Losonczy in [16] , [26] , and was later generalized to the context of vector subspaces in a field extension [13] , [1] . We discuss the acyclic matching and weak acyclic matching properties and we provide results on the existence of acyclic matchings in finite cyclic groups. As for ...
Definition 5.1 Given finite-dimensional vector spaces X and Y and a subalgebra A of F(X ), we shall call an element ∈ F(Y , X ) ⊗ F(X , Y ) a generalized diagonal (g.d. in short) for A if 123 Some results and questions on r-amenability Page 19 of 54 7 (i) W = W...
We can iterate this until we get a nondegenerate quadratic form, so -dimensional quadratic forms are in some sense equivalent to at-most--dimensional nondegenerate quadratic forms (in terms of abstract vector spaces, a quadratic form on a vector space is a nondegenerate quadratic form on some...