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On a period of elements of pseudo-BCI-algebras

100%

Dymek G.

Discussiones Mathematicae - General Algebra and Applications

2015

tom 35

nr 1

21-31

The notions of a period of an element of a pseudo-BCI-algebra and a periodic pseudo-BCI-algebra are defined. Some of their properties and characterizations are given.

Power indices of trace zero symmetric Boolean matrices

80%

Zhou B.

Discussiones Mathematicae - General Algebra and Applications

2004

tom 24

nr 1

53-61

The power index of a square Boolean matrix A is the least integer d such that Ad is a linear combination of previous nonnegative powers of A. We determine the maximum power indices for the class of n×n primitive symmetric Boolean matrices of trace zero, the class of n×n irreducible nonprimitive symmetric Boolean matrices, and the class of n×n reducible symmetric Boolean matrices of trace zero, and characterize the extreme matrices respectively.

Ograniczanie wyników

2 Discussiones Mathematicae - General Algebra and Applications

1 Dymek G.

1 Zhou B.

1 2015

1 2004

Wyniki wyszukiwania

On a period of elements of pseudo-BCI-algebras

Power indices of trace zero symmetric Boolean matrices