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pro vyhledávání: '"J.Chris Robson"'
Autor:
J.Chris Robson, Kevin Michael Cowley
Publikováno v:
Communications in Algebra. 29:2887-2898
Our intention in this paper is to discuss the passage of certain properties from a ring S to a subring R related to S in a specific way. Before describing this relationship, it seems best to descri...
Autor:
J.Chris Robson
Publikováno v:
The Mathematical Gazette. 83:386-393
Thank you for the honour of being your president. Being such was not an ambition of mine – it was not even considered as a possibility. However, I have enjoyed the experience, and will for the few more hours which are allowed to me.In the course of
Autor:
Lawrence S. Levy, J.Chris Robson
Publikováno v:
Journal of Algebra. 218(2):338-372
Let R be a hereditary Noetherian prime ring. We determine a full set of invariants for the isomorphism class of any finitely generated projective R -module of uniform dimension at least 2. In particular we prove that P ⊕ X ≅ Q ⊕ X implies P ≅
Autor:
Lawrence S. Levy, J.Chris Robson
Publikováno v:
Journal of Algebra. 29:427-454
It is proved that each matrix over a principal ideal ring is equivalent to some diagonal matrix. Partial results are obtained on the uniqueness of the diagonal form obtained. These results are obtained by specializing some general properties about si
Autor:
J.Chris Robson, Lawrence S. Levy
Publikováno v:
Journal of Algebra. (2):307-337
This is the first of three papers that aim to bring the known theory of projective modules over a hereditary Noetherian prime ring R up to roughly the same level as the well-known commutative case, where R is a Dedekind domain. This first paper lays