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Results tagged with ra.rings-and-algebras
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user 4262
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.
3
votes
Lattice of subcategories: subobject classifier in Cat
Remember that $\mathbf{2}$ is (classically) the subobject classifier in Set, so that there is a natural bijection $\mathrm{Sub}(X) \cong \hom(X,\mathbf{2})$ given by pulling back along $\mathrm{true} …
- 3,622
2
votes
Is there a notion of congruence relation for essentially algebraic structures?
There is an internal definition of congruence (q.v.) that works for any category. The categories of (Set-)models of finite limit sketches are exactly the locally finitely presentable categories, whic …
- 3,622