Noetherian ring (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Noetherian ring" in English language version.

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Anderson & Fuller 1992, Proposition 18.13. Anderson, Frank W.; Fuller, Kent R. (1992), Rings and categories of modules, Graduate Texts in Mathematics, vol. 13 (2 ed.), New York: Springer-Verlag, pp. x+376, doi:10.1007/978-1-4612-4418-9, ISBN 0-387-97845-3, MR 1245487
Hotta, Takeuchi & Tanisaki (2008, §D.1, Proposition 1.4.6) Hotta, Ryoshi; Takeuchi, Kiyoshi; Tanisaki, Toshiyuki (2008), D-modules, perverse sheaves, and representation theory, Progress in Mathematics, vol. 236, Birkhäuser, doi:10.1007/978-0-8176-4523-6, ISBN 978-0-8176-4363-8, MR 2357361, Zbl 1292.00026
Ol’shanskiĭ, Aleksandr Yur’evich (1991). Geometry of defining relations in groups. Mathematics and Its Applications. Soviet Series. Vol. 70. Translated by Bakhturin, Yu. A. Dordrecht: Kluwer Academic Publishers. doi:10.1007/978-94-011-3618-1. ISBN 978-0-7923-1394-6. ISSN 0169-6378. MR 1191619. Zbl 0732.20019.
Anderson & Fuller 1992, Theorem 25.6. (b) Anderson, Frank W.; Fuller, Kent R. (1992), Rings and categories of modules, Graduate Texts in Mathematics, vol. 13 (2 ed.), New York: Springer-Verlag, pp. x+376, doi:10.1007/978-1-4612-4418-9, ISBN 0-387-97845-3, MR 1245487
Anderson & Fuller 1992, Theorem 25.8. Anderson, Frank W.; Fuller, Kent R. (1992), Rings and categories of modules, Graduate Texts in Mathematics, vol. 13 (2 ed.), New York: Springer-Verlag, pp. x+376, doi:10.1007/978-1-4612-4418-9, ISBN 0-387-97845-3, MR 1245487
Anderson & Fuller 1992, Corollary 26.3. Anderson, Frank W.; Fuller, Kent R. (1992), Rings and categories of modules, Graduate Texts in Mathematics, vol. 13 (2 ed.), New York: Springer-Verlag, pp. x+376, doi:10.1007/978-1-4612-4418-9, ISBN 0-387-97845-3, MR 1245487
Anderson & Fuller 1992, Lemma 25.4. Anderson, Frank W.; Fuller, Kent R. (1992), Rings and categories of modules, Graduate Texts in Mathematics, vol. 13 (2 ed.), New York: Springer-Verlag, pp. x+376, doi:10.1007/978-1-4612-4418-9, ISBN 0-387-97845-3, MR 1245487

ams.org

Formanek & Jategaonkar 1974, Theorem 3 Formanek, Edward; Jategaonkar, Arun Vinayak (1974). "Subrings of Noetherian rings". Proceedings of the American Mathematical Society. 46 (2): 181–186. doi:10.2307/2039890. JSTOR 2039890.

books.google.com

Bourbaki 1989, Ch III, §2, no. 10, Remarks at the end of the number Bourbaki, Nicolas (1989). Commutative Algebra: Chapters 1-7. Springer-Verlag. ISBN 978-0-387-19371-7.

doi.org

Eisenbud 1995, Exercise 1.1. Eisenbud, David (1995). Commutative Algebra with a View Toward Algebraic Geometry. Graduate Texts in Mathematics. Vol. 150. Springer-Verlag. doi:10.1007/978-1-4612-5350-1. ISBN 0-387-94268-8.
Cohen, Irvin S. (1950). "Commutative rings with restricted minimum condition". Duke Mathematical Journal. 17 (1): 27–42. doi:10.1215/S0012-7094-50-01704-2. ISSN 0012-7094.
Anderson & Fuller 1992, Proposition 18.13. Anderson, Frank W.; Fuller, Kent R. (1992), Rings and categories of modules, Graduate Texts in Mathematics, vol. 13 (2 ed.), New York: Springer-Verlag, pp. x+376, doi:10.1007/978-1-4612-4418-9, ISBN 0-387-97845-3, MR 1245487
Hotta, Takeuchi & Tanisaki (2008, §D.1, Proposition 1.4.6) Hotta, Ryoshi; Takeuchi, Kiyoshi; Tanisaki, Toshiyuki (2008), D-modules, perverse sheaves, and representation theory, Progress in Mathematics, vol. 236, Birkhäuser, doi:10.1007/978-0-8176-4523-6, ISBN 978-0-8176-4363-8, MR 2357361, Zbl 1292.00026
Formanek & Jategaonkar 1974, Theorem 3 Formanek, Edward; Jategaonkar, Arun Vinayak (1974). "Subrings of Noetherian rings". Proceedings of the American Mathematical Society. 46 (2): 181–186. doi:10.2307/2039890. JSTOR 2039890.
Ol’shanskiĭ, Aleksandr Yur’evich (1991). Geometry of defining relations in groups. Mathematics and Its Applications. Soviet Series. Vol. 70. Translated by Bakhturin, Yu. A. Dordrecht: Kluwer Academic Publishers. doi:10.1007/978-94-011-3618-1. ISBN 978-0-7923-1394-6. ISSN 0169-6378. MR 1191619. Zbl 0732.20019.
Eisenbud 1995, Proposition 3.11. Eisenbud, David (1995). Commutative Algebra with a View Toward Algebraic Geometry. Graduate Texts in Mathematics. Vol. 150. Springer-Verlag. doi:10.1007/978-1-4612-5350-1. ISBN 0-387-94268-8.
Anderson & Fuller 1992, Theorem 25.6. (b) Anderson, Frank W.; Fuller, Kent R. (1992), Rings and categories of modules, Graduate Texts in Mathematics, vol. 13 (2 ed.), New York: Springer-Verlag, pp. x+376, doi:10.1007/978-1-4612-4418-9, ISBN 0-387-97845-3, MR 1245487
Anderson & Fuller 1992, Theorem 25.8. Anderson, Frank W.; Fuller, Kent R. (1992), Rings and categories of modules, Graduate Texts in Mathematics, vol. 13 (2 ed.), New York: Springer-Verlag, pp. x+376, doi:10.1007/978-1-4612-4418-9, ISBN 0-387-97845-3, MR 1245487
Anderson & Fuller 1992, Corollary 26.3. Anderson, Frank W.; Fuller, Kent R. (1992), Rings and categories of modules, Graduate Texts in Mathematics, vol. 13 (2 ed.), New York: Springer-Verlag, pp. x+376, doi:10.1007/978-1-4612-4418-9, ISBN 0-387-97845-3, MR 1245487
Anderson & Fuller 1992, Lemma 25.4. Anderson, Frank W.; Fuller, Kent R. (1992), Rings and categories of modules, Graduate Texts in Mathematics, vol. 13 (2 ed.), New York: Springer-Verlag, pp. x+376, doi:10.1007/978-1-4612-4418-9, ISBN 0-387-97845-3, MR 1245487

jstor.org

Formanek & Jategaonkar 1974, Theorem 3 Formanek, Edward; Jategaonkar, Arun Vinayak (1974). "Subrings of Noetherian rings". Proceedings of the American Mathematical Society. 46 (2): 181–186. doi:10.2307/2039890. JSTOR 2039890.

projecteuclid.org

Cohen, Irvin S. (1950). "Commutative rings with restricted minimum condition". Duke Mathematical Journal. 17 (1): 27–42. doi:10.1215/S0012-7094-50-01704-2. ISSN 0012-7094.

stackexchange.com

math.stackexchange.com

The ring of stable homotopy groups of spheres is not noetherian

worldcat.org

Cohen, Irvin S. (1950). "Commutative rings with restricted minimum condition". Duke Mathematical Journal. 17 (1): 27–42. doi:10.1215/S0012-7094-50-01704-2. ISSN 0012-7094.
Ol’shanskiĭ, Aleksandr Yur’evich (1991). Geometry of defining relations in groups. Mathematics and Its Applications. Soviet Series. Vol. 70. Translated by Bakhturin, Yu. A. Dordrecht: Kluwer Academic Publishers. doi:10.1007/978-94-011-3618-1. ISBN 978-0-7923-1394-6. ISSN 0169-6378. MR 1191619. Zbl 0732.20019.

zbmath.org

Hotta, Takeuchi & Tanisaki (2008, §D.1, Proposition 1.4.6) Hotta, Ryoshi; Takeuchi, Kiyoshi; Tanisaki, Toshiyuki (2008), D-modules, perverse sheaves, and representation theory, Progress in Mathematics, vol. 236, Birkhäuser, doi:10.1007/978-0-8176-4523-6, ISBN 978-0-8176-4363-8, MR 2357361, Zbl 1292.00026
Ol’shanskiĭ, Aleksandr Yur’evich (1991). Geometry of defining relations in groups. Mathematics and Its Applications. Soviet Series. Vol. 70. Translated by Bakhturin, Yu. A. Dordrecht: Kluwer Academic Publishers. doi:10.1007/978-94-011-3618-1. ISBN 978-0-7923-1394-6. ISSN 0169-6378. MR 1191619. Zbl 0732.20019.