On Primary Ideals. Part I

Pole DC	Wartość	Język
dc.contributor.author	Watase, Yasushige	-
dc.date.accessioned	2022-01-04T07:02:13Z	-
dc.date.available	2022-01-04T07:02:13Z	-
dc.date.issued	2021	-
dc.identifier.citation	Formalized Mathematics, Volume 29, Issue 2, Pages 95-101	pl
dc.identifier.issn	1426-2630	-
dc.identifier.uri	http://hdl.handle.net/11320/12392	-
dc.description.abstract	We formalize in the Mizar System [3], [4], definitions and basic propositions about primary ideals of a commutative ring along with Chapter 4 of [1] and Chapter III of [8]. Additionally other necessary basic ideal operations such as compatibilities taking radical and intersection of finite number of ideals are formalized as well in order to prove theorems relating primary ideals. These basic operations are mainly quoted from Chapter 1 of [1] and compiled as preliminaries in the first half of the article.	pl
dc.language.iso	en	pl
dc.publisher	DeGruyter Open	pl
dc.rights	Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0)	-
dc.rights.uri	https://creativecommons.org/licenses/by-sa/3.0/	-
dc.subject	primary ideal	pl
dc.subject	radical ideal	pl
dc.subject	prime ideal	pl
dc.title	On Primary Ideals. Part I	pl
dc.type	Article	pl
dc.rights.holder	© 2021 University of Białymstoku	pl
dc.rights.holder	CC-BY-SA License ver. 3.0 or later	pl
dc.identifier.doi	10.2478/forma-2021-0010	-
dc.description.Affiliation	Suginami-ku Matsunoki, 3-21-6 Tokyo, Japan	pl
dc.description.references	Michael Francis Atiyah and Ian Grant Macdonald. Introduction to Commutative Algebra, volume 2. Addison-Wesley Reading, 1969.	pl
dc.description.references	Jonathan Backer, Piotr Rudnicki, and Christoph Schwarzweller. Ring ideals. Formalized Mathematics, 9(3):565–582, 2001.	pl
dc.description.references	Grzegorz Bancerek, Czesław Bylinski, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, Karol Pak, and Josef Urban. Mizar: State-of-the-art and beyond. In Manfred Kerber, Jacques Carette, Cezary Kaliszyk, Florian Rabe, and Volker Sorge, editors, Intelligent Computer Mathematics, volume 9150 of Lecture Notes in Computer Science, pages 261–279. Springer International Publishing, 2015. ISBN 978-3-319-20614-1. doi:10.1007/978-3-319-20615-8_17.	pl
dc.description.references	Grzegorz Bancerek, Czesław Bylinski, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, and Karol Pak. The role of the Mizar Mathematical Library for interactive proof development in Mizar. Journal of Automated Reasoning, 61(1):9–32, 2018. doi:10.1007/s10817-017-9440-6.	pl
dc.description.references	Artur Korniłowicz and Christoph Schwarzweller. The first isomorphism theorem and other properties of rings. Formalized Mathematics, 22(4):291–301, 2014. doi:10.2478/forma-2014-0029.	pl
dc.description.references	Christoph Schwarzweller. On roots of polynomials over F[X]/hpi. Formalized Mathematics, 27(2):93–100, 2019. doi:10.2478/forma-2019-0010.	pl
dc.description.references	Yasushige Watase. Zariski topology. Formalized Mathematics, 26(4):277–283, 2018. doi:10.2478/forma-2018-0024.	pl
dc.description.references	Oscar Zariski and Pierre Samuel. Commutative Algebra I. Springer, 2nd edition, 1975.	pl
dc.identifier.eissn	1898-9934	-
dc.description.volume	29	pl
dc.description.issue	2	pl
dc.description.firstpage	95	pl
dc.description.lastpage	101	pl
dc.identifier.citation2	Formalized Mathematics	pl
Występuje w kolekcji(ach):	Formalized Mathematics, 2021, Volume 29, Issue 2

Pliki w tej pozycji:

Plik	Opis	Rozmiar	Format
10.2478_forma-2021-0010.pdf		255,32 kB	Adobe PDF	Otwórz

Pokaż uproszczony widok rekordu Zobacz statystyki

Pozycja ta dostępna jest na podstawie licencji Licencja Creative Commons CCL