• 대한수학회지
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• 제42권2호
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• pp.223-241
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• 2005

Inequalities on the rank of the sum and the product of two matrices over semirings are surveyed. Preferences are given to the factor rank, row and column ranks, term rank, and zero-term rank of matrices over antinegative semirings.

• 대한수학회지
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• 제32권4호
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• pp.857-867
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• 1995

Throughout this paper, let $M_{mn}(R)$ be the set of all $m \times n$ real matrices, and let $R^n$ the set of all real row vectors with n components.

• 대한수학회지
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• 제36권6호
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• pp.1181-1190
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• 1999

Zero-term rank of a matrix is the minimum number of lines (rows or columns) needed to cover all the zero entries of the given matrix. We characterized the linear operators that preserve zero-term rank of the m×n matrices over binary Boolean algebra.

• 충청수학회지
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• 제2권1호
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• pp.15-35
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• 1989

In this paper, we give a characterization of an order ideal which is not necessarily positively generated in the ordered space of Hermitian matrices. Order properties for perfect subspaces are also studied along with other subspace order properties.

• 충청수학회지
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• 제30권3호
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• pp.305-311
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• 2017

We investigate periodicities of characteristic matrices of some hybrid cellular automata configured with rules 60 and 102 and an intermediate boundary condition.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제24권1호
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• pp.85-91
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• 2020

In this parer we express the sufficient conditions under which it is proved that a J-normal irreduciable Hessenberg matrix is tridiagonal and it is also proved that a similar statement exists for J-conjugate normal matrices

• Journal of applied mathematics & informatics
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• 제22권1_2호
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• pp.535-539
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• 2006

The ring of invariants of two 2 by 2 matrices C(2, 2) is a polynomial ring with 5 variables [1]. In this paper we find the system of parameters of C(3, 2) by Groebner bases.

• 대한수학회지
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• 제43권1호
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• pp.215-224
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• 2006

We call the bipartite graph G is normal provided the reduced adjacency matrix A of G is normal. In this paper we give graph representations of normal matrices. In addition we shall have the characterization of signed bipartite normal graphs.

• Journal of applied mathematics & informatics
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• 제18권1_2호
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• pp.585-589
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• 2005

In [1], the structure of C(2,2) is determined as the polynomial ring in 5 variables. In this work, we show that C(2,3) is a free module over the subring of 9 variables. We explicitly give a presentation of C(2, 3) as free module over the polynomial ring.

• Korean Journal of Mathematics
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• 제7권2호
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• pp.291-299
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• 1999

Let ${\Omega}$ be the set of all commutative $k$-subalgebras of 14 by 14 matrices over a field $k$ whose dimension is 13 and index of Jacobson radical is 3. Then we will find the equivalent condition for a commutative subalgebra to be maximal.