Results 41 to 50 of about 487 (71)
On permanents of matrices over a commutative additively idempotent semiring
, 2012 Let $R$ be a commutative additively idempotent semiring. In this paper, some properties and characterizations for permanents of matrices over $R$ are established, and several inequalities for permanents are given. Also, the adjiont matrices of matriecs over $R$ are considered.
Huang, Yan, Lian, Haifeng
openaire +3 more sources
Exact Sequences of Semimodules over Semirings [PDF]
, 2012 In this paper, we introduce and investigate a new notion of exact sequences of semimodules over semirings relative to the canonical image factorization.
Abuhlail, Jawad
core
Algebraic structures of tropical mathematics
, 2013 Tropical mathematics often is defined over an ordered cancellative monoid $\tM$, usually taken to be $(\RR, +)$ or $(\QQ, +)$. Although a rich theory has arisen from this viewpoint, cf.
Izhakian, Zur +2 more
core +1 more source
Generalized Path Optimization Problem for a Weighted Digraph over an Additively Idempotent Semiring
Journal of Advances in Applied & Computational Mathematics, 2020 In this paper, a generalized path optimization problem for a weighted digraph (i.e., directed graph) over an additively idempotent semiring was considered. First, the conditions for power convergence of a matrix over an additively idempotent semiring were investigated.
null Junsheng Duan, null Dichen Hu
openaire +1 more source
Book review: Idempotency, edited by J. Gunawardena
, 2000 Discrete Dynamics in Nature and Society, Volume 5, Issue 1, Page 75-79, 2000.
Roderick V. N. Melnik, C. Math. Fima
wiley +1 more source
Injective hulls of semimodules over additively-idempotent semirings
Semigroup Forum, 1994 A semiring \((R,+,\cdot)\) is a nonempty set \(R\) where \((R,+)\) is a commutative monoid with additive identity 0, \((R,\cdot)\) is a monoid with multiplicative identity 1, \(0r = 0 = r0\) for all \(r\in R\) and multiplication distributes over addition from either side.
openaire +1 more source
Rank preservers of matrices over additively idempotent and multiplicatively cancellative semirings
, 2018 15 ...
Bhuniya, A. K., Maity, Sushobhan
openaire +2 more sources
Characterizing matrices with $X$-simple image eigenspace in max-min semiring
, 2014 A matrix $A$ is said to have $X$-simple image eigenspace if any eigenvector $x$ belonging to the interval $X=\{x\colon \underline{x}\leq x\leq\overline{x}\}$ is the unique solution of the system $A\otimes y=x$ in $X$.
Plavka, Jan, Sergeev, Sergei
core
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 finite basis problem for additively idempotent semirings that relate to S_7
The $3$-element additively idempotent semiring $S_7$ is a nonnitely based algebra of the smallest possible order. In this paper we study the nite basis problem for some additively idempotent semirings that relate to $S_7$. We present a su cient condition under which an additively idempotent semiring variety is nonnitely based and as applications, show ...
Gao, Zidong +3 more
openaire +2 more sources