Enviar artigo por via de e-mail Pseudocomplements in the Lattice of Subvarieties of a Variety of Multiplicatively Idempotent Semirings
- Autores: Vechtomov E.M.1, Petrov A.A.1
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Afiliações:
- Vyatka State University
- Edição: Volume 237, Nº 3 (2019)
- Páginas: 410-419
- Seção: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242355
- DOI: https://doi.org/10.1007/s10958-019-04166-4
- ID: 242355
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Resumo
The lattice L(????) of all subvarieties of the variety ???? of multiplicatively idempotent semirings is studied. Some relations have been obtained. It is proved that L(????) is a pseudocomplemented lattice. Pseudocomplements in the lattice L(????) are described. It is shown that they form a 64-element Boolean lattice with respect to the inclusion. It is established that the lattice L(????) is infinite and nonmodular.
Sobre autores
E. Vechtomov
Vyatka State University
Autor responsável pela correspondência
Email: vecht@mail.ru
Rússia, Vyatka
A. Petrov
Vyatka State University
Email: vecht@mail.ru
Rússia, Vyatka
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