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2000•Journal of Mathematical Research and ExpositionRequires access

The [0-Simple] Simple Subsemigroups of Nonnegative Matrices

Qian Shuang-ping

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Abstract

In this paper, we investigate the properties of the [0-simple] simple subsemigroups of nonnegative matrices and show that the [0-simple] simple subsemigroups of Mn(S) are completely [0-simple] simple, where S is a strong ideal subset of R+ which has no ele- ments less than 1 except 0. Finally, we illustrate that the semigroup of nonnegative matriles is interesting.

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What this paper is about

In this paper, we investigate the properties of the [0-simple] simple subsemigroups of nonnegative matrices and show that the [0-simple] simple subsemigroups of Mn(S) are completely [0-simple] simple, where S is a strong ideal subset of R+ which has no ele- ments less than 1 except 0. Finally, we illustrate that the semigroup of nonnegative matriles is interesting.

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Available abstract

In this paper, we investigate the properties of the [0-simple] simple subsemigroups of nonnegative matrices and show that the [0-simple] simple subsemigroups of Mn(S) are completely [0-simple] simple, where S is a strong ideal subset of R+ which has no ele- ments less than 1 except 0. Finally, we illustrate that the semigroup of nonnegative matriles is interesting.

Key concepts: Simple (philosophy), Mathematics, Semigroup, Ideal (ethics), Combinatorics, Pure mathematics, Law, Political science

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