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EXALCOMM

Exalcomm

In algebra, Exalcomm is a functor classifying the extensions of a commutative algebra by a module. More precisely, the elements of Exalcommk(R,M) are isomorphism

Exalcomm

André–Quillen cohomology

Theory of cohomology for commutative rings

This term can be extended to a six-term exact sequence using the functor Exalcomm of extensions of commutative algebras and a nine-term exact sequence using

André–Quillen cohomology

André–Quillen_cohomology

Deformation (mathematics)

Branch of mathematics

this[citation needed]. Kodaira–Spencer map Dual number Schlessinger's theorem Exalcomm Cotangent complex Gromov–Witten invariant Moduli of algebraic curves Degeneration

Deformation (mathematics)

Deformation_(mathematics)

Fibred category

Concept in category theory

cotangent complex for local-complete intersections and in the study of exalcomm. Grothendieck construction Stack (mathematics) Artin's criterion Fibration

Fibred category

Fibred_category

Abelian 2-group

interpretation of this Abelian 2-group from deformation theory using the Exalcomm category. Note that in addition to using a 2-term chain complex, would

Abelian 2-group

Abelian_2-group

Cotangent complex

Construct in algebraic geometry

_{C}^{1}(p_{1}+\cdots +p_{n}))} André–Quillen cohomology Deformation theory Exalcomm Kodaira-Spencer class Atiyah class "Section 91.21 (08UX): Deformations

Cotangent complex

Cotangent_complex