Results 11 to 20 of about 2,499,965 (359)
Square Roots in Banach Algebras [PDF]
Proceedings of the American Mathematical Society, 1966 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
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The Square-Zero Basis of Matrix Lie Algebras [PDF]
Mathematics, 2020 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
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On EMV-algebras with square roots [PDF]
Journal of Mathematical Analysis and Applications, 2023 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
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On square-preserving isometries of convolution algebras [PDF]
Transactions of the American Mathematical Society, 1994 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
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Compact Kac Algebras and Commuting Squares
Journal of Functional Analysis, 2000 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
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On the action of Steenrod squares on polynomial algebras [PDF]
Proceedings of the American Mathematical Society, 1991 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
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The subconstituent algebra of a Latin square
European Journal of Combinatorics, 2008 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
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Classifying torsion classes for algebras with radical square zero via sign decomposition
Journal of Algebra, 2022 Toshitaka Aoki
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Southeast Asian Mathematics Education Journal, 2022 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
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