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Everything about Serial module
In abstract algebra, a uniserial module M is a module over a ring R, whose submodules are totally ordered by inclusion. This means simply that for any two submodules N1 and N2 of M, either or. A module is called a serial module if it is the direct sum of uniserial modules. A ring R is called a right uniserial ring if it is uniserial as a right module over itself, and likewise called a right serial ring if it is a right serial module over itself. Left uniserial and left serial rings are defined in a similar way, and are in general distinct from their right-sided counterparts. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Serial moduleA 5-minute orientation
- Skim a recent paper: A serial attention module‐based deep convolutional neural network for mixed Gaussian‐impulse removalInfluential work since 2022
- Pick up a classic book: Commodore care manualThe most-reprinted book on the subject
- Read the landmark paper: Generalized serial dilution module for monotonic and arbitrary microfluidic gradient generatorsCited 141 times
- Go sideways: Quasi-Frobenius ringA closely related topic
- Go sideways: Uniform moduleA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Generalized serial dilution module for monotonic and arbitrary microfluidic gradient generators
Modeling of photovoltaic module and experimental determination of serial resistance
Simulation of enhanced power generation by reverse electrodialysis stack module in serial configuration
Analysis of Pre-Crash Data Transferred over the Serial Data Bus and Utilized by the SDM-DS Module
Phase change material based ventilation module - Numerical study and experimental validation of serial design
Serial-module with hydrophilic and hydrophobic membranes applied for oil recovery from O/W emulsion
A novel slider-crank spring gravity balance module for 1-DOF rotary link and its application to serial manipulators
Signal integrity analysis of system interconnection module of high‐density server supporting serial RapidIO
🆕 Influential since 2022
A serial attention module‐based deep convolutional neural network for mixed Gaussian‐impulse removal
Perancangan Water Level Sensor Module Menggunakan MQTT Over WiFi dan Serial Communication
Weakly (uni)serial modules
Implementation of SPI Serial Communication Module for Virtual Experiments
Investigating the operational margin of ATLAS ITk pixel module serial powering
📚 Books worth reading
Commodore care manualChris Morrison · 1988
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Quasi-Frobenius ring In mathematics, especially ring theory, the class of Frobenius rings and their generalizations are the extension of work done on Frobenius algebras. Perhaps…
- Uniform module In abstract algebra, a module is called a uniform module if the intersection of any two nonzero submodules is nonzero. This is equivalent to saying that…
- Semisimple module In mathematics, especially in the area of abstract algebra known as module theory, a semisimple module or completely reducible module is a type of module…
- 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…
- Decomposition of a module In abstract algebra, a decomposition of a module is a way to write a module as a direct sum of modules. A type of a decomposition is often used to define…
- Artinian ring In mathematics, specifically abstract algebra, an Artinian ring (sometimes Artin ring) is a ring that satisfies the descending chain condition on (one-sided)…
- Noncommutative ring In mathematics, a noncommutative ring is a ring whose multiplication is not commutative; that is, there exist a and b in the ring such that ab and ba are…
- Endomorphism ring In mathematics, the endomorphisms of an abelian group X form a ring. This ring is called the endomorphism ring of X, denoted by End(X); the set of all…