery nonzero prime ideal in a P.I.D. is a maximal ideal

Show that (x) is a prime ideal of R[X] iff R is an integral ideal Post published:April 2, 2023 Post category:Mathematics/Ring Theory Post comments:0 Comments Continue ReadingShow that (x) is a prime ideal of R[X] iff R is an integral ideal

The ideal P is a prime ideal of a commutative ring R iff R/P is an integral domain Post published:March 29, 2023 Post category:Mathematics/Ring Theory Post comments:0 Comments Continue ReadingThe ideal P is a prime ideal of a commutative ring R iff R/P is an integral domain