نظرية الحلقات
البنى الجبرية |
---|
أشباه الزمرة
|
أشباه الحلقة
|
Lattice-like
|
أشباه الفضاء الحلقي
|
أشباه الجبري
|
نطقب:Ring theory sidebar
في الرياضيات، نظرية الحلقات ring theory هي دراسة الحلقات، والبنى الجبرية التي تعهد بها عمليات الجمع والجداء بخواص مماثلة لعمليات الأعداد السليمة integer.
الهامش
المراجع
- Allenby, R. B. J. T. (1991), Rings, Fields and Groups (Second ed.), Edward Arnold, London, p. xxvi+383, ISBN 0-7131-3476-3
- Blyth, T.S.; Robertson, E.F. (1985), Groups, Rings and Fields: Algebra through practice, Book 3, Cambridge: Cambridge University Press, ISBN 0-521-27288-2
- Faith, Carl (1999), Rings and Things and a Fine Array of Twentieth Century Associative Algebra, Mathematical Surveys and Monographs, 65, Providence, RI: American Mathematical Society, ISBN 0-8218-0993-8
- Goodearl, K. R.; Warfield, R. B., Jr. (1989), An Introduction to Noncommutative Noetherian Rings, London Mathematical Society Student Texts, 16, Cambridge: Cambridge University Press, ISBN 0-521-36086-2
- Judson, Thomas W. (1997), Abstract Algebra: Theory and Applications, https://abstract.ups.edu
- Kimberling, Clark (1981), "Emmy Noether and Her Influence", in Brewer, James W; Smith, Martha K, Emmy Noether: A Tribute to Her Life and Work, Marcel Dekker, pp. 3–61
- Lam, T. Y. (1999), Lectures on Modules and Rings, Graduate Texts in Mathematics, 189, New York: Springer-Verlag, doi: , ISBN 0-387-98428-3
- Lam, T. Y. (2001), A First Course in Noncommutative Rings, Graduate Texts in Mathematics, 131 (Second ed.), New York: Springer-Verlag, doi: , ISBN 0-387-95183-0
- Lam, T. Y. (2003), Exercises in Classical Ring Theory, Problem Books in Mathematics (Second ed.), New York: Springer-Verlag, ISBN 0-387-00500-5
- Matsumura, Hideyuki (1980), Commutative Algebra, Mathematics Lecture Note Series, 56 (Second ed.), Reading, Mass.: Benjamin Cummings, ISBN 0-8053-7026-9
- McConnell, J. C.; Robson, J. C. (2001), Noncommutative Noetherian Rings, Graduate Studies in Mathematics, 30, Providence, RI: American Mathematical Society, doi: , ISBN 0-8218-2169-5
- O'Connor, J. J.; Robertson, E. F. (September 2004), "The development of ring theory", MacTutor History of Mathematics Archive
- Pierce, Richard S. (1982), Associative Algebras, Graduate Texts in Mathematics, 88, New York: Springer-Verlag, ISBN 0-387-90693-2
- Rowen, Louis H. (1988), Ring Theory, Vol. I, Pure and Applied Mathematics, 127, Boston, MA: Academic Press, ISBN 0-12-599841-4. Vol. II, Pure and Applied Mathematics 128, نطقب:Isbn.
- Weibel, Charles A. (2013), The K-book: An introduction to algebraic K-theory, Graduate Studies in Mathematics, 145, Providence, RI: American Mathematical Society, ISBN 978-0-8218-9132-2, https://www.math.rutgers.edu/~weibel/Kbook.html