Noetherian rings can be extended to finitely presented modules over coherent rings. Every left Noetherian ring is left coherent. The ring of polynomials...
2 KB (183 words) - 19:18, 27 January 2022
coherent sheaves is made with reference to a sheaf of rings that codifies this geometric information. Coherent sheaves can be seen as a generalization of vector...
40 KB (6,913 words) - 21:25, 2 April 2024
Finitely generated module (redirect from Coherent module)
and coherent modules all of which are defined below. Over a Noetherian ring the concepts of finitely generated, finitely presented and coherent modules...
19 KB (2,837 words) - 22:51, 25 November 2023
Spectral space (redirect from Coherent space (topology))
the spectrum of a commutative ring. It is sometimes also called a coherent space because of the connection to coherent topoi. Let X be a topological space...
5 KB (526 words) - 15:00, 16 January 2024
Flat module (redirect from Flat morphism (ring theory))
general be flat. In fact, given a ring R, every direct product of flat R-modules is flat if and only if R is a coherent ring (that is, every finitely generated...
30 KB (4,590 words) - 03:05, 9 August 2024
intensity). The system can accommodate coherent units for an unlimited number of additional quantities. These are called coherent derived units, which can always...
68 KB (5,855 words) - 15:17, 30 August 2024
problems considered here make sense only for a Noetherian ring, or at least a coherent ring. In fact, this article is restricted to Noetherian integral...
10 KB (1,439 words) - 13:47, 25 April 2024
wavelength 3.6 cm near ring's apoapsis. Such strong scattering requires the existence of a coherent structure. That the ε ring does have such a fine structure...
53 KB (6,234 words) - 10:13, 27 August 2024
mathematics, a ringed space is a family of (commutative) rings parametrized by open subsets of a topological space together with ring homomorphisms that...
9 KB (1,476 words) - 21:26, 23 April 2024