| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2025 |
| Язык | английский |
|
Бикчентаев Айрат Мидхатович, автор
|
|
Fawwaz Khattab , автор
Mohamed Ali Muntadher , автор
|
| Библиографическое описание на языке оригинала |
A.M. Bikchentaev, Khattab Fawwaz, and Muntadher Mohamed Ali,
On Axiomatics of Symmetric and Asymmetric Concrete Logics //
Lobachevskii Journal of Mathematics, 2025, Vol. 46, No. 3, pp. 1229--1236. DOI: 10.1134/S1995080225605259
|
| Аннотация |
We refined the axiomatics of asymmetric logics. For logics X(km, k) of family subsets
of the km-element set X, which cardinal numbers are multiples of k we completely described the
cases in which X(km, k) a) is symmetric or b) is asymmetric. For an infinite set Ω and a natural
number n more or equal to 2 we constructed the concrete logics E on
Ω and completely described the cases in which
these logics are asymmetric. For asymmetric logics E we determine when both the set A of E and its
complement A^c are atoms of the logic E. Let a symmetric logic E of a finite set Ω be not a Boolean
algebra, and let A be an algebra of subsets from Ω, and assume that E is a subset in A. Then there exists a
measure on E, that does not admit an extension to a measure on A.
|
| Ключевые слова |
quantum logics, concrete logics, atom, symmetric logics, asymmetric
logics, charge, measure |
| Название журнала |
Lobachevskii Journal of Mathematics
|
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=313972 |
| Файлы ресурса | |
|
|
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Бикчентаев Айрат Мидхатович |
ru_RU |
| dc.contributor.author |
Fawwaz Khattab |
ru_RU |
| dc.contributor.author |
Mohamed Ali Muntadher |
ru_RU |
| dc.date.accessioned |
2025-01-01T00:00:00Z |
ru_RU |
| dc.date.available |
2025-01-01T00:00:00Z |
ru_RU |
| dc.date.issued |
2025 |
ru_RU |
| dc.identifier.citation |
A.M. Bikchentaev, Khattab Fawwaz, and Muntadher Mohamed Ali,
On Axiomatics of Symmetric and Asymmetric Concrete Logics //
Lobachevskii Journal of Mathematics, 2025, Vol. 46, No. 3, pp. 1229--1236. DOI: 10.1134/S1995080225605259
|
ru_RU |
| dc.identifier.uri |
https://repository.kpfu.ru/?p_id=313972 |
ru_RU |
| dc.description.abstract |
Lobachevskii Journal of Mathematics |
ru_RU |
| dc.description.abstract |
We refined the axiomatics of asymmetric logics. For logics X(km, k) of family subsets
of the km-element set X, which cardinal numbers are multiples of k we completely described the
cases in which X(km, k) a) is symmetric or b) is asymmetric. For an infinite set Ω and a natural
number n more or equal to 2 we constructed the concrete logics E on
Ω and completely described the cases in which
these logics are asymmetric. For asymmetric logics E we determine when both the set A of E and its
complement A^c are atoms of the logic E. Let a symmetric logic E of a finite set Ω be not a Boolean
algebra, and let A be an algebra of subsets from Ω, and assume that E is a subset in A. Then there exists a
measure on E, that does not admit an extension to a measure on A.
|
ru_RU |
| dc.language.iso |
ru |
ru_RU |
| dc.subject |
quantum logics |
ru_RU |
| dc.subject |
concrete logics |
ru_RU |
| dc.subject |
atom |
ru_RU |
| dc.subject |
symmetric logics |
ru_RU |
| dc.subject |
asymmetric
logics |
ru_RU |
| dc.subject |
charge |
ru_RU |
| dc.subject |
measure |
ru_RU |
| dc.title |
On Axiomatics of Symmetric and Asymmetric Concrete Logics |
ru_RU |
| dc.type |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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