In this paper, the nilpotent matrices over distributive lattices are discussed by applying the combinatorial speculation ([9]). Some necessary and sufficient conditions for a lattice matrix A to be a nilpotent matrix are given. Also, a necessary and sufficient condition for an n × n nilpotent matrix with an arbitrary nilpotent index is obtained
This paper deals with the characteristic roots of different types of lattice matrices and proves tha...
In this article, the necessary conditions for nilpotency of matrices of three and higher dimensions ...
We study the multiplication operation of square matrices over lattices. If the underlying lattice i...
AbstractIn this paper, the index and the period for a lattice matrix are estimated. Some necessary a...
AbstractAntirings are an important type of semirings, which generalize Boolean algebra, fuzzy algebr...
AbstractIn this paper, the nilpotent matrices over commutative antirings are characterized in terms ...
AbstractA nonzero pattern is a matrix with entries in {0,∗}. A pattern is potentially nilpotent if t...
AbstractInclines are additively idempotent semirings in which products are less than or equal to eit...
Let L be a distributive lattice and Mn,q (L)(Mn(L), resp.) the semigroup (semiring, resp.) of n × q ...
AbstractA matrix is called a lattice matrix if its elements belong to a distributive lattice. For a ...
AbstractA sign pattern is said to be nilpotent of index k if all real matrices in its qualitative cl...
summary:In this paper, the concepts of indecomposable matrices and fully indecomposable matrices ove...
AbstractBoolean matrices are widely used in many fields, and the theory of boolean matrices is relat...
summary:In this paper, the concepts of indecomposable matrices and fully indecomposable matrices ove...
[EN] Given a square matrix A in Mn(F), the lattices of the hyper-invariant (Hinv(A)) and characteri...
This paper deals with the characteristic roots of different types of lattice matrices and proves tha...
In this article, the necessary conditions for nilpotency of matrices of three and higher dimensions ...
We study the multiplication operation of square matrices over lattices. If the underlying lattice i...
AbstractIn this paper, the index and the period for a lattice matrix are estimated. Some necessary a...
AbstractAntirings are an important type of semirings, which generalize Boolean algebra, fuzzy algebr...
AbstractIn this paper, the nilpotent matrices over commutative antirings are characterized in terms ...
AbstractA nonzero pattern is a matrix with entries in {0,∗}. A pattern is potentially nilpotent if t...
AbstractInclines are additively idempotent semirings in which products are less than or equal to eit...
Let L be a distributive lattice and Mn,q (L)(Mn(L), resp.) the semigroup (semiring, resp.) of n × q ...
AbstractA matrix is called a lattice matrix if its elements belong to a distributive lattice. For a ...
AbstractA sign pattern is said to be nilpotent of index k if all real matrices in its qualitative cl...
summary:In this paper, the concepts of indecomposable matrices and fully indecomposable matrices ove...
AbstractBoolean matrices are widely used in many fields, and the theory of boolean matrices is relat...
summary:In this paper, the concepts of indecomposable matrices and fully indecomposable matrices ove...
[EN] Given a square matrix A in Mn(F), the lattices of the hyper-invariant (Hinv(A)) and characteri...
This paper deals with the characteristic roots of different types of lattice matrices and proves tha...
In this article, the necessary conditions for nilpotency of matrices of three and higher dimensions ...
We study the multiplication operation of square matrices over lattices. If the underlying lattice i...
DOI
Add to ORKG