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POLYNOMIAL AND GROUP IDENTITIES IN ALTERNATIVE LOOP ALGEBRAS
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2008)
We investigate polynomial identities on an alternative loop algebra and group identities on its (Moufang) unit loop. An alternative loop ring always satisfies a polynomial identity, whereas whether or not a unit loop ...
Discriminants of polynomials and of quadratic forms
(1981)
In this paper we describe the quadratic forms over any field k which admit a similarity with a given separable characteristic polynomial f(X) as the transfer of some binary quadratic form associated to the polynomial f(X). ...
Graded identities and PI equivalence of algebras in positive characteristic
(Taylor & Francis IncPhiladelphiaEUA, 2005)
Graded identities of block-triangular matrices
(Academic Press Inc Elsevier Science, 2016)
Let F be an infinite field and UT(d(1),..., d(n)) be the algebra of upper block-triangular matrices over F. In this paper we describe a basis for the C-graded polynomial identities of UT(d(1),..., d(n)), with an elementary ...
Standard Polynomials And Matrices With Superinvolutions
(Elsevier Science INCNew York, 2016)
Standard Polynomials And Matrices With Superinvolutions
(ELSEVIER SCIENCE INCNEW YORK, 2016)
Identidades e polinômios centrais com involução para a álgebra de Grassmann e álgebra das matrizes triangulares de ordem 3
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2020-11-30)
Let F be an infinite field of characteristic different from 2. In this thesis we will study the polynomial identities and central polynomials with involution for two important classes of algebras. More precisely, we describe ...
On the computation of LFSR characteristic polynomials for built-in deterministic test pattern generation
(IEEE Computer Society, 2016)
In built-in test pattern generation and test set compression, an LFSR is usually employed as the on-chip generator with an arbitrarily selected characteristic polynomial of degree equal, according to a popular rule, to ...
Graded central polynomials for the matrix algebra of order two
(Springer WienWienAustria, 2009)
The distribution of factorization patterns on linear families of polynomials over a finite field
(Springer, 2017-10)
We estimate the number |Aλ| of elements on a linear family A of monic polynomials of Fq[T] of degree n having factorization pattern λ:=1λ12λ2nλn. We show that |Aλ| = T(λ)qn-m + O(qn-m-1/2), where T(λ) is the proportion of ...