Results 31 to 40 of about 3,220,446 (374)
On the Lie structure of locally matrix algebras
Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $A$ be a unital locally matrix algebra over a field $\mathbb{F}$ of characteristic different from $2.$ We find a necessary and sufficient condition for the Lie algebra $A\diagup\mathbb{F}\cdot 1$ to be simple and for the Lie algebra of derivations ...
O. Bezushchak
doaj +1 more source
Deformations of the three-dimensional Lie algebra sl(2)
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 Deformation is one of key questions of the structural theory of algebras over a field. Especially, it plays a important role in the classification of such algebras.
A.A. Ibrayeva +2 more
doaj +1 more source
On the derivations of cyclic Leibniz algebras
Karpatsʹkì Matematičnì Publìkacìï, 2022 Let $L$ be an algebra over a field $F$. Then $L$ is called a left Leibniz algebra, if its multiplication operation $[-,-]$ additionally satisfies the so-called left Leibniz identity: $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all elements $a,b,c\in L$. A linear
M.M. Semko, L.V. Skaskiv, O.A. Yarovaya
doaj +1 more source
Existence of Split Property in Quaternion Algebra Over Composite of Quadratic Fields
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 Quaternions are extensions of complex numbers that are four-dimensional objects. Quaternion consists of one real number and three complex numbers, commonly denoted by the standard vectors and .
Muhammad Faldiyan +2 more
doaj +1 more source
On the group of automorphisms of the algebra of plural numbers
Дифференциальная геометрия многообразий фигур, 2023 The algebra of dual numbers was first introduced by V. K. Clifford in 1873. The algebras of plural and dual numbers are analogous to the algebra of complex numbers. Dual numbers form an algebra, but not a field, because only dual numbers with a real part
A. Ya. Sultanov +2 more
doaj +1 more source
A commutative Noetherian Hopf algebra over a field is finitely generated
, 1975 Let k be an arbitrary field and H a commutative Hopf algebra over k. We give a short proof of the fact that H is Noetherian if and only if H is finitely generated as a k-algebra. In [4] M.
R. Molnar
semanticscholar +1 more source
Blocks with quaternion defect group over a 2-adic ring: the case \tilde{A}_4 [PDF]
, 2007 Except for blocks with a cyclic or Klein four defect group, it is not known in general whether the Morita equivalence class of a block algebra over a field of prime characteristic determines that of the corresponding block algebra over a p-adic ring.
Broué +6 more
core +1 more source
ALGEBRAIC DIVISIBILITY SEQUENCES OVER FUNCTION FIELDS [PDF]
Journal of the Australian Mathematical Society, 2012 AbstractIn this note we study the existence of primes and of primitive divisors in function field analogues of classical divisibility sequences. Under various hypotheses, we prove that Lucas sequences and elliptic divisibility sequences over function fields defined over number fields contain infinitely many irreducible elements.
Ingram, P. +4 more
openaire +6 more sources
On the constructions of Tits and Faulkner: an isomorphism theorem
International Journal of Mathematics and Mathematical Sciences, 2001 Classification theory guarantees the existence of an isomorphism between any two E8's, at least over an algebraically closed field of characteristic 0.
Sudhir R. Nath
doaj +1 more source
Derivations with invertible values in flexible algebras
Boletim da Sociedade Paranaense de Matemática, 2019 Derivations with invertible values of 0 – torsion flexible algebras satisfying x(yz) = (xz)y over an algebraically closed field are described. For this class of algebra with unit element 1 and derivation with invertible value d is either a Cayley ...
Gangireddy Lakshmi Devi, K. Jayalakshmi
doaj +1 more source