In algebraic geometry, a Noetherian local ring R is called parafactorial if it has depth at least 2 and the Picard group Pic(Spec(R) − m) of its spectrum...
2 KB (296 words) - 22:51, 12 August 2023
Unique factorization domain (redirect from Factorial ring)
ideal (induction on height) that is principal. By (2), the ring is a UFD. Parafactorial local ring Noncommutative unique factorization domain Bourbaki (1972)...
13 KB (1,773 words) - 23:13, 10 May 2024
for unifying cohomology theories Nuclear operator Nuclear space Parafactorial local ring Projective tensor product Proper morphism – in algebraic geometry...
77 KB (8,255 words) - 07:11, 29 June 2024
Glossary of commutative algebra (redirect from Equicharacteristic local ring)
ring R is an isomorphism from the highest non-zero exterior power of the module to R. parafactorial A Noetherian local ring R is called parafactorial...
66 KB (9,767 words) - 00:23, 7 July 2024