Results 21 to 30 of about 23,180 (297)

Algorithmic Degrees of Algebraic Structures

open access: yesFundamenta Informaticae, 1981
We define a reducibility relation ⩽ between algebraic structures A ⩽ B means that A can be embeddet in an enrichment of B with partial computable operations. This notion is a generalized version of implementability as known in the theory of algebraic data types.
Bergstra, J.A., Tiuryn, J.
openaire   +2 more sources

On the Generalization of Butterfly Structure

open access: yesIACR Transactions on Symmetric Cryptology, 2018
Butterfly structure was proposed in CRYPTO 2016 [PUB16], and it can generate permutations ...
Yongqiang Li   +3 more
doaj   +1 more source

Point counting for foliations over number fields

open access: yesForum of Mathematics, Pi, 2022
Let${\mathbb M}$ be an affine variety equipped with a foliation, both defined over a number field ${\mathbb K}$. For an algebraic $V\subset {\mathbb M}$ over ${\mathbb K}$, write $\delta _{V}$ for the maximum of the degree and log-height of V.
Gal Binyamini
doaj   +1 more source

Composition algebras of degree two [PDF]

open access: yesProceedings of the Edinburgh Mathematical Society, 1999
Composition algebras in which the subalgebra generated by any element has dimension at most two are classified over fields of characteristic ≠2,3. They include, besides the classical unital composition algebras, some closely related algebras and all the composition algebras with invariant quadratic norm.
Elduque, A., Pérez-Izquierdo, J.M.
openaire   +3 more sources

Constructing Higher Nonlinear Odd-Variable RSBFs With Optimal AI and Almost Optimal FAI

open access: yesIEEE Access, 2019
Rotation symmetric Boolean functions (RSBFs) are nowadays studied a lot because of its easy operations and good performance in cryptosystem. This paper constructs a new class of odd-variable RSBFs with optimal algebraic immunity (AI). The nonlinearity of
Yindong Chen   +5 more
doaj   +1 more source

THE SIMILARITY DEGREE OF SOME -ALGEBRAS [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2013
AbstractWe define the class of weakly approximately divisible unital${C}^{\ast } $-algebras and show that this class is closed under direct sums, direct limits, any tensor product with any${C}^{\ast } $-algebra, and quotients. A nuclear${C}^{\ast } $-algebra is weakly approximately divisible if and only if it has no finite-dimensional representations ...
Hadwin, Don, Li, Weihua
openaire   +2 more sources

On a class of invariant algebraic curves for Kukles systems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
In this paper we give a new upper bound for the degree of a class of transversal to infinity invariant algebraic curves for polynomial Kukles systems of arbitrary degree.
Osvaldo Osuna   +2 more
doaj   +1 more source

THE MULTIPLICATION ALGEBRA OF WEIGHTED ALGEBRAS OF DEGREE 4

open access: yesCommunications in Algebra, 2002
ABSTRACT In a previous paper,[8] the authors show that there are two main classes of commutative baric -algebras satisfying an equation of the form , where are scalars in the base field . They appear as references (1) and (2) in the body of this paper. Some properties of these classes of algebras are also established in that paper.
Costa, R, Suazo, A
openaire   +3 more sources

Maximizing Algebraic Connectivity via Minimum Degree and Maximum Distance

open access: yesIEEE Access, 2018
Algebraic connectivity, the second smallest eigenvalue of the graph Laplacian matrix, is a fundamental performance measure in various network systems, such as multi-agent networked systems.
Gang Li   +3 more
doaj   +1 more source

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