Results 21 to 30 of about 18,642 (313)

Linear Algebra and Smarandache Linear Algebra [PDF]

, 2003
The present book, on Smarandache linear algebra, not only studies the Smarandache analogues of linear algebra and its applications, it also aims to bridge the need for new research topics pertaining to linear algebra, purely in the algebraic sense.
Vasantha, Kandasamy
core   +1 more source

Ordinary K3 surfaces over a finite field [PDF]

, 2020
We give a description of the category of ordinary K3 surfaces over a finite field in terms of linear algebra data over Z. This gives an analogue for K3 surfaces of Deligne's description of the category of ordinary abelian varieties over a finite field ...
Taelman, Lenny
core   +1 more source

Uniqueness of A-infinity structures and Hochschild cohomology [PDF]

, 2011
Working over a commutative ground ring, we establish a Hochschild cohomology criterion for uniqueness of derived A-infinity algebra structures in the sense of Sagave.
Whitehouse, Sarah, Roitzheim, C., Roitzheim, Constanze, Constanze Roitzheim, Whitehouse, S., Sarah Whitehouse   +5 more
core   +1 more source

Graded Identities For The Algebra Of N × N Upper Triangular Matrices Over An Infinite Field

, 2015
We consider the algebra Un(K) of n × n upper triangular matrices over an infinite field K equipped with its usual ℤ n-grading. We describe a basis of the ideal of the graded polynomial identities for this algebra.135517526Andrews, G., The theory of ...
Valenti A., Koshlukov P.
core   +2 more sources

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]

Adv Intell Discov
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc   +2 more sources

Lie 2-algebra models [PDF]

, 2014
In this paper, we begin the study of zero-dimensional field theories with fields taking values in a semistrict Lie 2-algebra. These theories contain the IKKT matrix model and various M-brane related models as special cases.
Saemann, Christian; id_orcid, Christian Sämann, Ritter, Patricia, Patricia Ritter   +3 more
core   +1 more source

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

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, Ema Carnia, Asep Kuswandi Supriatna   +2 more
doaj   +1 more source

ON NILALGEBRAS OVER INFINITE FIELD WITH SOLVABLE ASSOCIATED GROUP

Наука и техника, 2006
It is proved that if an associated group A* of a nilalgebra A over an infinite field is solvable of class n then algebra A is solvable of the same class n as the Lie algebra.
M. B. Smirnov
doaj   +1 more source

On degenerations of algebras over an arbitrary field

Advances in Group Theory and Applications, 2017
7
Ivanova, Nataliya M., Pallikaros, Christakis A., Ivanova, Nataliya M., Pallikaros, Christakis A.   +3 more
openaire   +4 more sources