Trường (đại số) (Vietnamese Wikipedia)

Analysis of information sources in references of the Wikipedia article "Trường (đại số)" in Vietnamese language version.

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19doi.org

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17ams.org

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12zbmath.org

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1tripod.com

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1books.google.com

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1uni-goettingen.de

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1mathoverflow.net

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1ncsu.edu

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1arxiv.org

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ams.org

Một số tác giả coi các trường $R$ và $C$ là trường địa phương. Mặt khác, hai trường này không có chung nhiều tính chất với trường địa phương để xét tới, đến mức Cassels (1986, trang vi) gọi chúng "hoàn toàn vô nguyên tắc". Cassels, J. W. S. (1986), Local fields, London Mathematical Society Student Texts, 3, Cambridge University Press, doi:10.1017/CBO9781139171885, ISBN 0-521-30484-9, MR 0861410
Mines, Richman & Ruitenburg (1988, §II.2). Mines, Ray; Richman, Fred; Ruitenburg, Wim (1988), A course in constructive algebra, Universitext, Springer, doi:10.1007/978-1-4419-8640-5, ISBN 0-387-96640-4, MR 0919949
Kleiner (2007, trang 63) Kleiner, Israel (2007), A history of abstract algebra, Birkhäuser, doi:10.1007/978-0-8176-4685-1, ISBN 978-0-8176-4684-4, MR 2347309
Kiernan (1971, trang 50) Kiernan, B. Melvin (1971), “The development of Galois theory from Lagrange to Artin”, Archive for History of Exact Sciences, 8 (1–2): 40–154, doi:10.1007/BF00327219, MR 1554154
Bourbaki (1994, trang 75–76) Bourbaki, Nicolas (1994), Elements of the history of mathematics, Springer, doi:10.1007/978-3-642-61693-8, ISBN 3-540-19376-6, MR 1290116
Dirichlet (1871, trang 42), dịch bởi Kleiner (2007, trang 66) Dirichlet, Peter Gustav Lejeune (1871), Dedekind, Richard (biên tập), Vorlesungen über Zahlentheorie (Lectures on Number Theory) (bằng tiếng Đức), 1 (ấn bản 2), Braunschweig, Đức: Friedrich Vieweg und Sohn Kleiner, Israel (2007), A history of abstract algebra, Birkhäuser, doi:10.1007/978-0-8176-4685-1, ISBN 978-0-8176-4684-4, MR 2347309
Bourbaki (1994, p. 81) Bourbaki, Nicolas (1994), Elements of the history of mathematics, Springer, doi:10.1007/978-3-642-61693-8, ISBN 3-540-19376-6, MR 1290116
Bourbaki (1994, trang 92) Bourbaki, Nicolas (1994), Elements of the history of mathematics, Springer, doi:10.1007/978-3-642-61693-8, ISBN 3-540-19376-6, MR 1290116
Eisenbud (1995, trang 60) Eisenbud, David (1995), Commutative algebra with a view toward algebraic geometry, Graduate Texts in Mathematics, 150, New York: Springer-Verlag, doi:10.1007/978-1-4612-5350-1, ISBN 0-387-94268-8, MR 1322960
Ribenboim (1999, trang 186, §7.1) Ribenboim, Paulo (1999), The theory of classical valuations, Springer Monographs in Mathematics, Springer, doi:10.1007/978-1-4612-0551-7, ISBN 0-387-98525-5, MR 1677964
Prestel (1984, Mệnh đề 1.22) Prestel, Alexander (1984), Lectures on formally real fields, Lecture Notes in Mathematics, 1093, Springer, doi:10.1007/BFb0101548, ISBN 3-540-13885-4, MR 0769847
Prestel (1984, Định lý 1.23) Prestel, Alexander (1984), Lectures on formally real fields, Lecture Notes in Mathematics, 1093, Springer, doi:10.1007/BFb0101548, ISBN 3-540-13885-4, MR 0769847
Serre (1979) Serre, Jean-Pierre (1979), Local fields, Graduate Texts in Mathematics, 67, Springer, ISBN 0-387-90424-7, MR 0554237
Marker, Messmer & Pillay (2006, Hệ quả 1.2) Marker, David; Messmer, Margit; Pillay, Anand (2006), Model theory of fields, Lecture Notes in Logic, 5 (ấn bản 2), Association for Symbolic Logic, ISBN 978-1-56881-282-3, MR 2215060
Serre (2002) Serre, Jean-Pierre (2002), Galois cohomology, Springer Monographs in Mathematics, Dịch từ tiếng Pháp bởi Patrick Ion, Berlin, New York: Springer-Verlag, ISBN 978-3-540-42192-4, MR 1867431, Zbl 1004.12003
Eisenbud (1995, Định lý 13.3) Eisenbud, David (1995), Commutative algebra with a view toward algebraic geometry, Graduate Texts in Mathematics, 150, New York: Springer-Verlag, doi:10.1007/978-1-4612-5350-1, ISBN 0-387-94268-8, MR 1322960
Washington (1997) Washington, Lawrence C. (1997), Introduction to Cyclotomic Fields, Graduate Texts in Mathematics, 83 (ấn bản 2), New York: Springer-Verlag, doi:10.1007/978-1-4612-1934-7, ISBN 0-387-94762-0, MR 1421575

arxiv.org

Baez (2002) Baez, John C. (2002), “The octonions”, Bulletin of the American Mathematical Society, 39: 145–205, arXiv:math/0105155, doi:10.1090/S0273-0979-01-00934-X

books.google.com

Dirichlet (1871, trang 42), dịch bởi Kleiner (2007, trang 66) Dirichlet, Peter Gustav Lejeune (1871), Dedekind, Richard (biên tập), Vorlesungen über Zahlentheorie (Lectures on Number Theory) (bằng tiếng Đức), 1 (ấn bản 2), Braunschweig, Đức: Friedrich Vieweg und Sohn Kleiner, Israel (2007), A history of abstract algebra, Birkhäuser, doi:10.1007/978-0-8176-4685-1, ISBN 978-0-8176-4684-4, MR 2347309

doi.org

Một số tác giả coi các trường $R$ và $C$ là trường địa phương. Mặt khác, hai trường này không có chung nhiều tính chất với trường địa phương để xét tới, đến mức Cassels (1986, trang vi) gọi chúng "hoàn toàn vô nguyên tắc". Cassels, J. W. S. (1986), Local fields, London Mathematical Society Student Texts, 3, Cambridge University Press, doi:10.1017/CBO9781139171885, ISBN 0-521-30484-9, MR 0861410
Mines, Richman & Ruitenburg (1988, §II.2). Mines, Ray; Richman, Fred; Ruitenburg, Wim (1988), A course in constructive algebra, Universitext, Springer, doi:10.1007/978-1-4419-8640-5, ISBN 0-387-96640-4, MR 0919949
Kleiner (2007, trang 63) Kleiner, Israel (2007), A history of abstract algebra, Birkhäuser, doi:10.1007/978-0-8176-4685-1, ISBN 978-0-8176-4684-4, MR 2347309
Kiernan (1971, trang 50) Kiernan, B. Melvin (1971), “The development of Galois theory from Lagrange to Artin”, Archive for History of Exact Sciences, 8 (1–2): 40–154, doi:10.1007/BF00327219, MR 1554154
Bourbaki (1994, trang 75–76) Bourbaki, Nicolas (1994), Elements of the history of mathematics, Springer, doi:10.1007/978-3-642-61693-8, ISBN 3-540-19376-6, MR 1290116
Dirichlet (1871, trang 42), dịch bởi Kleiner (2007, trang 66) Dirichlet, Peter Gustav Lejeune (1871), Dedekind, Richard (biên tập), Vorlesungen über Zahlentheorie (Lectures on Number Theory) (bằng tiếng Đức), 1 (ấn bản 2), Braunschweig, Đức: Friedrich Vieweg und Sohn Kleiner, Israel (2007), A history of abstract algebra, Birkhäuser, doi:10.1007/978-0-8176-4685-1, ISBN 978-0-8176-4684-4, MR 2347309
Bourbaki (1994, p. 81) Bourbaki, Nicolas (1994), Elements of the history of mathematics, Springer, doi:10.1007/978-3-642-61693-8, ISBN 3-540-19376-6, MR 1290116
Bourbaki (1994, trang 92) Bourbaki, Nicolas (1994), Elements of the history of mathematics, Springer, doi:10.1007/978-3-642-61693-8, ISBN 3-540-19376-6, MR 1290116
Lang (2002, §II.1) Lang, Serge (2002), Algebra, Graduate Texts in Mathematics, 211 (ấn bản 3), Springer, doi:10.1007/978-1-4613-0041-0, ISBN 0-387-95385-X
Eisenbud (1995, trang 60) Eisenbud, David (1995), Commutative algebra with a view toward algebraic geometry, Graduate Texts in Mathematics, 150, New York: Springer-Verlag, doi:10.1007/978-1-4612-5350-1, ISBN 0-387-94268-8, MR 1322960
Ribenboim (1999, trang 186, §7.1) Ribenboim, Paulo (1999), The theory of classical valuations, Springer Monographs in Mathematics, Springer, doi:10.1007/978-1-4612-0551-7, ISBN 0-387-98525-5, MR 1677964
Prestel (1984, Mệnh đề 1.22) Prestel, Alexander (1984), Lectures on formally real fields, Lecture Notes in Mathematics, 1093, Springer, doi:10.1007/BFb0101548, ISBN 3-540-13885-4, MR 0769847
Prestel (1984, Định lý 1.23) Prestel, Alexander (1984), Lectures on formally real fields, Lecture Notes in Mathematics, 1093, Springer, doi:10.1007/BFb0101548, ISBN 3-540-13885-4, MR 0769847
Lang (2002, Định lý V.4.6) Lang, Serge (2002), Algebra, Graduate Texts in Mathematics, 211 (ấn bản 3), Springer, doi:10.1007/978-1-4613-0041-0, ISBN 0-387-95385-X
Lang (2002, §VI.1) Lang, Serge (2002), Algebra, Graduate Texts in Mathematics, 211 (ấn bản 3), Springer, doi:10.1007/978-1-4613-0041-0, ISBN 0-387-95385-X
Lang (2002, Ví dụ VI.2.6) Lang, Serge (2002), Algebra, Graduate Texts in Mathematics, 211 (ấn bản 3), Springer, doi:10.1007/978-1-4613-0041-0, ISBN 0-387-95385-X
Eisenbud (1995, Định lý 13.3) Eisenbud, David (1995), Commutative algebra with a view toward algebraic geometry, Graduate Texts in Mathematics, 150, New York: Springer-Verlag, doi:10.1007/978-1-4612-5350-1, ISBN 0-387-94268-8, MR 1322960
Washington (1997) Washington, Lawrence C. (1997), Introduction to Cyclotomic Fields, Graduate Texts in Mathematics, 83 (ấn bản 2), New York: Springer-Verlag, doi:10.1007/978-1-4612-1934-7, ISBN 0-387-94762-0, MR 1421575
Baez (2002) Baez, John C. (2002), “The octonions”, Bulletin of the American Mathematical Society, 39: 145–205, arXiv:math/0105155, doi:10.1090/S0273-0979-01-00934-X

mathoverflow.net

Banaschewski (1992). Câu hỏi Mathoverflow Banaschewski, Bernhard (1992), “Algebraic closure without choice.”, Z. Math. Logik Grundlagen Math., 38 (4): 383–385, Zbl 0739.03027

ncsu.edu

www4.ncsu.edu

van der Put & Singer (2003, §1) van der Put, M.; Singer, M. F. (2003), Galois Theory of Linear Differential Equations, Grundlehren der mathematischen Wissenschaften, 328, Springer

tripod.com

jeff560.tripod.com

Earliest Known Uses of Some of the Words of Mathematics (F)

uni-goettingen.de

resolver.sub.uni-goettingen.de

Corry (2004, trang 33). Xem thêm Fricke & Weber (1924). Corry, Leo (2004), Modern algebra and the rise of mathematical structures (ấn bản 2), Birkhäuser, ISBN 3-7643-7002-5, Zbl 1044.01008 Fricke, Robert; Weber, Heinrich Martin (1924), Lehrbuch der Algebra (bằng tiếng Đức), Vieweg, JFM 50.0042.03

zbmath.org

Lidl & Niederreiter (2008, Ví dụ 1.62) Lidl, Rudolf; Niederreiter, Harald (2008), Finite fields (ấn bản 2), Cambridge University Press, ISBN 978-0-521-06567-2, Zbl 1139.11053
Sharpe (1987, Định lý 1.3.2) Sharpe, David (1987), Rings and factorization, Cambridge University Press, ISBN 0-521-33718-6, Zbl 0674.13008
Lidl & Niederreiter (2008, Bổ đề 2.1, Định lý 2.2) Lidl, Rudolf; Niederreiter, Harald (2008), Finite fields (ấn bản 2), Cambridge University Press, ISBN 978-0-521-06567-2, Zbl 1139.11053
Lidl & Niederreiter (2008, Định lý 1.2.5) Lidl, Rudolf; Niederreiter, Harald (2008), Finite fields (ấn bản 2), Cambridge University Press, ISBN 978-0-521-06567-2, Zbl 1139.11053
Corry (2004, trang 24) Corry, Leo (2004), Modern algebra and the rise of mathematical structures (ấn bản 2), Birkhäuser, ISBN 3-7643-7002-5, Zbl 1044.01008
Corry (2004, trang 33). Xem thêm Fricke & Weber (1924). Corry, Leo (2004), Modern algebra and the rise of mathematical structures (ấn bản 2), Birkhäuser, ISBN 3-7643-7002-5, Zbl 1044.01008 Fricke, Robert; Weber, Heinrich Martin (1924), Lehrbuch der Algebra (bằng tiếng Đức), Vieweg, JFM 50.0042.03
Banaschewski (1992). Câu hỏi Mathoverflow Banaschewski, Bernhard (1992), “Algebraic closure without choice.”, Z. Math. Logik Grundlagen Math., 38 (4): 383–385, Zbl 0739.03027
Warner (1989, Chương 14) Warner, Seth (1989), Topological fields, North-Holland, ISBN 0-444-87429-1, Zbl 0683.12014
Borceux & Janelidze (2001). Xem thêm nhóm cơ bản Étale. Borceux, Francis; Janelidze, George (2001), Galois theories, Cambridge University Press, ISBN 0-521-80309-8, Zbl 0978.12004
Serre (2002) Serre, Jean-Pierre (2002), Galois cohomology, Springer Monographs in Mathematics, Dịch từ tiếng Pháp bởi Patrick Ion, Berlin, New York: Springer-Verlag, ISBN 978-3-540-42192-4, MR 1867431, Zbl 1004.12003
Serre (1978, Chương IV) Serre, Jean-Pierre (1978), A course in arithmetic, Graduate Text in Mathematics, 7, Translation of Cours d'arithmetique (ấn bản 2), Springer, Zbl 0432.10001
Serre (1992) Serre, Jean-Pierre (1992), Topics in Galois theory, Jones and Bartlett Publishers, ISBN 0-86720-210-6, Zbl 0746.12001