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Everything about Module (mathematics)
Generalization of vector spaces from fields to rings
In mathematics, a module is a generalization of the notion of vector space in which the field of scalars is replaced by a ring. The concept of a module also generalizes the notion of an abelian group, since the abelian groups are exactly the modules over the ring of integers. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Module (mathematics)A 5-minute orientation
- Skim a recent paper: Innovative Learning: Gender Perception of e-Module Linear Equations in Mathematics and PhysicsInfluential work since 2022
- Pick up a classic book: The algebraic theory of modular systemsThe most-reprinted book on the subject
- Read the landmark paper: Developing Mathematics Learning Strategy Module Based on Journal ReviewCited 9 times
- Go sideways: Injective moduleA closely related topic
- Go sideways: Associative algebraA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Developing Mathematics Learning Strategy Module Based on Journal Review
The Development of 3D Flipbook E-Learning Module of English Mathematics Profession
The practicality of mathematics learning module on triangles using GeoGebra
A photovoltaics module for incoming science, technology, engineering and mathematics undergraduates
SELF-LEARNING MODULE ASSESSMENT AND FEEDBACK IN MATHEMATICS
Development of Interactive Mathematics E-Module Using Visual Studio
Mathematics module based on problem-based learning to improve students’ metacognition
Integrating Ethno-Realistic Mathematics Education in developing three-dimensional instructional module
🆕 Influential since 2022
Innovative Learning: Gender Perception of e-Module Linear Equations in Mathematics and Physics
The effectiveness of integrated science, technology, engineering and mathematics project-based learning module
DEVELOPMENT OF SUNDANESE GAMELAN ETHNOMATHEMATICS E-MODULE FOR JUNIOR HIGH SCHOOL MATHEMATICS LEARNING
Constructive alignment of a mathematics methodology module
Development Of Mathematics E-Module Based On Ethnomathematics
📚 Books worth reading
The algebraic theory of modular systemsF. S. Macaulay · 1916
Algebras, rings and modulesMichiel Hazewinkel, Nadiya Gubareni · 2004
Communication systemsA. Bruce Carlson, Paul B. Crilly · 1968
Analytic Hilbert modulesXiaoman Chen · 2003
Modem theoryRichard E. Blahut · 2009
Decomposition and dimension in module categoriesJonathan S. Golan · 1977
Abelian groups, module theory, and topologyA. Orsatti, Dikran N. Dikranjan · 1998
Monopole antennasMelvin M. Weiner · 2003
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Injective module In mathematics, especially in the area of abstract algebra known as module theory, an injective module is a module Q that shares certain desirable properties…
- Associative algebra In mathematics, an associative algebra A over a commutative ring (often a field) K is a ring A together with a ring homomorphism from K into the center…
- Torsion (algebra) In mathematics, specifically in ring theory, a torsion element is an element of a module that yields zero when multiplied by some non-zero-divisor of the…
- Tensor product of modules In mathematics, the tensor product of modules is a construction that allows arguments about bilinear maps (e.g. multiplication) to be carried out in terms…
- Isomorphism theorems In mathematics, specifically abstract algebra, the isomorphism theorems (also known as Noether's isomorphism theorems) are theorems that describe the relationsh…
- Algebra over a field In mathematics, an algebra over a field (often simply called an algebra) is a vector space equipped with a bilinear product. Thus, an algebra is an algebraic…
- Ring (mathematics) In mathematics, a ring is an algebraic structure consisting of a set with two binary operations typically called addition and multiplication and denoted…
- Glossary of ring theory Ring theory is the branch of mathematics in which rings are studied: that is, structures supporting both an addition and a multiplication operation. This…