Results 71 to 80 of about 2,333 (139)

The finite basis problem for matrix semirings over a two-element additively idempotent semiring

We provide a complete classification of matrix semirings $\mathbf{M}_n(S)$ over two-element additively idempotent semirings $S$ with respect to the finite basis property.Our main theorem shows that for every integer $n \geq 2$,the semiring $\mathbf{M}_n(S)$ is finitely based if and only if $S$ is distinct from a distributive lattice.
Jiao, Jun, Ren, Miaomiao
openaire   +2 more sources

The parallelism motifs of genomic data analysis. [PDF]

Philos Trans A Math Phys Eng Sci, 2020
Yelick K, Buluç A, Awan M, Azad A, Brock B, Egan R, Ekanayake S, Ellis M, Georganas E, Guidi G, Hofmeyr S, Selvitopi O, Teodoropol C, Oliker L.   +13 more
europepmc   +1 more source

The Rényi Entropies Operate in Positive Semifields. [PDF]

Entropy (Basel), 2019
Valverde-Albacete FJ, Peláez-Moreno C.
europepmc   +1 more source

Tropical Ehrhart theory and tropical volume. [PDF]

Res Math Sci, 2020
Loho G, Schymura M.
europepmc   +1 more source

Tan's Epsilon-Determinant and Ranks of Matrices over Semirings. [PDF]

Int Sch Res Notices, 2015
Mohindru P, Pereira R.
europepmc   +1 more source

Cryptoanalysis of a tropical triad matrix semiring key exchange protocol

CoRR
This article analyzes a key exchange protocol based on the triad tropical semiring, recently proposed by Jackson, J. and Perumal, R. We demonstrate that the triad tropical semiring is isomorphic to a circulant matrix over tropical numbers. Consequently, matrices in this semiring can be represented as tropical matrices.
openaire   +2 more sources

Graphs and matroids weighted in a bounded incline algebra. [PDF]

ScientificWorldJournal, 2014
Lu LX, Zhang B.
europepmc   +1 more source

A new Boolean matrix representation for Catalan semirings

We construct a faithful representation of the semiring of all order-preserving decreasing transformations of a chain with $n+1$ elements by Boolean upper triangular $n\times n$-matrices.
openaire   +2 more sources

Signed Tropicalization of Polar Cones. [PDF]

J Optim Theory Appl
Akian M, Allamigeon X, Gaubert S, Sergeev S.   +3 more
europepmc   +1 more source

circulant matrix, semiring, key exchange protocols

AIMS Mathematics
In this manuscript, our work was about a qualitative study for a class of multi-complex orders nonlinear fractional differential equations (FDEs). Our methodology utilized the topological degree theory and studied a novel operator tailored for non-singular FDEs with $ \mathrm{T} $-Riemann-Liouville (T-RL) fractional order derivatives.
Abdelatif Boutiara, Jehad Alzabut, Hasib Khan, Saim Ahmed, Ahmad Taher Azar   +4 more
openaire   +1 more source