Ring (mathematics) (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Ring (mathematics)" in English language version.

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6ams.org

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4semanticscholar.org

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3zbmath.org

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3archive.org

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3jmilne.org

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2encyclopediaofmath.org

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1st-andrews.ac.uk

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ams.org

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Lang (2002), p. 83 Lang, Serge (2002), Algebra, Graduate Texts in Mathematics, vol. 211 (Revised third ed.), New York: Springer-Verlag, ISBN 978-0-387-95385-4, MR 1878556, Zbl 0984.00001
van der Waerden (1930) van der Waerden, Bartel Leendert (1930), Moderne Algebra. Teil I, Die Grundlehren der mathematischen Wissenschaften, vol. 33, Springer, ISBN 978-3-540-56799-8, MR 0009016
Eisenbud (1995), p. 11 Eisenbud, David (1995). Commutative algebra with a view toward algebraic geometry. Graduate Texts in Mathematics. Vol. 150. Springer. MR 1322960.
Lang (2002), Ch. XVII. Proposition 1.1 Lang, Serge (2002), Algebra, Graduate Texts in Mathematics, vol. 211 (Revised third ed.), New York: Springer-Verlag, ISBN 978-0-387-95385-4, MR 1878556, Zbl 0984.00001
Eisenbud (1995), Exercise 2.2 Eisenbud, David (1995). Commutative algebra with a view toward algebraic geometry. Graduate Texts in Mathematics. Vol. 150. Springer. MR 1322960.
Lang (2002), Ch XIV, §2 Lang, Serge (2002), Algebra, Graduate Texts in Mathematics, vol. 211 (Revised third ed.), New York: Springer-Verlag, ISBN 978-0-387-95385-4, MR 1878556, Zbl 0984.00001

archive.org

Cohn (1980), p. 49 Cohn, Harvey (1980), Advanced Number Theory, New York: Dover Publications, ISBN 978-0-486-64023-5
Cohn (1995), Proposition 1.3.1 Cohn, Paul Moritz (1995), Skew Fields: Theory of General Division Rings, Encyclopedia of Mathematics and its Applications, vol. 57, Cambridge University Press, ISBN 9780521432177
Cohn (1995), pg. 242 Cohn, Paul Moritz (1995), Skew Fields: Theory of General Division Rings, Encyclopedia of Mathematics and its Applications, vol. 57, Cambridge University Press, ISBN 9780521432177

arxiv.org

Poonen (2019) Poonen, Bjorn (2019), "Why all rings should have a 1", Mathematics Magazine, 92 (1): 58−62, arXiv:1404.0135, JSTOR 48666015

books.google.com

Cohn (1995), pg. 242 Cohn, Paul Moritz (1995), Skew Fields: Theory of General Division Rings, Encyclopedia of Mathematics and its Applications, vol. 57, Cambridge University Press, ISBN 9780521432177
Weibel (2013), p. 26, Ch 1, Theorem 3.8 Weibel, Charles A. (2013), The K-book: An Introduction to Algebraic K-theory, Graduate Studies in Mathermatics, vol. 145, American Mathematical Society, ISBN 9780821891322 (also online)

doi.org

Kleiner (1998), p. 27 Kleiner, Israel (February 1998). "From Numbers to Rings: The Early History of Ring Theory". Elemente der Mathematik. 53 (1): 18–35. doi:10.1007/s000170050029.
Fraenkel (1915), pp. 143–145 Fraenkel, A. (1915). "Über die Teiler der Null und die Zerlegung von Ringen". J. Reine Angew. Math. 1915 (145): 139–176. doi:10.1515/crll.1915.145.139. S2CID 118962421.
Fraenkel (1915), p. 144, axiom R₈₎ Fraenkel, A. (1915). "Über die Teiler der Null und die Zerlegung von Ringen". J. Reine Angew. Math. 1915 (145): 139–176. doi:10.1515/crll.1915.145.139. S2CID 118962421.
Noether (1921), p. 29 Noether, Emmy (1921). "Idealtheorie in Ringbereichen". Math. Annalen. 83 (1–2): 24–66. doi:10.1007/bf01464225. S2CID 121594471.
Fraenkel (1915), p. 144, axiom R₇₎ Fraenkel, A. (1915). "Über die Teiler der Null und die Zerlegung von Ringen". J. Reine Angew. Math. 1915 (145): 139–176. doi:10.1515/crll.1915.145.139. S2CID 118962421.

encyclopediaofmath.org

"Non-associative rings and algebras". Encyclopedia of Mathematics.
"Associative rings and algebras". Encyclopedia of Mathematics.

google.ca

books.google.ca

Weibel (2013), p. 26, Ch 1, Theorem 3.8 Weibel, Charles A. (2013), The K-book: An Introduction to Algebraic K-theory, Graduate Studies in Mathermatics, vol. 145, American Mathematical Society, ISBN 9780821891322 (also online)

jmilne.org

Milne (2012), Proposition 6.4 Milne, J. (2012). "A primer of commutative algebra". v2.23.
Milne (2012), end of Chapter 7 Milne, J. (2012). "A primer of commutative algebra". v2.23.
Milne & CFT, Ch IV, §2 Milne, J. "Class field theory".

jstor.org

Poonen (2019) Poonen, Bjorn (2019), "Why all rings should have a 1", Mathematics Magazine, 92 (1): 58−62, arXiv:1404.0135, JSTOR 48666015

numdam.org

Serre (1950) Serre, J-P. (1950), Applications algébriques de la cohomologie des groupes, I, II, Séminaire Henri Cartan, 1950/51

rutgers.edu

sites.math.rutgers.edu

Weibel (2013), p. 26, Ch 1, Theorem 3.8 Weibel, Charles A. (2013), The K-book: An Introduction to Algebraic K-theory, Graduate Studies in Mathermatics, vol. 145, American Mathematical Society, ISBN 9780821891322 (also online)

semanticscholar.org

api.semanticscholar.org

Fraenkel (1915), pp. 143–145 Fraenkel, A. (1915). "Über die Teiler der Null und die Zerlegung von Ringen". J. Reine Angew. Math. 1915 (145): 139–176. doi:10.1515/crll.1915.145.139. S2CID 118962421.
Fraenkel (1915), p. 144, axiom R₈₎ Fraenkel, A. (1915). "Über die Teiler der Null und die Zerlegung von Ringen". J. Reine Angew. Math. 1915 (145): 139–176. doi:10.1515/crll.1915.145.139. S2CID 118962421.
Noether (1921), p. 29 Noether, Emmy (1921). "Idealtheorie in Ringbereichen". Math. Annalen. 83 (1–2): 24–66. doi:10.1007/bf01464225. S2CID 121594471.
Fraenkel (1915), p. 144, axiom R₇₎ Fraenkel, A. (1915). "Über die Teiler der Null und die Zerlegung von Ringen". J. Reine Angew. Math. 1915 (145): 139–176. doi:10.1515/crll.1915.145.139. S2CID 118962421.

st-andrews.ac.uk

mathshistory.st-andrews.ac.uk

"The development of Ring Theory".

zbmath.org

Lang (2002), p. 83 Lang, Serge (2002), Algebra, Graduate Texts in Mathematics, vol. 211 (Revised third ed.), New York: Springer-Verlag, ISBN 978-0-387-95385-4, MR 1878556, Zbl 0984.00001
Lang (2002), Ch. XVII. Proposition 1.1 Lang, Serge (2002), Algebra, Graduate Texts in Mathematics, vol. 211 (Revised third ed.), New York: Springer-Verlag, ISBN 978-0-387-95385-4, MR 1878556, Zbl 0984.00001
Lang (2002), Ch XIV, §2 Lang, Serge (2002), Algebra, Graduate Texts in Mathematics, vol. 211 (Revised third ed.), New York: Springer-Verlag, ISBN 978-0-387-95385-4, MR 1878556, Zbl 0984.00001

zenodo.org

Noether (1921), p. 29 Noether, Emmy (1921). "Idealtheorie in Ringbereichen". Math. Annalen. 83 (1–2): 24–66. doi:10.1007/bf01464225. S2CID 121594471.