Nonsingular bilinear forms on direct sums of ideals

Beata Rothkegel
2013 Mathematica Slovaca  
AbstractIn the paper we formulate a criterion for the nonsingularity of a bilinear form on a direct sum of finitely many invertible ideals of a domain. We classify these forms up to isometry and, in the case of a Dedekind domain, up to similarity.
doi:10.2478/s12175-013-0130-5 fatcat:tppady56q5h7rhzw6idfbgq3hm