Geodesic
The automorphism group of the lattice of all subalgebras of the semiring of polynomials over the semifield of nonnegative real numbers
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2011), pp. 104-107 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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, lattice of subalgebras.
Mots-clés : subalgebra 
@article{IVM_2011_4_a10,
     author = {V. V. Sidorov},
     title = {The automorphism group of the lattice of all subalgebras of the semiring of polynomials over the semifield of nonnegative real numbers},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {104--107},
     year = {2011},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_4_a10/}
}
TY  - JOUR
AU  - V. V. Sidorov
TI  - The automorphism group of the lattice of all subalgebras of the semiring of polynomials over the semifield of nonnegative real numbers
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2011
SP  - 104
EP  - 107
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/IVM_2011_4_a10/
LA  - ru
ID  - IVM_2011_4_a10
ER  - 
%0 Journal Article
%A V. V. Sidorov
%T The automorphism group of the lattice of all subalgebras of the semiring of polynomials over the semifield of nonnegative real numbers
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2011
%P 104-107
%N 4
%U http://geodesic.mathdoc.fr/item/IVM_2011_4_a10/
%G ru
%F IVM_2011_4_a10
V. V. Sidorov. The automorphism group of the lattice of all subalgebras of the semiring of polynomials over the semifield of nonnegative real numbers. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2011), pp. 104-107. http://geodesic.mathdoc.fr/item/IVM_2011_4_a10/

[1] Grettser G., Obschaya teoriya reshetok, Mir, M., 1981 | MR

[2] Burbaki N., Algebra. Mnogochleny i polya. Uporyadochennye gruppy, Nauka, M., 1965 | MR