Communications in Algebra

Caballero, Carlos E.

doi: 10.1080/00927878608823398pmid: N/A

Lau, William G.

doi: 10.1080/00927878608823399pmid: N/A

Alfonsi, Bernard

doi: 10.1080/00927878608823400pmid: N/A

Pedrini, Claudio; Weibel, Charles

doi: 10.1080/00927878608823401pmid: N/A

Franciosi, Silvana; De Giovanni, Francesco

doi: 10.1080/00927878608823402pmid: N/A

Monari Martinez, Elisabetta

doi: 10.1080/00927878608823403pmid: N/A

Lawrence, J.W.; Zorzitto, F.A.; Okoh, F.

doi: 10.1080/00927878608823404pmid: N/A

There exists a function f: K → K, on any infinite field K, such that for any rational function r(X), f and r agree on a finite but not empty set. The purely simple modules of rank two over the Kronecker algebra may be all indexed by three parameters: a positive integer n, a height function and a K-linear map α: K(X) → K. When the support of h,i.e. { θ ε K: h(θ) ≥ 0}, has lesser cardinality than K,then the integer n is redundant. If the support of hhas the same cardinality as K, then for each there exists a purely simple, rank two, A-module E(n,h,α),not isomorphic to any other purely simple module of rank two, which is indexed by a positive integer less than n. The construction of this E(n,h,α) uses the function f.

Walcher, Sebastian

doi: 10.1080/00927878608823405pmid: N/A

Torrecillas, Blas

doi: 10.1080/00927878608823406pmid: N/A

Nǎstǎsescu, C.; Nauwelaerts, E.; Van Oystaeyen, F.

doi: 10.1080/00927878608823407pmid: N/A