On a generalization of a Prüfer-Kaplansky-Procházka theorem
On a generalization of de Rham lemma
Let be a free module over a noetherian ring. For , let be the ideal generated by coefficients of . For an element with , if , there exists such that .This is a generalization of a lemma on the division of forms due to de Rham (Comment. Math. Helv., 28 (1954)) and has some applications to the study of singularities.
On chains of free modules over valuation domains
On Gaussian polynomials and content ideal.
On locally divided integral domains and CPI-overrings.
On Projective Modules.
On Projective Resolutions of Frobenius Algebras and Gorenstein Rings.
On quasi-projective uniserial modules
On some properties of polynomial rings.
On the Bass-Quillen Conjecture Concerning Projective Modules Over Polynomial Rings.
On the Buchsbaum-Eisenbud theory of finite free resolutions.
On the class group of affinoid spaces
On the dependence of Koszul homology from the generators of an ideal.
On the dual of a finitely generated multiplication module II
On the equivalence of algebraic and geometric local cohomology
In this paper, we will present several necessary and sufficient conditions on a commutative ring such that the algebraic and geometric local cohomologies are equivalent.
On the ... in a minimal injective resolution II.
On the module of homomorphisms on finitely generated projective modules
On the nontrivial solvability of systems of homogeneous linear equations over in ZFC
Motivated by the paper by H. Herrlich, E. Tachtsis (2017) we investigate in ZFC the following compactness question: for which uncountable cardinals , an arbitrary nonempty system of homogeneous -linear equations is nontrivially solvable in provided that each of its subsystems of cardinality less than is nontrivially solvable in ?
On the product of a module by an ideal
On the trivialization of line bundles over schemes