Abstract
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.
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Original Russian Text © R.V. Markov, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 4, pp. 18–24.
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Markov, R.V. Pierce sheaf for semirings with involution. Russ Math. 58, 14–19 (2014). https://doi.org/10.3103/S1066369X14040033
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DOI: https://doi.org/10.3103/S1066369X14040033