Results 101 to 110 of about 267,178 (229)
Gaussian Integers, Rings, Finite Fields, and the Magic Square of Squares [PDF]
We show the 3 by 3 magic square of squares problem equivalent to solving quartic polynomials with certain factorization constraints over an abelian extension of the rationals. We analyze a particular case in which said extension is assumed to be the Gaussian integers resulting a new search method.
arxiv
Square roots of products of algebraic numbers [PDF]
Peter L. Montgomery
openalex +1 more source
On commutative 𝐶*-algebras in which every element is almost the square of another [PDF]
Takeshi Miura
openalex +1 more source
Periodic commuting squares of finite von Neumann algebras [PDF]
Atsushi Sakuramoto
openalex +1 more source
Approximating the principal matrix square root using some novel third-order iterative methods
It is known that the matrix square root has a significant role in linear algebra computations arisen in engineering and sciences. Any matrix with no eigenvalues in R- has a unique square root for which every eigenvalue lies in the open right half-plane ...
Amir Sadeghi
doaj
Singularities of square-free polynomials [PDF]
We prove that hypersurfaces defined by irreducible square-free polynomials have rational singularities.
arxiv
SQUARES IN THE CENTRE OF THE GROUP ALGEBRA OF A SYMMETRIC GROUP [PDF]
John Murray
openalex +1 more source
The limit of a sequence of squares in an algebra need not be a square [PDF]
openaire +2 more sources
Commutative Algebras with One-Dimensional Square
Abstract In this paper, we classify and study commutative algebras having a one-dimensional square. In finite dimension (see Theorem 3.9) besides some cases (which are all associative and nilpotent with nilpotency index 3), the algebras with zero annihilator are either of symplectic type (appearing only in characteristic 2), or evolution ...
Martín-Barquero, Dolores+2 more
openaire +2 more sources
Integrable and proper actions on C*-algebras, and square-integrable representations of groups [PDF]
Marc A. Rieffel
openalex +1 more source