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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 4, Pages 104–107
(Mi ivm7295)
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This article is cited in 2 scientific papers (total in 2 papers)
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.
Citation:
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, no. 4, 104–107; Russian Math. (Iz. VUZ), 55:4 (2011), 87–89
Linking options:
https://www.mathnet.ru/eng/ivm7295 https://www.mathnet.ru/eng/ivm/y2011/i4/p104
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