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Noetherian rings can be extended to finitely presented modules over coherent rings. Every left Noetherian ring is left coherent. The ring of polynomials...

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...

and coherent modules all of which are defined below. Over a Noetherian ring the concepts of finitely generated, finitely presented and coherent modules...

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...

Noetherian integral domain is a Dedekind ring with a torsion class group.: 200  A coherent ring is a commutative ring with each finitely generated ideal finitely...

intensity). The system can accommodate coherent units for an unlimited number of additional quantities. These are called coherent derived units, which can always...

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...

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...

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...

mathematics, a ringed space is a family of (commutative) rings parametrized by open subsets of a topological space together with ring homomorphisms that...

left coherent ring is a ring such that every finitely generated left ideal of it is a finitely presented module; in other words, it is coherent as a left...

a ring spectrum is often called perfect; see also module spectrum. When the structure sheaf O X {\displaystyle {\mathcal {O}}_{X}} is not coherent, working...

and complex AI patterns of the previous game, and puzzles that lacked coherent solutions. To promote the game, Melbourne House commissioned hologram picture...

although it will make it somewhat more difficult for the wearer to produce coherent speech. Occasionally, reins are attached. Because of the possibility of...

analogous notion of a coherent algebraic sheaf on a scheme. In both cases, the given space X {\displaystyle X} comes with a sheaf of rings O X {\displaystyle...

The Scalable Coherent Interface or Scalable Coherent Interconnect (SCI), is a high-speed interconnect standard for shared memory multiprocessing and message...

In mathematics, a Cohen–Macaulay ring is a commutative ring with some of the algebro-geometric properties of a smooth variety, such as local equidimensionality...

scheme. A coherent algebra forms a principal ideal ring under Schur product; moreover, a commutative coherent algebra forms a principal ideal ring under ordinary...

local ring such that for i < the Krull dimension of the ring, the i-th local cohomology of the ring along the maximal ideal has finite length. coherent 1...

have been proposed for this observational phenomenon: shadow hiding and coherent backscatter. The phase angle is defined as the angle between the observer...