- Tytuł:
- Pseudocomplements in sum-ordered partial semirings
- Autorzy:
- Cīrulis, Jānis
- Powiązania:
- https://bibliotekanauki.pl/articles/728872.pdf
- Data publikacji:
- 2007
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
Glivenko theorem
partial monoid
partial semiring
pseudocomplementation
semigroup
Stone semiring
sum-ordering - Opis:
- We study a particular way of introducing pseudocomplementation in ordered semigroups with zero, and characterise the class of those pseudocomplemented semigroups, termed g-semigroups here, that admit a Glivenko type theorem (the pseudocomplements form a Boolean algebra). Some further results are obtained for g-semirings - those sum-ordered partially additive semirings whose multiplicative part is a g-semigroup. In particular, we introduce the notion of a partial Stone semiring and show that several well-known elementary characteristics of Stone algebras have analogues for such semirings.
- Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2007, 27, 2; 169-186
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł