Pierce sheaf of semirings for semiring with involution

Authors

  • Nikita S. Protasov Pitirim Sorokin Syktyvkar State University
  • Vasiliy V. Chermnykh Pitirim Sorokin Syktyvkar State University

DOI:

https://doi.org/10.17072/1993-0550-2026-3-49-57

Keywords:

semiring with involution, sheafs isomorphism, Pierce representation, Pierce stalk

Abstract

For a semiring with involution, its Pierce sheaf of semirings (without involution) is considered. A construction of an antiautomorphism of this sheaf is proposed. The semiring of sections of the sheaf is a semiring with involution and the structure of the involution is described.

Author Biographies

  • Nikita S. Protasov, Pitirim Sorokin Syktyvkar State University

    lecturer at the department of physico-mathematical and information education

  • Vasiliy V. Chermnykh, Pitirim Sorokin Syktyvkar State University

    Doctor of Physics and Mathematics, Associate Professor, Chief Researcher

References

Pierce R. S. Modules over commutative regular rings // Mem. Amer. Math. Soc. 1967. Vol. 70. P. 1−112. DOI:10.1090/memo/0070.

Чермных В. В. Пучковые представления полуколец // Успехи мат. наук. 1993. Т. 48, № 5. С. 185−186. DOI: 10.1070/RM1993v048n05ABEH001078.

Салавова К. Кольца с инволюцией: дис. … канд. физ.-матем. наук / К. Салавова. М.: 1978. IstinaResearcherID (IRID): 842017.

Марков Р. В. Пирсовское представление полуколец с инволюцией // Изв. вузов. ма-тем. 2014. № 4. С. 18−24.

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Published

2026-10-23

Issue

No. 3 (74) (2026): Bulletin of Perm University. Mathematics. Mechanics. Computer Science

Section

Mathemathics

License

Copyright (c) 2026 Никита Сергеевич Протасов, Василий Владимирович Чермных

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Articles are published under license Creative Commons Attribution 4.0 International (CC BY 4.0).

How to Cite

Pierce sheaf of semirings for semiring with involution. (2026). BULLETIN OF PERM UNIVERSITY. MATHEMATICS. MECHANICS. COMPUTER SCIENCE, 3 (74), 49-57. https://doi.org/10.17072/1993-0550-2026-3-49-57