$T$-forms and their properties
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 6, Tome 265 (1999), pp. 229-236
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This paper continues the paper “Bilinear forms on categories” by the second of the authors. A class of nondegenerate forms is introduced; in particular, any isomorphism of a totally isotropic direct summand onto another totally isotropic direct summand of an object with a form this class can be extended till a metric automorphism of the object (even if the division by 2 of morpisms is impossible).