बीजगणित-के-ढंग-पर इसके अंग्रेजी अर्थ का उदाहरण

A significant algebraist, he proved that a finite division algebra is a field, and part of the Artin–Wedderburn theorem on simple algebras.

The proofs all made clever use of the interplay between the additive group of a finite division algebra A, and the multiplicative group A* A-{0}.

Karen Parshall (1983) "In pursuit of the finite division algebra theorem and beyond: Joseph H M Wedderburn, Leonard Dickson, and Oswald Veblen," Archives of International History of Science 33: 274–99.

1951 in Singapore In mathematics, Clifford's theorem on special divisors is a result of on algebraic curves, showing the constraints on special linear systems on a curve C.

In positive characteristic it is possible for the endomorphism ring to be even larger: it can be an order in a quaternion algebra of dimension 4, in which case the elliptic curve is supersingular.

Supersingular elliptic curves have many endomorphisms over the algebraic closure \overline{K} in the sense that an elliptic curve is supersingular if and only if its endomorphism algebra (over \overline{K}) is an order in a quaternion algebra.

Its invariant is then defined as the product of the classes in the Brauer group of all the quaternion algebras.

The conformal group of spacetime can be represented with homographies where A is the composition algebra of biquaternions.

The Serre spectral sequence is covered in most textbooks on algebraic topology, e.

It is known that Nagata's conjecture on algebraic curves is equivalent to the assertion that for more than nine general points, the Seshadri constants of the projective plane are maximal.

, Quantization of Poisson algebras associated to Lie algebroids, in Proc.

Every textbook on elementary number theory (and quite a few on algebraic number theory) has a proof of quadratic reciprocity.

Railway lines closed in 1940 In mathematics, the discussion of vector fields on spheres was a classical problem of differential topology, beginning with the [ball theorem], and early work on the classification of division algebras.