Spectrum of a ring information

commutative algebra, the prime spectrum (or simply the spectrum) of a commutative ring R is the set of all prime ideals of R, and is usually denoted by...

theory, a ring spectrum is a spectrum E together with a multiplication map μ: E ∧ E → E and a unit map η: S → E, where S is the sphere spectrum. These...

later generalized for making the set of prime ideals of a commutative ring (called the spectrum of the ring) a topological space. The Zariski topology...

a commutative ring spectrum, roughly equivalent to a E ∞ {\displaystyle E_{\infty }} -ring spectrum, is a commutative monoid in a good category of spectra...

different parts of the sexuality spectrum. A white ring may be worn on one's left middle finger to indicate one's identity on the aromantic spectrum. This was...

geometers define the spectrum of a ring to be its set of prime rather than maximal ideals; one wants a homomorphism of rings to give a map between their...

In mathematics, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative...

the formal spectrum of A, denoted Spf A. Spf A has a structure sheaf which is defined using the structure sheaf of the spectrum of a ring. Let J λ {\displaystyle...

of the prime ideals of any commutative ring; for this topology, the closed sets are the sets of prime ideals that contain a given ideal. The spectrum...

mathematics, a highly structured ring spectrum or A ∞ {\displaystyle A_{\infty }} -ring is an object in homotopy theory encoding a refinement of a multiplicative...

group of X. π*(X) is the sum of the groups πn(X), and is called the coefficient ring of X when X is a ring spectrum. X∧Y is the smash product of two spectra...

Proj is a construction analogous to the spectrum-of-a-ring construction of affine schemes, which produces objects with the typical properties of projective...

S-phase-promoting factor, in biology Formal spectrum of a ring, a construction in algebraic geometry Spray polyurethane foam, a building insulation material Spruce-pine-fir...

{\displaystyle \mathrm {Spec} (R)} (cf. spectrum of a ring) for which the generic fibre constructed by means of the morphism S p e c ( F ) → S p e c (...

vector spaces, topological rings and local fields. Spectral: A space is spectral if and only if it is the prime spectrum of a ring (Hochster theorem). Specialization...

{Z} }}} , then a sheaf of O-modules is the same as a sheaf of abelian groups (i.e., an abelian sheaf). If X is the prime spectrum of a ring R, then any R-module...

mathematics, the (right) Ziegler spectrum of a ring R is a topological space whose points are (isomorphism classes of) indecomposable pure-injective right...

Global Spectrum may refer to: Comcast Spectacor Spectrum of a ring#Global or relative Spec This disambiguation page lists articles associated with the...

primitive rings are all fields. The primitive spectrum of a ring is a non-commutative analog of the prime spectrum of a commutative ring. Let A be a ring and...

a Noetherian commutative ring as an intersection of primary ideals, which are the appropriate generalizations of prime powers. The spectrum of a ring...

definition of the spectrum of a ring Spec(R), the space of prime ideals of R equipped with the Zariski topology, that the Krull dimension of R is equal...