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Everything about Simple module
Type of module over a ring
In mathematics, specifically in ring theory, the simple modules over a ring R are the modules over R that are non-zero and have no non-zero proper submodules. Equivalently, a module M is simple if and only if every cyclic submodule generated by a non-zero element of M equals M. Simple modules form building blocks for the modules of finite length, and they are analogous to the simple groups in group theory. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Simple moduleA 5-minute orientation
- Skim a recent paper: Synthetic Cells: From Simple Bio‐Inspired Modules to Sophisticated Integrated SystemsInfluential work since 2022
- Pick up a classic book: AlgèbreThe most-reprinted book on the subject
- Read the landmark paper: Haar wavelet downsampling: A simple but effective downsampling module for semantic segmentationCited 476 times
- Go sideways: Semisimple moduleA closely related topic
- Go sideways: Glossary of module theoryA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Haar wavelet downsampling: A simple but effective downsampling module for semantic segmentation
A Simple and Light-Weight Attention Module for Convolutional Neural Networks
A simple model for PV module reflection losses under field conditions
A simple topography-driven and calibration-free runoff generation module
New simple feed network for an array module of four microstrip elements
Representations of simple Lie groups with a free module of covariants
Simple and Low-Cost Photovoltaic Module Emulator
Module categories of simple current extensions of vertex operator algebras
🆕 Influential since 2022
Synthetic Cells: From Simple Bio‐Inspired Modules to Sophisticated Integrated Systems
A simple cooling structure with precisely-tailored liquid cooling plate for thermal management of large battery module
RepVGG-SimAM: An Efficient Bad Image Classification Method Based on RepVGG with Simple Parameter-Free Attention Module
Learned large Field-of-View imager with a simple spherical optical module
Amyloidogenic immunoglobulin light chain kinetic stabilizers comprising a simple urea linker module reveal a novel binding sub-site
📚 Books worth reading
AlgèbreNicolas Bourbaki · 1958
Modules for basic nursing skillsJanice Rider Ellis, Celia Love Hartley · 1977
Comprehensive assurance & systems toolFrank A. Buckless, Laura R. Ingraham · 2003
Applied harmonyC. A. Alchin · 1921
Raised-bed vegetable gardening made simpleRaymond Nones · 2010- 📕How to modulateF. H. Shepard · 1890
- 📕Teacher's guide for clay boats · 1976
- 📕Normal basis and semi-simple modulesJ. Tiago de Oliveira · 1955
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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