Results 1 to 10 of about 281 (135)
Translation dual of a semifield
Journal of Combinatorial Theory - Series A, 2008 A new description of the translation dual of a semifield introduced by \textit{G. Lunardon} [J. Geom. 76, No. 1--2, 200--215 (2003; Zbl 1042.51008)] is presented. Using this description, it is proved that a semifield and its translation dual have nuclei of the same order.
Giuseppe Marino +2 more
exaly +4 more sources
Generalized semifield spreads [PDF]
Designs, Codes and Cryptography, 2022 A partition \(\Omega = \{A_1, \dots, A_K\}\), of \(\mathrm{GF}(p^n)\) (regarded as a \(\mathrm{GF}(p)\)-vector space) into \(K\) subsets is called a \textit{bent partition} of \textit{depth} \(K\), if every function \(f : \mathrm{GF}(p^n)\to \mathrm{GF}(p)\) for which the following property holds, is a bent function: The preimage set of any element \(c\
Nurdagül Anbar +2 more
openaire +4 more sources
2-elements in an Autotopism Group of a Semifield Projective Plane
Известия Иркутского государственного университета: Серия "Математика", 2022 We investigate the well-known hypothesis of D.R. Hughes that the full collineation group of non-Desarguesian semifield projective plane of a finite order is solvable (the question 11.76 in Kourovka notebook was written down by N.D. Podufalov). The spread
Olga Kravtsova
doaj +1 more source
Semi-Extraspecial Groups with an Abelian Subgroup of Maximal Possible Order [PDF]
Advances in Group Theory and Applications, 2018 Let p be a prime. A finite p-group G is defined to be semi-extraspecial if for every maximal subgroup N in Z(G) the quotient G/N is a an extraspecial group. In addition, we say that G is ultraspecial if G is semi-extraspecial and |G : G′| = |G′|^2.
Mark L. Lewis
doaj +1 more source
Agronomy, 2021 The potential of insecticides that affect the growth and insect development to control Euprosterna elaeasa was evaluated. Fenoxycarb, methoxyfenozide, pyriproxyfen, and tebufenozide were assessed against E.
Luis Carlos Martínez +2 more
doaj +1 more source
k-Simplicity of Leavitt Path Algebras with Coefficients in a k-Semifield
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, we consider Leavitt path algebras having coefficients in a k-semifield. Concentrating on the aspect of k-simplicity, we find a set of necessary and sufficient conditions for the k-simplicity of the Leavitt path algebra LS(Γ) of a directed ...
Gupta Raibatak Sen, Sen M.K.
doaj +1 more source
Elementary Abelian 2-subgroups in an Autotopism Group of a Semifield Projective Plane
Известия Иркутского государственного университета: Серия "Математика", 2020 Elementary Abelian 2-subgroups in an Autotopism Group of a Semifield Projective Plane} We investigate the hypotheses on a solvability of the full collineation group for non-Desarguesian semifield projective plane of a finite order (the question 11.76 in ...
O. V. Kravtsova
doaj +1 more source
Switchings of semifield multiplications [PDF]
Designs, Codes and Cryptography, 2015 Let $B(X,Y)$ be a polynomial over $\mathbb{F}_{q^n}$ which defines an $\mathbb{F}_q$-bilinear form on the vector space $\mathbb{F}_{q^n}$, and let $ξ$ be a nonzero element in $\mathbb{F}_{q^n}$. In this paper, we consider for which $B(X,Y)$, the binary operation $xy+B(x,y)ξ$ defines a (pre)semifield multiplication on $\mathbb{F}_{q^n}$.
Xiang-dong Hou +2 more
openaire +3 more sources
Communications Biology, 2022 The combination of laboratory and semifield experiments, paired with surveillance data, demonstrate the natural timeline for mosquito diapause, highlighting the importance of latitude and population genetics.
Eleanor N. Field +11 more
doaj +1 more source
Algebraic Solution of Tropical Best Approximation Problems
Mathematics, 2023 We introduce new discrete best approximation problems, formulated and solved in the framework of tropical algebra, which deals with semirings and semifields with idempotent addition.
Nikolai Krivulin
doaj +1 more source