A Note on Derivations of Commutative Rings.
A note on generalized primary rings
A note on indecomposable modules over valuation domains
A note on indecomposable projective modules
A note on perfect rings.
A note on PG-modules.
A note on projective modules and multiplication modules
A Note on Projective Modules Over Polynomial Rings.
A note on the countable union of prime submodules.
A note on the dual of a finitely generated multiplication module
A Note on the Hilbertfunction of a One-Dimensional Cohen-Macaulay Ring.
A note to the unipotency of the identity component of the group of algebra automorphisms.
A procedure to compute prime filtration
Let K be a field, S = K[x 1, … x n] be a polynomial ring in n variables over K and I ⊂ S be an ideal. We give a procedure to compute a prime filtration of S/I. We proceed as in the classical case by constructing an ascending chain of ideals of S starting from I and ending at S. The procedure of this paper is developed and has been implemented in the computer algebra system Singular.
A Product Theorem for Lattices over Orders.
A remark on projectively closed purities
A Remark on Pure Ideals and Projective Modules.
A remark on the quadratic analogue of the Quillen-Suslin theorem.
A simple proof of uniqueness for torsion modules over principal ideal domains.
The aim of this note is to give an alternative proof of uniqueness for the decomposition of a finitely generated torsion module over a P.I.D. (= principal ideal domain) as a direct sum of indecomposable submodules.Our proof tries to mimic as far as we can the standard procedures used when dealing with vector spaces.For the sake of completeness we also include a proof of the existence theorem.
A splitting theorem for quadratic forms.
A Theorem of Grothendieck Using Picard Groups for the Algebraist.