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Results tagged with ra.rings-and-algebras
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user 157261
Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups. For questions specific to commutative algebra (that is, rings that are assumed both associative and commutative), rather use the tag ac.commutative-algebra.
2
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Accepted
More vocabulary for periodic elements in monoids
Question 1: See Clifford and Preston, volume 1.
Question 2: $m$ is the period, $n$ is called the index of the element. See this Wikipedia text.
Question 3: If $n=1$, the element is called a group elem …
- 1,832
15
votes
Subsets of the integers which are closed under multiplication
That is because the semigroup $({\mathbb Z},\times)$ contains the semigroup $({\mathbb N},+)^\infty$ as an isomorphic copy. In contrast, most of the subsemigroups of $({\mathbb Z},+)$ are isomorphic …
- 1,832