Results 11 to 20 of about 2,499,965 (359)
Square Roots in Banach Algebras [PDF]
A complex number which is not a nonpositive real number has a unique square root in the right half-plane. In this paper, we obtain an extension of this observation to general (complex) Banach algebras. Since the elements we study are regular, and have logarithms, the existence of square roots is not at stake.
L. Terrell Gardner
openalex +2 more sources
The Square-Zero Basis of Matrix Lie Algebras [PDF]
A method is presented that allows one to compute the maximum number of functionally-independent invariant functions under the action of a linear algebraic group as long as its Lie algebra admits a basis of square-zero matrices even on a field of positive
Raúl Durán Díaz+3 more
doaj +4 more sources
On EMV-algebras with square roots [PDF]
A square root is a unary operation with some special properties. In the paper, we introduce and study square roots on EMV-algebras. First, the known properties of square roots defined on MV-algebras will be generalized for EMV-algebras, and we also find some new ones for MV-algebras. We use square roots to characterize EMV-algebras.
Anatolij Dvurečenskij, Omid Zahiri
openalex +3 more sources
On square-preserving isometries of convolution algebras [PDF]
Let S S and S ′ S’ be two semigroups, each contained in a locally compact group. Under certain conditions on S S and S ′ S’ , we shall characterize those isometric additive surjections T : M ( S )
Sadahiro Saeki
openalex +3 more sources
Compact Kac Algebras and Commuting Squares
We consider commuting squares of finite dimensional von Neumann algebras having the algebra of complex numbers in the lower left corner. Examples include the vertex models, the spin models (in the sense of subfactor theory) and the commuting squares associated to finite dimensional Kac algebras.
Teodor Banica
openalex +4 more sources
On the action of Steenrod squares on polynomial algebras [PDF]
Let P s {P_s} be the mod − 2 \bmod - 2 cohomology of the elementary abelian group ( Z / 2 Z ) × ⋯ × ( Z / 2 Z ) (Z/2Z)
William M. Singer
openalex +3 more sources
The subconstituent algebra of a Latin square
AbstractIt is well-known that one may construct a 4-class association scheme on the positions of a Latin square, where the relations are the identity, being in the same row, being in the same column, having the same entry, and everything else. We describe the subconstituent (Terwilliger) algebras of such an association scheme.
Brian Curtin, Ibtisam Daqqa
openalex +3 more sources
Classifying torsion classes for algebras with radical square zero via sign decomposition
Toshitaka Aoki
openalex +3 more sources
To help students in solving the linear equations in one variable, teacher can use a learning media such as algebra tiles. Algebra tiles are square and rectangle-shaped tiles that represent numbers and variables.
Dyah Sinto Rini
doaj +1 more source