Amplitude inequalities for complexes
An addendum and corrigendum to "Almost free splitters" (Colloq. Math. 81 (1999), 193-221)
Let R be a subring of the rational numbers ℚ. We recall from [3] that an R-module G is a splitter if . In this note we correct the statement of Main Theorem 1.5 in [3] and discuss the existence of non-free splitters of cardinality ℵ₁ under the negation of the special continuum hypothesis CH.
An algebraic framework for linear identification
A closed loop parametrical identification procedure for continuous-time constant linear systems is introduced. This approach which exhibits good robustness properties with respect to a large variety of additive perturbations is based on the following mathematical tools: (1) module theory; (2) differential algebra; (3) operational calculus. Several concrete case-studies with computer simulations demonstrate the efficiency of our on-line identification scheme.
An algebraic framework for linear identification
A closed loop parametrical identification procedure for continuous-time constant linear systems is introduced. This approach which exhibits good robustness properties with respect to a large variety of additive perturbations is based on the following mathematical tools: (1) module theory; (2) differential algebra; (3) operational calculus. Several concrete case-studies with computer simulations demonstrate the efficiency of our on-line identification scheme.
An Application of Jonsson Modules to Some Questions Concerning Proper Subrings.
An application of modules of generalized fractions to grades of ideals and Gorenstein rings
An example concerning the embedded primes associated with an ideal in the ring of polynomials.
An improved Briancon-Skoda theorem with applications to the Cohen-Macaulayness of Rees algebras.
An iterative construction of bases for finitely generated modules over principal ideal domains
Anneaux cohérents de dimension homologique finie
Applications of Factor Categories to Completely Indecomposable Modules
Arbitrarily large indecomposable divisible torsion modules over certain valuation domains
Arithmetically Cohen-Macaulay curves in P4 of degree 4 and genus 0.
Artin-Nagata properties and Cohen-Macaulay associated graded rings
Associated primes and primal decomposition of modules over commutative rings
Let R be a commutative ring and let M be an R-module. The aim of this paper is to establish an efficient decomposition of a proper submodule N of M as an intersection of primal submodules. We prove the existence of a canonical primal decomposition, , where the intersection is taken over the isolated components of N that are primal submodules having distinct and incomparable adjoint prime ideals . Using this decomposition, we prove that for ∈ Supp(M/N), the submodule N is an intersection of -primal...