Geodesic
Pierce sheaf for semirings with involution
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2014), pp. 18-24

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We introduce the concept of Pierce sheaf for semirings with involution, an analog of Pierce sheaf for rings. We construct maximal spectrum, Pierce congruence, Pierce sheaf of semirings with involution, Pierce stalk of semiring with involution. We prove main theorem on the isomorphism of semiring with involution and semiring with involution of global sections of Pierce sheaf.
Keywords: semiring, semiring with involution, Pierce sheaf, Pierce stalk, functional representation of a semiring. 
@article{IVM_2014_4_a2,
     author = {R. V. Markov},
     title = {Pierce sheaf for semirings with involution},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {18--24},
     publisher = {mathdoc},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_4_a2/}
}
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R. V. Markov. Pierce sheaf for semirings with involution. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2014), pp. 18-24. http://geodesic.mathdoc.fr/item/IVM_2014_4_a2/