Geodesic
Lambek functional representation of generalized symmetric semirings
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2023), pp. 26-35

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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. 
@article{IVM_2023_2_a1,
     author = {E.M. Vechtomov and V. V. Chermnykh},
     title = {Lambek functional representation of generalized symmetric semirings},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {26--35},
     publisher = {mathdoc},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2023_2_a1/}
}
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E.M. Vechtomov; V. V. Chermnykh. Lambek functional representation of generalized symmetric semirings. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2023), pp. 26-35. http://geodesic.mathdoc.fr/item/IVM_2023_2_a1/