About the rank of the element of a semigroup

Authors

  • V. D. Derech

Keywords:

element of a semigroup, lattice of ideals, bijective transformation, rank

Abstract

The paper determines the rank of the elements of the semigroup in the terms of a lattice of ideals. The necessary and sufficient conditions for the bijective transformation of the semigroup to keep a rank were determined. The corollary of the basic theorem demonstrates (uniform method) the simple proofs of known outcomes about the rank of a matrix

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Published

2010-11-12

How to Cite

[1]
V. D. Derech, “About the rank of the element of a semigroup”, Вісник ВПІ, no. 4, pp. 113–116, Nov. 2010.

Issue

No 4 (2004)

Section

Fundamental sciences

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