Results 41 to 50 of about 4,735 (303)
Determinants as Combinatorial Summation Formulas over an Algebra with a Unique $n$-ary Operation
Известия Иркутского государственного университета: Серия "Математика", 2018 Since the late 1980s the author has published a number of results on matrix functions, which were obtained using the generating functions, mixed discriminants (mixed volumes in $\mathbb R^n$), and the well-known polarization theorem (the most general ...
G.P. Egorychev
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On Z_2-graded polynomial identities of the Grassmann Algebra [PDF]
, 2009 The Grassmann algebra, E, generated by an infinite dimensional vector space, L, and its Z2-graded polynomial identities play an important role in Kemer’s structure theory on varieties of associative algebras with polynomial identities.
V. R. T. da SILVA +5 more
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Generalizations of Ostrowski type inequalities via Hermite polynomials
Journal of Inequalities and Applications, 2020 We present new generalizations of the weighted Montgomery identity constructed by using the Hermite interpolating polynomial. The obtained identities are used to establish new generalizations of weighted Ostrowski type inequalities for differentiable ...
Ljiljanka Kvesić +2 more
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Graded polynomial identities of matrices [PDF]
, 2002 We consider G-graded polynomial identities of the p×p matrix algebra Mp(K) over a field K of characteristic 0 graded by an arbitrary group G. We find relations between the G-graded identities of the G-graded algebra Mp(K) and the (G×H)-graded identities ...
Bahturin, Yuri, Drensky, Vesselin
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On Certain Mathematical Problems in Two-Photon Laser Scanning Microscopy
Mathematical Modelling and Analysis, 2017 In an earlier paper, we derived the distribution of the number of photons detected in two-photon laser scanning microscopy when the counter has a dead period.
Burcin Simsek, Satish Iyengar
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Trace identities and almost polynomial growth [PDF]
, 2021 In this paper we study algebras with trace and their trace polynomial identities over a field of characteristic 0. We consider two commutative matrix algebras: D2, the algebra of 2×2 diagonal matrices and C2, the algebra of 2×2 matrices generated by e11 ...
Ioppolo A., Koshlukov P., La Mattina D.
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Polynomial Identities of RA2 Loop Algebras [PDF]
, 1999 In this paper we study the polynomial identities of the loop algebra of some RA2 loops of order ...
Juriaans, S.O, Peresi, L.A
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On a generalization of the Hosoya triangle [PDF]
Notes on Number Theory and Discrete MathematicsThis paper introduces the Fibonacci polynomial triangle, inspired by the structure of the Hosoya triangle and constructed using Fibonacci polynomials.
Turhan Çifçi +2 more
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Multialternating graded polynomials and growth of polynomial identities [PDF]
Proceedings of the American Mathematical Society, 2013 Let G G be a finite group and
Aljadeff, E, GIAMBRUNO, Antonino
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Superalgebras: Polynomial identities and asymptotics
Journal of Algebra, 2022 Let \(A\) be an associative superalgebra, one attaches to it the \textit{sequence of supercodimensions} \(c_n^{\sup}(A)\), \(n \ge1\). In case of characteristic zero, it is well known that for a PI-superalgebra such a sequence is exponentially bounded, and the limit \(\exp^{\sup}(A) = \lim_{n\to\infty}\sqrt[n]{c_n^{\sup}(A)}\) exists and is an integer ...
Giambruno A., La Mattina D.
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