Geodesic
Semiring joins of a ring and semifield
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2008), pp. 76-80 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We describe the structure of semirings which are unions of a ring and a semifield.
Keywords: ring, semiring, division semiring, semiring disjoint union. 
@article{IVM_2008_12_a9,
     author = {M. A. Lukin},
     title = {Semiring joins of a ring and semifield},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {76--80},
     year = {2008},
     number = {12},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2008_12_a9/}
}
TY  - JOUR
AU  - M. A. Lukin
TI  - Semiring joins of a ring and semifield
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2008
SP  - 76
EP  - 80
IS  - 12
UR  - http://geodesic.mathdoc.fr/item/IVM_2008_12_a9/
LA  - ru
ID  - IVM_2008_12_a9
ER  - 
%0 Journal Article
%A M. A. Lukin
%T Semiring joins of a ring and semifield
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2008
%P 76-80
%N 12
%U http://geodesic.mathdoc.fr/item/IVM_2008_12_a9/
%G ru
%F IVM_2008_12_a9
M. A. Lukin. Semiring joins of a ring and semifield. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2008), pp. 76-80. http://geodesic.mathdoc.fr/item/IVM_2008_12_a9/

[1] Golan J. S., The theory of semirings with applications in mathematics and theoretical computer science, Pitman monographs and surveys in pure and applied mathematics, 54, 1992, 328 pp. | MR | Zbl

[2] Vechtomov E. M., Mikhalev A. V., Chermnykh V. V., “Abelevo-regulyarnye polozhitelnye polukoltsa”, Tr. semin. im. I. G. Petrovskogo, 20, 2000, 282–309

[3] Lukin M. A., “Diz'yunktnoe polukoltsevoe ob'edinenie koltsa i polutela”, Chebyshevskii sb., 6:4 (2005), 138–148 | MR | Zbl