Results 1 to 10 of about 2,333 (139)
Sparse data embedding and prediction by tropical matrix factorization [PDF]
BMC Bioinformatics, 2021 Background Matrix factorization methods are linear models, with limited capability to model complex relations. In our work, we use tropical semiring to introduce non-linearity into matrix factorization models.
Amra Omanović +3 more
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On a Matrix over NC and Multiset NC Semigroups
Journal of Mathematics, 2022 In this paper, we define a matrix over neutrosophic components (NCs), which was built using the four different intervals 0,1,0,1,0,1, and 0,1. This definition was made clear by introducing some examples.
Mohammed A. Saleem +2 more
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Amitsur's theorem, semicentral idempotents, and additively idempotent semirings
Open MathematicsThe article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
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Public-Key Cryptography Based on Tropical Circular Matrices
Applied Sciences, 2022 Some public-key cryptosystems based on the tropical semiring have been proposed in recent years because of their increased efficiency, since the multiplication is actually an ordinary addition of numbers and there is no ordinary multiplication of numbers
Huawei Huang, Chunhua Li, Lunzhi Deng
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Mathematics, 2021 We consider a decision-making problem to evaluate absolute ratings of alternatives from the results of their pairwise comparisons according to two criteria, subject to constraints on the ratings.
Nikolai Krivulin
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Linear Maps that Preserve Any Two Term Ranks on Matrix Spaces over Anti-Negative Semirings
Mathematics, 2020 There are many characterizations of linear operators from various matrix spaces into themselves which preserve term rank. In this research, we characterize the linear maps which preserve any two term ranks between different matrix spaces over anti ...
Kyung Tae Kang +2 more
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Centers, cocenters and simple quantum groups [PDF]
, 2013 We define the notion of a (linearly reductive) center for a linearly reductive quantum group, and show that the quotient of a such a quantum group by its center is simple whenever its fusion semiring is free in the sense of Banica and Vergnioux.
Chirvasitu, Alexandru
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On Decompositions of Matrices over Distributive Lattices
Journal of Applied Mathematics, 2014 Let L be a distributive lattice and Mn,q (L)(Mn(L), resp.) the semigroup (semiring, resp.) of n × q (n × n, resp.) matrices over L. In this paper, we show that if there is a subdirect embedding from distributive lattice L to the direct product ∏i=1mLi ...
Yizhi Chen, Xianzhong Zhao
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Public Key Cryptography based on Semigroup Actions [PDF]
, 2007 A generalization of the original Diffie-Hellman key exchange in $(\Z/p\Z)^*$ found a new depth when Miller and Koblitz suggested that such a protocol could be used with the group over an elliptic curve.
Maze, G., Monico, C., Rosenthal, J.
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Completely positive matrices over Boolean algebras and their CP-rank
Special Matrices, 2015 Drew, Johnson and Loewy conjectured that for n ≥ 4, the CP-rank of every n × n completely positive real matrix is at most [n2/4]. In this paper, we prove this conjecture for n × n completely positive matrices over Boolean algebras (finite or infinite ...
Mohindru Preeti
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