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In mathematics, a semimodule over a semiring R is an algebraic structure analogous to a module over a ring, with the exception that it forms only a commutative monoid with respect to its addition operation, as opposed to an abelian group.
Examples, Definition & Overview
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ring module commutative monoid semiring r-semimodule displaystyle right abelian group axioms mathematics left last follows semimodules way algebraic structure analogous
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Semimodule | related to Definition | Formally | 0.60 | section |
| Semimodule | related to Definition | R-semimodule | 0.60 | section |
| Semimodule | related to Examples | If | 0.60 | section |
| Semimodule | related to Examples | R-module | 0.60 | section |
| Semimodule | related to Examples | R-semimodule | 0.60 | section |
| Semimodule | related to Examples | Conversely | 0.60 | section |
| Semimodule | related to Examples | Any | 0.60 | section |
| Semimodule | related to Examples | Every | 0.60 | section |
| Semimodule | related to References | Lock-green | 0.60 | section |
| Semimodule | related to References | Lock-gray-alt-2 | 0.60 | section |
| Semimodule | related to References | Lock-red-alt-2 | 0.60 | section |
| Semimodule | related to References | Wikisource-logo | 0.60 | section |
These clusters group vocabulary that occurs around closely connected concepts in the source material.
Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.