單位元

出自維基百科,自由嘅百科全書
跳去導覽 跳去搵嘢

喺數學入面,單位元係一種集合入面相對於一個二元運算特別嘅組員,任何元素同單位元結合都唔會變,例如加法入面嘅0,乘法入面嘅1噉。

定義[編輯]

例子[編輯]

性質[編輯]

睇埋[編輯]

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參考[編輯]

  • Beauregard, Raymond A.; Fraleigh, John B. (1973), A First Course In Linear Algebra: with Optional Introduction to Groups, Rings, and Fields, Boston: Houghton Mifflin Company, ISBN 0-395-14017-X
  • Fraleigh, John B. (1976), A First Course In Abstract Algebra (第2nd版), Reading: Addison-Wesley, ISBN 0-201-01984-1
  • Herstein, I. N. (1964), Topics In Algebra, Waltham: Blaisdell Publishing Company, ISBN 978-1114541016
  • McCoy, Neal H. (1973), Introduction To Modern Algebra, Revised Edition, Boston: Allyn and Bacon, LCCN 68015225


讀埋[編輯]

  • M. Kilp, U. Knauer, A.V. Mikhalev, Monoids, Acts and Categories with Applications to Wreath Products and Graphs, De Gruyter Expositions in Mathematics vol. 29, Walter de Gruyter, 2000, ISBN 3-11-015248-7, p. 14–15