is mainly phrased in algebraic terms of modules and algebras. Connections on modules are generalization of a linear connection on a smooth vector bundle...

bundle) Connection (affine bundle) Connection (composite bundle) Connection (algebraic framework) Gauge theory (mathematics) Connes connection Levi-Civita...

up connection in Wiktionary, the free dictionary. Wikiquote has quotations related to connection. Connection may refer to: Connection (algebraic framework)...

equations. Abstract algebra, also called modern algebra, is the study of algebraic structures. An algebraic structure is a framework for understanding operations...

connection Christoffel symbols Connection (algebraic framework) Connection (mathematics) Connection (vector bundle) Connection form Exterior covariant derivative...

Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems...

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...

noncommutative geometry, and BRST formalism. Supersymmetry Connection (algebraic framework) Supermetric Bartocci, C.; Bruzzo, U.; Hernandez Ruiperez,...

abstract development of algebraic geometry. Over finite fields, étale cohomology provides topological invariants associated to algebraic varieties. p-adic Hodge...

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...

The general algebraic modeling system (GAMS) is a high-level modeling system for mathematical optimization. GAMS is designed for modeling and solving...

algebra. Algebraic combinatorics has come to be seen more expansively as an area of mathematics where the interaction of combinatorial and algebraic methods...

algebra of the affine group, which is actually a semidirect product – see below). Affine connections can be defined within Cartan's general framework...

Grassmann–Cayley algebra. In the late 1990s, plane-based geometric algebra and conformal geometric algebra (CGA) respectively provided a framework for euclidean...

Categorical Syntax (RCS), also known as algebraic syntax, is a linguistic framework that integrates concepts from algebra and category theory to model sentence...

Scientifiques (IHÉS). Clausen's research has focused on algebraic K-theory and its connections to number theory and homotopy theory. Along with Peter Scholze...

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...

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...

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...

Algebraic K-theory is a subject area in mathematics with connections to geometry, topology, ring theory, and number theory. Geometric, algebraic, and arithmetic...

algebraic geometry, graded manifolds are extensions of the concept of manifolds based on ideas coming from supersymmetry and supercommutative algebra...

lattice Algebraic poset Scott domain Algebraic lattice Scott information system Powerdomain Scott topology Scott continuity Lindenbaum algebra Zorn's lemma...

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...

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...

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...

within the framework of information algebras: https://arxiv.org/abs/1612.02587 Extended axiomatic foundations of information and valuation algebras The concept...

and theoretical framework that underlies the Fourier transform and related methods. Fundamental matrix (computer vision) Geometric algebra Linear programming...

sets, indices, algebraic expressions, powerful sparse index and data handling variables, constraints with arbitrary names. The algebraic formulation of...

_{t}^{-1}{\bigr )}^{*}\Phi _{0}^{*}T\,.} We now give an algebraic definition. The algebraic definition for the Lie derivative of a tensor field follows...

classical and p-adic Hodge theory for elliptic curves carried out in the framework of Arakelov theory. It was introduced by Mochizuki (1999). It bears the...