Hermitian forms over Euclidean Rings

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Authors

  • School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabba Road Colaba, Bombay-400005 ,IN

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.

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Published

1988-12-01

How to Cite

Sinclair, P. (1988). Hermitian forms over Euclidean Rings. The Journal of the Indian Mathematical Society, 53(1-4), 115–125. Retrieved from http://informaticsjournals.com/index.php/jims/article/view/21959