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What (who) is algebraic irreducibility - definition
SUBCLASS OF LINKS IN KNOT THEORY
Algebraic knot; Algebraic Knot
![Decomposition of the [[Borromean rings]] by a Conway sphere (black dotted vertical midline) into two 2-tangles, showing that the Borromean rings form an algebraic link](https://commons.wikimedia.org/wiki/Special:FilePath/Algebraic Borromean link diagram.svg?width=200 "Decomposition of the [[Borromean rings]] by a Conway sphere (black dotted vertical midline) into two 2-tangles, showing that the Borromean rings form an algebraic link")
Algebraic extension
FIELD EXTENSION VIA ADJOINING SOLUTIONS TO POLYNOMIALS WITH COEFFICIENTS IN THE SUBFIELD
Algebraic extension of a field; Algebraic field extension; Relative algebraic closure; Algebraic extension field
In mathematics, an algebraic extension is a field extension such that every element of the larger field is algebraic over the smaller field ; that is, if every element of is a root of a non-zero polynomial with coefficients in .Fraleigh (2014), Definition 31.
Derived algebraic geometry
BRANCH OF MATHEMATICS GENERALIZING ALGEBRAIC GEOMETRY SO THAT COMMUTATIVE RINGS PROVIDING LOCAL CHARTS ARE REPLACED BY SIMPLICIAL COMMUTATIVE RINGS OR E∞-RING SPECTRA, WHOSE HIGHER HOMOTOPY GROUPS ACCOUNT FOR NON-DISCRETENESS OF THE STRUCTURE SHEAF
Homotopical algebraic geometry; Spectral algebraic geometry
Derived algebraic geometry is a branch of mathematics that generalizes algebraic geometry to a situation where commutative rings, which provide local charts, are replaced by either differential graded algebras (over \mathbb{Q}), simplicial commutative rings or E_{\infty}-ring spectra from algebraic topology, whose higher homotopy groups account for the non-discreteness (e.g.
Algebraic code-excited linear prediction
SPEECH CODING STANDARD
ACELP; Algebraic code excited linear prediction; CS-ACELP; Algebraic Code Excited Linear Prediction; Algebraic CELP
Algebraic code-excited linear prediction (ACELP) is a patented speech coding algorithm by VoiceAge Corporation in which a limited set of pulses is distributed as excitation to a linear prediction filter. It is a linear predictive coding (LPC) algorithm that is based on the code-excited linear prediction (CELP) method and has an algebraic structure.
Wikipedia
Algebraic link
In the mathematical field of knot theory, an algebraic link is a link that can be decomposed by Conway spheres into 2-tangles. Algebraic links are also called arborescent links. Although algebraic links and algebraic tangles were originally defined by John H. Conway as having two pairs of open ends, they were subsequently generalized to more pairs.
