In
algebra
Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics.
Elementary a ...
, a linear topology on a left
-module
is a
topology
In mathematics, topology (from the Greek language, Greek words , and ) is concerned with the properties of a mathematical object, geometric object that are preserved under Continuous function, continuous Deformation theory, deformations, such ...
on
that is invariant under translations and admits a fundamental system of neighborhood of
that consists of submodules of
If there is such a topology,
is said to be linearly topologized. If
is given a discrete topology, then
becomes a
topological -module with respect to a linear topology.
See also
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References
* Bourbaki, N. (1972). Commutative algebra (Vol. 8). Hermann.
Topology
Topological algebra
Topological groups
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