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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2023, Number 2, Pages 26–35
DOI: https://doi.org/10.26907/0021-3446-2023-2-26-35 (Mi ivm9851) 		 
Lambek functional representation of generalized symmetric semirings

E.M. Vechtomova, V. V. Chermnykhb

a Vyatka State University, 36 Moskovskaya str., Kirov, 610000 Russia
b Pitirim Sorokin Syktyvkar State University, 55 Octyabrskyi Ave., Syktyvkar, 167001 Russia
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DOI: https://doi.org/10.26907/0021-3446-2023-2-26-35
Abstract: The article defines almost symmetric and generalized symmetric semirings. These notions generalize symmetric semirings, as well as almost and pseudo symmetric rings. Isomorphic representations of these semirings by sections of the Lambek sheaf of semirings are obtained.
Keywords: semiring, generalized symmetric semiring, sheaf, Lambek representation.
Received: 14.04.2022
Revised: 14.04.2022
Accepted: 28.09.2022
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2023, Volume 67, Issue 2, Pages 23–31
DOI: https://doi.org/10.3103/S1066369X2302007X
Document Type: Article
UDC: 512.55
Language: Russian
Citation: E.M. Vechtomov, V. V. Chermnykh, “Lambek functional representation of generalized symmetric semirings”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 2, 26–35; Russian Math. (Iz. VUZ), 67:2 (2023), 23–31
Citation in format AMSBIB
\Bibitem{VecChe23}
\by E.M.~Vechtomov, V.~V.~Chermnykh
\paper Lambek functional representation of generalized symmetric semirings
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2023
\issue 2
\pages 26--35
\mathnet{http://mi.mathnet.ru/ivm9851}
\crossref{https://doi.org/10.26907/0021-3446-2023-2-26-35}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2023
\vol 67
\issue 2
\pages 23--31
\crossref{https://doi.org/10.3103/S1066369X2302007X}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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