Exercises in Algebra (including trigonometry).
نویسندگان
چکیده
منابع مشابه
Exercises for Higher Algebra
(1) Let R be a division ring. Prove that every module over R is free. You will need to use Zorn’s lemma: Recall that a partially order set (=poset) S is a set with a relation x ≤ y defined between some pairs of elements x, y ∈ S, such that: (i) x ≤ x ; (ii) x ≤ y and y ≤ x implies x = y ; (iii) x ≤ y , y ≤ z ⇒ x ≤ z . A chain in S is a subset T ⊂ S such that for all t, t ′ in T , either t ≤ t ′...
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ژورنال
عنوان ژورنال: The American Mathematical Monthly
سال: 1919
ISSN: 0002-9890
DOI: 10.2307/2971752