Results 301 to 310 of about 189,422 (333)

Algebras over Fields

1973
This chapter is a brief introduction into the structure of algebras, mostly finite dimensional, over any field k. The main contents are the Wedderburn theorems for a finite dimensional algebras A over an algebraically closed field k. If A has no nilpotent ideals ≠ 0, then A is a finite product of total matrix algebras over k. In this case, the set d (A)
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On ω-Lie superalgebras

Journal of Algebra and its Applications, 2017
Let [Formula: see text] be a finite-dimensional vector space over a field [Formula: see text] of characteristic zero, [Formula: see text] an anti-commutative product on [Formula: see text] and [Formula: see text] a bilinear form on [Formula: see text ...
J. Zhou, Liangyun Chen, Yao Ma, B. Sun
semanticscholar   +1 more source

Some Remarks on Algebras Over an Algebraically Closed Field

The Annals of Mathematics, 1943
The theory of rings with radicals is an interesting and far reaching problem of modern algebra.' In this paper we have examined some aspects of algebras which may have radicals and whose coefficient fields are algebraically closed. Some of the methods employed clearly could be used for less restricted algebras, but a full extension of the results ...
W. M. Scott, C. Nesbitt
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QUANDLE G-ALGEBRA OVER A FIELD

, 2020
A. Alghamdi, Amani M. Alfadhli
semanticscholar   +1 more source

Simple algebras over local fields

1967
Let D be a division algebra of finite dimension over any field K; we will consider left vector-spaces over D, whose dimension will always be assumed finite and
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Irreducible representations of a simple three-dimensional lie algebra over a field of finite characteristic

, 1967
A. Rudakov, I. Shafarevich
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Finite Semigroups whose Semigroup Algebra over a Field Has a Trivial Right Annihilator

, 2014
A. Nagy, L. Rónyai
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The Group of Automorphisms of a Semisimple Hopf Algebra Over a Field of Characteristic 0 is Finite

, 1990
D. Radford
semanticscholar   +1 more source

Finiteness of basis of identities of a finitely generated alternative PI-algebra over a field of characteristic zero

, 1991
A. Il'tyakov
semanticscholar   +1 more source

Finite basing of the identities of a matrix algebra of second order over a field of characteristic zero

, 1973
Yu. P. Razmyslov
semanticscholar   +1 more source