V. V. Sidorov, “The automorphism group of the lattice of all subalgebras of the semiring of polynomials over the semifield of nonnegative real numbers”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, Number 4,Pages <nobr>104

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Brief communications

The automorphism group of the lattice of all subalgebras of the semiring of polynomials over the semifield of nonnegative real numbers

V. V. Sidorov

Chair of Higher Mathematics, Vyatka State University of Humanities, Kirov, Russia

Abstract: In this paper we prove that the automorphism group of the lattice of all subalgebras of the semiring of polynomials over the semifield of nonnegative real numbers is isomorphic to the multiplicative group of all positive real numbers.

Keywords: semiring of polynomials, subalgebra, lattice of subalgebras.

UDC: 512.556

Presented by the member of Editorial Board: M. M. Arslanov
Received: 29.10.2010