The Journal of the Indian Mathematical Society

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Hermitian forms over Euclidean Rings


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1 School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabba Road Colaba, Bombay-400005, India
     

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Let (B, ϑ) be a commutative Euclidean ring and let σ be an involution on B with fixed ring A such that for a1, a2 in A with a1+a2≠ 0, ϑ(a1+a2)≤ Max (ϑ(a1),ϑ(a2)} It was shown in [5] that any 2 x 2 non-singular Hermitian matrix over 5(w.r.t. σ) is diagonalisable.
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  • Hermitian forms over Euclidean Rings

Abstract Views: 221  |  PDF Views: 0

Authors

Parvin Sinclair
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabba Road Colaba, Bombay-400005, India

Abstract


Let (B, ϑ) be a commutative Euclidean ring and let σ be an involution on B with fixed ring A such that for a1, a2 in A with a1+a2≠ 0, ϑ(a1+a2)≤ Max (ϑ(a1),ϑ(a2)} It was shown in [5] that any 2 x 2 non-singular Hermitian matrix over 5(w.r.t. σ) is diagonalisable.