Results 81 to 90 of about 7,762 (209)

On the cartan subalgebra of a Lie algebra [PDF]

, 1983
The task of actually constructing a Cartan subalgebra H of a finite dimensional Lie algebra L over a field F (which is assumed to be p-restricted in case F has characteristic p) leads to a new theorem implying the method of construction, viz.: If X is a ...
Zassenhaus, Hans
core   +1 more source

Cubic Interval-Valued Intuitionistic Fuzzy Sets and Their Application in BCK/BCI-Algebras

Axioms, 2018
As a new extension of a cubic set, the notion of a cubic interval-valued intuitionistic fuzzy set is introduced, and its application in B C K / B C I -algebra is considered. The notions of α -internal, β -internal, α -external and
Young Bae Jun, Seok-Zun Song, Seon Jeong Kim   +2 more
doaj   +1 more source

Graded subalgebras associated with a subalgebra of a graded free lie algebra

Journal of Pure and Applied Algebra, 1985
If \(L=\oplus_{n\geq 1}L^ n\) is a graded free Lie algebra over a field K and A is a subalgebra of L, let gr A (resp. Gr A) denote the subalgebra of L generated by the homogeneous components of minimum (resp. maximum) degree of elements of A. It is shown that for any positive integer r, gr \(A_ r=(gr A)_ r\) and Gr \(A_ r=(Gr A)_ r\) where \(B_ r ...
openaire   +3 more sources

Some subalgebra theorems [PDF]

, 1973
Let E be a subalgebra of a free associative algebra F (with unit element) over a field K. Let E̊ denote the subalgebra of F generated by the components of highest degree of all elements of E.
Moran, Siegfried
core   +1 more source

On the subalgebra lattice of a Leibniz algebra [PDF]

, 2022
In this paper we begin to study the subalgebra lattice of a Leibniz algebra. In particular, we deal with Leibniz algebras whose subalgebra lattice is modular, upper semi-modular, lower semi-modular, distributive, or dually atomistic.
Towers, David, Siciliano, Salvatore
core   +1 more source

ON SOME UNARY ALGEBRAS AND THEIR SUBALGEBRA LATTICES [PDF]

, 2006
We first define lattices, called normal, which are uniquely represented by directed graphs. Secondly, we describe all unary algebras (called normal, too) such that their subalgebra lattices are normal.
Konrad Pióro, Pióro, Konrad
core  

Maximal subalgebra of Douglas algebra [PDF]

, 1987
When q is an interpolating Blaschke product, we find necessary and sufficient conditions for a subalgebra B of H∞[q¯] to be a maximal subalgebra in terms of the nonanalytic points of the noninvertible interpolating Blaschke products in B. If the set M(B)⋂
Carroll J. Gullory
core   +1 more source

On the Strong Atoms of Q-Algebras

Axioms
The concept of strong atoms in Q-algebras is discussed herein. In this work, some properties of strong atoms are provided. We show that there is no Q-algebra X with |X|≥3 such that all elements are strong atoms.
Kittisak Saengsura, Napaporn Sarasit, Ananya Anantayasethi   +2 more
doaj   +1 more source

The invariants of the third symmetric power representation of SL_2(F_p) [PDF]

, 2010
For a prime p>3, we compute a finite generating set for the SL_2(F_p)-invariants of the third symmetric power representation. The proof relies on the construction of an infinite SAGBI basis and uses the Hilbert series calculation of Hughes and ...
R. James Shank, Shank, R. James, Hobson, Ashley, Ashley Hobson   +3 more
core   +1 more source

A subalgebra condition in Lie-admissible algebras

, 1976
Let A A be a finite-dimensional, flexible, Lie-admissible algebra over a field Φ \Phi of characteristic ≠ 2 \ne 2 . Let S S be a subalgebra of
Hyo Chul Myung
core   +1 more source