• 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...
    25 KB (3,937 words) - 20:11, 22 July 2024
  • 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...
    1 KB (127 words) - 18:29, 26 March 2024
  • Thumbnail for Zariski topology
    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...
    18 KB (2,770 words) - 06:44, 1 July 2024
  • spectrum  is also naturally a topological space; this is similar to the notion of the spectrum of a ring. One of the most important applications of this...
    12 KB (1,753 words) - 20:34, 24 January 2024
  • Thumbnail for Aromanticism
    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...
    61 KB (5,483 words) - 06:31, 29 September 2024
  • a commutative ring spectrum, roughly equivalent to a E ∞ {\displaystyle E_{\infty }} -ring spectrum, is a commutative monoid in a good category of spectra...
    2 KB (206 words) - 17:20, 31 July 2024
  • Semiring Spectrum of a ring Simplicial commutative ring Special types of rings: Boolean ring Dedekind ring Differential ring Exponential ring Finite ring Lie...
    99 KB (13,632 words) - 06:07, 27 August 2024
  • 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...
    6 KB (1,031 words) - 01:35, 27 April 2024
  • within a continuum. Spectrum may also refer to: Electromagnetic spectrum Visible spectrum or optical spectrum, a subset of the electromagnetic spectrum Emission...
    8 KB (965 words) - 06:34, 8 June 2024
  • In algebraic topology, a branch of mathematics, a spectrum is an object representing a generalized cohomology theory. Every such cohomology theory is...
    21 KB (3,451 words) - 18:25, 26 March 2024