Search for "Universal algebra" in article titles:

1. Universal algebra: An algebraic system with an empty set of relations. A universal algebra is frequently simply called an algebra. (Mathematics) [100%] 2023-10-12
2. Simple algebra (universal algebra): In universal algebra, an abstract algebra A is called simple if and only if it has no nontrivial congruence relations, or equivalently, if every homomorphism with domain A is either injective or constant. As congruences on rings are characterized by ... (Universal algebra) [85%] 2023-12-11 [Algebras] [Ring theory]...
3. Universal enveloping algebra: of a Lie algebra $ \mathfrak{g} $ over a commutative ring $ \mathbb{k} $ with a unit element The associative $ \mathbb{k} $-algebra $ U(\mathfrak{g}) $ with a unit element, together with a mapping $ \sigma: \mathfrak{g} \to U(\mathfrak{g}) $ for ... (Mathematics) [81%] 2023-10-08
4. Universal geometric algebra: In mathematics, a universal geometric algebra is a type of geometric algebra generated by real vector spaces endowed with an indefinite quadratic form. Some authors restrict this to the infinite-dimensional case. [81%] 2023-12-29 [Geometric algebra]
5. Universal enveloping algebra: In mathematics, the universal enveloping algebra of a Lie algebra is the unital associative algebra whose representations correspond precisely to the representations of that Lie algebra. Universal enveloping algebras are used in the representation theory of Lie groups and Lie ... [81%] 2023-11-11 [Ring theory] [Hopf algebras]...
6. Variety (universal algebra): In universal algebra, a variety of algebras or equational class is the class of all algebraic structures of a given signature satisfying a given set of identities. For example, the groups form a variety of algebras, as do the abelian ... (Universal algebra) [81%] 2024-02-27 [Universal algebra]
7. Variety (universal algebra): In universal algebra, a variety of algebras or equational class is the class of all algebraic structures of a given signature satisfying a given set of identities. For example, the groups form a variety of algebras, as do the abelian ... (Universal algebra) [81%] 2024-05-08 [Universal algebra]