(mathematics) A module over a commutative ring with a bilinear product satisfying the Leibniz identity.

(mathematics) A complete Boolean algebra having a continuous submeasure (also known as a Maharam submeasure).

Used other than figuratively or idiomatically: see algebraic, analysis.; the use of techniques from algebra (especially elementary algebra) to analyse and solve problems.

(algebra, combinatorics) A branch of mathematics in which techniques from abstract algebra are applied to problems in combinatorics, and vice versa.

(mathematics, statistics) A discipline within mathematical statistics in which algebra is used to describe and analyse problems;

(algebra, mathematical physics) A unital associative algebra which generalizes the algebra of quaternions but which is not necessarily a division algebra; it is generated by a set of 𝛾ᵢ (with i ranging from, say, 1 to n) such that the square of each 𝛾ᵢ is fixed to be either +1 or −1, depending on each i, and such that any product 𝛾ᵢ𝛾ⱼ anticommutes when its factors are distinct (i.e., when i ne j).

(algebra) The branch of mathematics dealing with homology and in particular with homological functors and the algebraic structures they entail.

plural of algebraic notation

plural of algebraic integer

(mathematics, number theory) The branch of number theory in which number-theoretic questions are expressed in terms of properties of algebraic number fields or related objects, and studied using techniques from algebra.