We work over an algebraically closed
field of arbitrary characteristic throughout this paper.
In a three-volume work, Strade classifies the simple Lie algebras over an algebraically closed
field of characteristic p equal to or larger than 3, in the sense that he presents a list of simple Lie algebras and a proof that this list is complete.
Throughout H is a d-dimensional semisimple Hopf algebra over an algebraically closed
field k of characteristic 0 and H* is its dual which is a semisimple Hopf algebra as well.
Poonen, Isomorphism types of commutative algebras of finite rank over an algebraically closed
Throughout this paper, k is an algebraically closed
field, A is a finite dimensional k-algebra.
Specific examples of such classes are: the class of rings or the class of algebraically closed
of Newfoundland, Canada) introduce theory of gradings on Lie algebras, with a focus on classifying gradings on simple finite-dimensional Lie algebras over algebraically closed
Now let K denote an algebraically closed
field of characteristic 0 with K[x] the corresponding polynomial ring and
The equation (24) admits certainly a solution, in the body C algebraically closed
Let n be a positive integer, and let V be a 2n-dimensional vector space over an algebraically closed
field K of characteristic 0.
Thus we may assume that R is centrally closed over C which is either finite or algebraically closed
and f(x, y) = 0 for all x, y [member of] R.
Throughout this paper K is an algebraically closed
field of characteristic 0.