This article relies largely or entirely on a single source. (May 2024) |
In algebra, a linear topology on a left -module is a topology 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
edit- Ordered topological vector space
- Ring of restricted power series – Formal power series with coefficients tending to 0
- Topological abelian group – concept in mathematics
- Topological field – Algebraic structure with addition, multiplication, and division
- Topological group – Group that is a topological space with continuous group action
- Topological module
- Topological ring – ring where ring operations are continuous
- Topological semigroup – semigroup with continuous operation
- Topological vector space – Vector space with a notion of nearness
References
edit- Bourbaki, N. (1972). Commutative algebra (Vol. 8). Hermann.