• is mainly phrased in algebraic terms of modules and algebras. Connections on modules are generalization of a linear connection on a smooth vector bundle...
    6 KB (960 words) - 05:31, 2 November 2024
  • bundle) Connection (affine bundle) Connection (composite bundle) Connection (algebraic framework) Gauge theory (mathematics) Connes connection Levi-Civita...
    19 KB (2,617 words) - 17:10, 15 March 2025
  • up connection in Wiktionary, the free dictionary. Wikiquote has quotations related to connection. Connection may refer to: Connection (algebraic framework)...
    3 KB (372 words) - 01:59, 17 December 2024
  • equations. Abstract algebra, also called modern algebra, is the study of algebraic structures. An algebraic structure is a framework for understanding operations...
    137 KB (13,739 words) - 10:59, 27 May 2025
  • Covariant derivative (category Connection (mathematics))
    connection Christoffel symbols Connection (algebraic framework) Connection (mathematics) Connection (vector bundle) Connection form Exterior covariant derivative...
    37 KB (6,453 words) - 09:24, 15 May 2025
  • Thumbnail for Algebraic geometry
    Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems...
    62 KB (7,498 words) - 11:10, 27 May 2025
  • noncommutative geometry, and BRST formalism. Supersymmetry Connection (algebraic framework) Supermetric Bartocci, C.; Bruzzo, U.; Hernandez Ruiperez,...
    3 KB (300 words) - 14:09, 19 April 2025
  • second Galois connection it serves as the lower adjoint. In the case of a quotient map between algebraic objects (such as groups), this connection is called...
    34 KB (4,176 words) - 07:20, 28 May 2025
  • Thumbnail for Arithmetic geometry
    abstract development of algebraic geometry. Over finite fields, étale cohomology provides topological invariants associated to algebraic varieties. p-adic Hodge...
    15 KB (1,464 words) - 19:56, 6 May 2024
  • Jean-Louis Koszul, who gave an algebraic framework for describing them (Koszul 1950). This article defines the connection on a vector bundle using a common...
    45 KB (8,674 words) - 23:09, 1 January 2025
  • Grassmann–Cayley algebra. In the late 1990s, plane-based geometric algebra and conformal geometric algebra (CGA) respectively provided a framework for euclidean...
    93 KB (13,801 words) - 22:00, 13 April 2025
  • algebra. Algebraic combinatorics has come to be seen more expansively as an area of mathematics where the interaction of combinatorial and algebraic methods...
    33 KB (3,524 words) - 20:02, 6 May 2025
  • Thumbnail for Affine connection
    algebra of the affine group, which is actually a semidirect product – see below). Affine connections can be defined within Cartan's general framework...
    58 KB (7,693 words) - 14:11, 3 July 2024
  • The general algebraic modeling system (GAMS) is a high-level modeling system for mathematical optimization. GAMS is designed for modeling and solving...
    14 KB (1,740 words) - 09:29, 6 March 2025
  • the connection between his algebra and logic was later put on firm ground in the setting of algebraic logic, which also studies the algebraic systems...
    75 KB (9,572 words) - 09:14, 22 April 2025
  • Categorical Syntax (RCS), also known as algebraic syntax, is a linguistic framework that integrates concepts from algebra and category theory to model sentence...
    12 KB (1,098 words) - 01:32, 28 May 2025
  • Scientifiques (IHÉS). Clausen's research has focused on algebraic K-theory and its connections to number theory and homotopy theory. Along with Peter Scholze...
    6 KB (313 words) - 23:46, 13 May 2025
  • Algebraic K-theory is a subject area in mathematics with connections to geometry, topology, ring theory, and number theory. Geometric, algebraic, and arithmetic...
    77 KB (10,647 words) - 03:27, 4 May 2025
  • Thumbnail for Galois theory
    K is an algebraic closure of Q. It allows for consideration of inseparable extensions. This issue does not arise in the classical framework, since it...
    32 KB (4,211 words) - 00:50, 27 April 2025
  • algebraic geometry, graded manifolds are extensions of the concept of manifolds based on ideas coming from supersymmetry and supercommutative algebra...
    7 KB (1,374 words) - 11:42, 12 June 2022
  • lattice Algebraic poset Scott domain Algebraic lattice Scott information system Powerdomain Scott topology Scott continuity Lindenbaum algebra Zorn's lemma...
    5 KB (396 words) - 23:32, 16 April 2025
  • Thumbnail for Linear algebra
    and theoretical framework that underlies the Fourier transform and related methods. Fundamental matrix (computer vision) Geometric algebra Linear programming...
    67 KB (7,974 words) - 09:17, 16 May 2025
  • sets, indices, algebraic expressions, powerful sparse index and data handling variables, constraints with arbitrary names. The algebraic formulation of...
    23 KB (2,902 words) - 14:18, 4 April 2025
  • within the framework of information algebras: https://arxiv.org/abs/1612.02587 Extended axiomatic foundations of information and valuation algebras The concept...
    19 KB (2,296 words) - 12:44, 23 January 2025
  • considered as belonging to algebra (in fact, every proof must use the completeness of the real numbers, which is not an algebraic property). This article...
    121 KB (17,047 words) - 19:41, 11 May 2025
  • Dual space (redirect from Algebraic dual)
    for all vector spaces, and to avoid ambiguity may also be called the algebraic dual space. When defined for a topological vector space, there is a subspace...
    45 KB (6,865 words) - 10:32, 17 March 2025
  • this theory, a spacetime is characterized by a curvature-free linear connection in conjunction with a metric tensor field, both defined in terms of a...
    21 KB (2,612 words) - 19:02, 24 May 2025
  • Thumbnail for Alexander Grothendieck
    Alexander Grothendieck (category Algebraic geometers)
    of modern algebraic geometry. His research extended the scope of the field and added elements of commutative algebra, homological algebra, sheaf theory...
    82 KB (8,661 words) - 07:28, 21 May 2025
  • on the underlying methods—differential geometry, algebraic geometry, computational geometry, algebraic topology, discrete geometry (also known as combinatorial...
    102 KB (10,101 words) - 16:23, 8 May 2025
  • Thumbnail for Group theory
    In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known...
    39 KB (5,086 words) - 18:26, 11 April 2025