I * is also examined in terms of a sequence of subideals I n and the relation type of I when R is a local ring. Several characterizations of I * are given in terms of the kernels of certain ring homomorphisms, and then it is shown that this new ideal has many nice applications, ...
Define a module representation to be a linear parameterisation of a collection of module homomorphisms over a ring. Generalising work of Knuth, we define duality functors indexed by the elements of the symmetric group of degree three between categories of module representations. We show that these...