💡 Words with a Similar Meaning to "Algebraic group"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| algebraic subvarietynoun | (algebraic geometry) A subset of an algebraic variety that is itself an algebraic variety. |
| algebraic varietynoun | (algebraic geometry) The set of solutions of a given system of polynomial equations over the real or complex numbers; any of certain generalisations of such a set that preserves the geometric intuition implicit in the original definition. |
| t-varietynoun | algebraic geometry An algebraic variety equipped a group action of an algebraic torus. |
| algebraic geometrynoun | (mathematics) A branch of mathematics that studies algebraic varieties (solution sets of polynomial equations) and their generalisations, using techniques from both algebra (chiefly commutative algebra) and geometry. |
| linear algebraic groupnoun | (algebraic geometry, category theory) An algebraic group that is isomorphic to a subgroup of some general linear group. |
| algebraic fundamental groupnoun | (algebraic geometry) A group which is an analogue for schemes of the fundamental group for topological spaces. |
| varietynoun | (countable) A collection or number of different things. |
| abstract algebranoun | (mathematics) The branch of mathematics concerned with algebraic structures, such as groups, rings, and fields. |
| anabelian geometrynoun | (mathematics, algebraic geometry, arithmetic geometry) A theory which describes the way in which the algebraic fundamental group G of an algebraic variety (or some related geometric object) V determines how V can be mapped into another geometric object W, under the assumption that G is very far from being abelian (commutative). |
| algebraic geometernoun | A mathematician who specializes in algebraic geometry. |
| hyperalgebranoun | (mathematics) The formal group ring of a formal group law. |
| division algebranoun | (algebra) An algebra over a field such that every non-zero element of it has a multiplicative inverse. (It is not required to have a unity element.) |
| additive groupnoun | (mathematics) Any group, or algebraic object that can be regarded as a group, whose binary operation is called addition and denoted +; specifically: |
| birational geometrynoun | (algebraic geometry) A field of algebraic geometry in which the aim is to determine under what conditions two algebraic varieties are isomorphic outside lower-dimensional subsets. |
| quasivarietynoun | (mathematics) Any of a class of algebraic structures generalizing the notion of variety by allowing equational conditions on the axioms defining the class. |
| abelian groupnoun | (algebra) A group in which the group operation is commutative. |
| regular mapnoun | (graph theory) A symmetric tessellation of a closed surface; a decomposition of a two-dimensional manifold into topological disks such that every flag (incident vertex-edge-face triple) can be transformed into any other flag by a symmetry (i.e., an automorphism) of the decomposition. |
| affine varietynoun | (algebraic geometry) A set of points (in n-dimensional space) which satisfy a set of equations which have a polynomial of n variables on one side and a zero on the other side. |
| algebraic graph theorynoun | (uncountable, mathematics, graph theory) The subbranch of graph theory in which algebraic methods are applied to problems about graphs. |
| group theorynoun | (algebra, uncountable) The mathematical theory of groups. |
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