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url url
  2. Weltenzyklopädie
  3. طیف حلقه
طیف حلقه
از ویکی‌پدیا، دانشنامهٔ آزاد
(تغییرمسیر از طیف یک حلقه)

در جبر جابه‌جایی، طیفِ اول (به انگلیسی: Prime Spectrum) (یا طیف ایده‌آل‌های اول یا صرفاً طیف) از حلقه‌ای چون ، مجموعه تمام ایده‌آل‌های اول است که اغلب با نشان داده می‌شود.[۱] طیفِ حلقه در هندسه جبری هم‌زمان یک فضای توپولوژی مجهز به بافه‌ای از حلقه‌هاست (شیفِ حلقه‌ها).[۲]

ارجاعات

[ویرایش]
  1. ↑ Sharp 2001, p. 44, Def. 3.26.
  2. ↑ Hartshorne 1977, p. 70, Definition.

منابع

[ویرایش]
  • Atiyah, Michael Francis; Macdonald, I.G. (1969). Introduction to Commutative Algebra. Westview Press. ISBN 978-0-201-40751-8.
  • Cox, David; O'Shea, Donal; Little, John (1997), Ideals, Varieties, and Algorithms, Berlin, New York: Springer-Verlag, ISBN 978-0-387-94680-1
  • Eisenbud, David; Harris, Joe (2000), The geometry of schemes, Graduate Texts in Mathematics, vol. 197, Berlin, New York: Springer-Verlag, ISBN 978-0-387-98637-1, MR 1730819
  • Hartshorne, Robin (1977), Algebraic Geometry, Berlin, New York: Springer-Verlag, ISBN 978-0-387-90244-9, MR 0463157
  • Sharp, Rodney Y. (2001). Steps in Commutative Algebra (2nd ed.). Cambridge University Press. ISBN 978-0-511-62368-4.
آیکون خرد

این یک مقالهٔ خرد مربوط به جبر مجرد است. می‌توانید با گسترش آن به ویکی‌پدیا کمک کنید.

آیکون خرد

این یک مقالهٔ خرد مربوط به هندسه جبری است. می‌توانید با گسترش آن به ویکی‌پدیا کمک کنید.

برگرفته از «https://fa.wikipedia.org/w/index.php?title=طیف_حلقه&oldid=33012255»
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