Proszę używać tego identyfikatora do cytowań lub wstaw link do tej pozycji:
http://hdl.handle.net/11320/4875
Pełny rekord metadanych
Pole DC | Wartość | Język |
---|---|---|
dc.contributor.author | Coghetto, Roland | pl |
dc.date.accessioned | 2016-12-15T13:01:50Z | - |
dc.date.available | 2016-12-15T13:01:50Z | - |
dc.date.issued | 2015 | pl |
dc.identifier.citation | Formalized Mathematics, Volume 23, Issue 2, 107–114 | pl |
dc.identifier.issn | 1426-2630 | pl |
dc.identifier.issn | 1898-9934 | pl |
dc.identifier.uri | http://hdl.handle.net/11320/4875 | - |
dc.description.abstract | AbstractWe formalize that the image of a semiring of sets [17] by an injective function is a semiring of sets.We offer a non-trivial example of a semiring of sets in a topological space [21]. Finally, we show that the finite product of a semiring of sets is also a semiring of sets [21] and that the finite product of a classical semiring of sets [8] is a classical semiring of sets. In this case, we use here the notation from the book of Aliprantis and Border [1]. | pl |
dc.language.iso | en | pl |
dc.publisher | De Gruyter Open | pl |
dc.subject | set partitions | pl |
dc.subject | semiring of sets | pl |
dc.title | Finite Product of Semiring of Sets | pl |
dc.type | Article | pl |
dc.identifier.doi | 10.1515/forma-2015-0011 | pl |
dc.description.Affiliation | Rue de la Brasserie 5 7100 La Louvière, Belgium | pl |
dc.description.references | Charalambos D. Aliprantis and Kim C. Border. Infinite dimensional analysis. Springer- Verlag, Berlin, Heidelberg, 2006. | pl |
dc.description.references | Grzegorz Bancerek. Cardinal numbers. Formalized Mathematics, 1(2):377-382, 1990. | pl |
dc.description.references | Grzegorz Bancerek. König’s theorem. Formalized Mathematics, 1(3):589-593, 1990. | pl |
dc.description.references | Grzegorz Bancerek. Tarski’s classes and ranks. Formalized Mathematics, 1(3):563-567, 1990. | pl |
dc.description.references | Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990. | pl |
dc.description.references | Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990. | pl |
dc.description.references | Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990. | pl |
dc.description.references | Vladimir Igorevich Bogachev and Maria Aparecida Soares Ruas. Measure theory, volume 1. Springer, 2007. | pl |
dc.description.references | Czesław Bylinski. Binary operations. Formalized Mathematics, 1(1):175-180, 1990. | pl |
dc.description.references | Czesław Bylinski. Functions and their basic properties. Formalized Mathematics, 1(1): 55-65, 1990. | pl |
dc.description.references | Czesław Bylinski. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990. | pl |
dc.description.references | Czesław Bylinski. Partial functions. Formalized Mathematics, 1(2):357-367, 1990. | pl |
dc.description.references | Czesław Bylinski. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990. | pl |
dc.description.references | Roland Coghetto. Semiring of sets. Formalized Mathematics, 22(1):79-84, 2014. doi:10.2478/forma-2014-0008. [Crossref] | pl |
dc.description.references | Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165-167, 1990. | pl |
dc.description.references | Noboru Endou, Kazuhisa Nakasho, and Yasunari Shidama. σ-ring and σ-algebra of sets. Formalized Mathematics, 23(1):51-57, 2015. doi:10.2478/forma-2015-0004. [Crossref] | pl |
dc.description.references | D.F. Goguadze. About the notion of semiring of sets. Mathematical Notes, 74:346-351, 2003. ISSN 0001-4346. doi:10.1023/A:1026102701631. [Crossref] | pl |
dc.description.references | Zbigniew Karno. On discrete and almost discrete topological spaces. Formalized Mathematics, 3(2):305-310, 1992. | pl |
dc.description.references | Beata Padlewska. Families of sets. Formalized Mathematics, 1(1):147-152, 1990. | pl |
dc.description.references | Beata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223-230, 1990. | pl |
dc.description.references | Jean Schmets. Théorie de la mesure. Notes de cours, Université de Liège, 146 pages, 2004. | pl |
dc.description.references | Andrzej Trybulec. Enumerated sets. Formalized Mathematics, 1(1):25-34, 1990. | pl |
dc.description.references | Andrzej Trybulec and Agata Darmochwał. Boolean domains. Formalized Mathematics, 1 (1):187-190, 1990. | pl |
dc.description.references | Wojciech A. Trybulec. Non-contiguous substrings and one-to-one finite sequences. Formalized Mathematics, 1(3):569-573, 1990. | pl |
dc.description.references | Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990. | pl |
dc.description.references | Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1 (1):73-83, 1990. | pl |
dc.description.references | Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990. | pl |
Występuje w kolekcji(ach): | Formalized Mathematics, 2015, Volume 23, Issue 2 |
Pliki w tej pozycji:
Plik | Opis | Rozmiar | Format | |
---|---|---|---|---|
forma-2015-0011.pdf | 252,42 kB | Adobe PDF | Otwórz |
Pozycja ta dostępna jest na podstawie licencji Licencja Creative Commons CCL