Lattices of Subalgebras of Semirings of Continuous Nonnegative Functions with the Max-Plus
- Авторлар: Sidorov V.1
-
Мекемелер:
- Vyatka State University of Humanities
- Шығарылым: Том 221, № 3 (2017)
- Беттер: 409-435
- Бөлім: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238999
- DOI: https://doi.org/10.1007/s10958-017-3235-5
- ID: 238999
Дәйексөз келтіру
Аннотация
Isomorphisms φ of semirings C∨(X) of continuous nonnegative functions over an arbitrary Hewitt space X with the condition φ(ℝ+) = ℝ+ are characterized in this work. It is proved that any isomorphism of lattices of all subalgebras of semirings C∨ (X) and C∨ (Y) is induced by a unique isomorphism of semirings excepting the case of one- and two-point Tychonovization of spaces.
Авторлар туралы
V. Sidorov
Vyatka State University of Humanities
Хат алмасуға жауапты Автор.
Email: sedoy_vadim@mail.ru
Ресей, Kirov