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On quasi-identities of finite modular lattices. II [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 The existence of a finite identity basis for any finite lattice was established by R. McKenzie in 1970, but the analogous statement for quasi-identities is incorrect.
A.O. Basheyeva, S.M. Lutsak
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Quasi-identities on matrices and the Cayley-Hamilton polynomial [PDF]
Advances in Mathematics, 2014 We consider certain functional identities on the matrix algebra $M_n$ that are defined similarly as the trace identities, except that the "coefficients" are arbitrary polynomials, not necessarily those expressible by the traces.
Brešar, Matej +2 more
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On quasi-identities of finite modular lattices
Вестник КазНУ. Серия математика, механика, информатика, 2022 In 1970 R. McKenzie proved that any finite lattice has a finite basis of identities. However the similar result for quasi-identities is not true. That is there is a finite lattice that has no finite basis of quasi-identities.
S. Lutsak, O. Voronina, G. Nurakhmetova
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Finite simple monogenic entropic quasigroups with quasi-identity [PDF]
Demonstratio Mathematica, 2011 Abstract In this paper we describe finite simple monogenic entropic quasigroups with quasi-identity.
Bińczak, G., Kaleta, J.
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An international portrait of pharmacists' professional role identities: A Q-methodology innovative study [PDF]
Exploratory Research in Clinical and Social PharmacyBackground: Professional identities shape who pharmacists are, what they do, and what they stand for as professionals. Novel research methodologies have potential to illuminate pharmacists' professional identity and roles in new and innovative ways. This
Kaitlyn E. Watson +4 more
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Some finite directly indecomposable non-monogenic entropic quasigroups with quasi-identity
Discussiones Mathematicae - General Algebra and Applications, 2014 In this paper we show that there exists an infinite family of pairwise non-isomorphic entropic quasigroups with quasi-identity which are directly indecomposable and they are two-generated.
Grzegorz Bińczak, Joanna Kaleta
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Quasi-Polynomials of Capelli. II [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020 This paper observes the continuation of the study of a certain kind of polynomials of type Capelli (Capelli quasi-polynomials) belonging to the free associative algebra F{X S Y } considered over an arbitrary field F and generated by two disjoint ...
Stepan Yuryevich Antonov +1 more
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On quasi-Herglotz functions in one variable
Comptes Rendus. Mathématique, 2022 In this paper, the class of (complex) quasi-Herglotz functions is introduced as the complex vector space generated by the convex cone of ordinary Herglotz functions. We prove characterization theorems, in particular, an analytic characterization.
Luger, Annemarie, Nedic, Mitja
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Hyperbolic Horadam hybrid functions [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 The aim of this paper is to introduce the hybrid form of the hyperbolic Horadam function and to investigate some of its properties such as the generating function.
Efruz Özlem Mersin
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Quasi-Herglotz functions and convex optimization [PDF]
Royal Society Open Science, 2020 We introduce the set of quasi-Herglotz functions and demonstrate that it has properties useful in the modelling of non-passive systems. The linear space of quasi-Herglotz functions constitutes a natural extension of the convex cone of Herglotz functions.
Y. Ivanenko +5 more
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