Category:Definitions/Examples of Rings
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This category contains definitions of examples of rings in the context of Abstract Algebra.
A ring $\struct {R, *, \circ}$ is a semiring in which $\struct {R, *}$ forms an abelian group.
That is, in addition to $\struct {R, *}$ being closed, associative and commutative under $*$, it also has an identity, and each element has an inverse.
Subcategories
This category has the following 2 subcategories, out of 2 total.
R
- Definitions/Rings of Mappings (10 P)
- Definitions/Rings of Sequences (12 P)
Pages in category "Definitions/Examples of Rings"
The following 13 pages are in this category, out of 13 total.
R
- Definition:Ring of Arithmetic Functions
- Definition:Ring of Cauchy Sequences
- Definition:Ring of Eisenstein Integers
- Definition:Ring of Gaussian Integers
- Definition:Ring of Integers Modulo m
- Definition:Ring of Linear Operators
- Definition:Ring of Mappings
- Definition:Ring of Sequences
- Definition:Ring of Sequences of Finite Support