학술저널
On a Transversality over Local Global Rings
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 7, No. 1
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1994.0633 - 39 (7 pages)
- 0
The purpose of this paper prove the following property; Suppose A has many units (local global ring) and │A/m│ > 5 for every maximal ideal m ⊆ A. Let(E, q) ∈ Q(A) and E = E₁⊥…⊥Et be an orthogonl decomposition of E with t ≥ 2 and rk(Ei) ≥ 1, for i = 1,…, t. Let ∈ E be a primitive vector. Then there exists σ ∈ O(q) such that σ(x) is transversal to this decomposition.
ABSTRACT
1. Introduction
2. Some preliminary lemmas and result
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