Finite dimensional completions in Noether lattices
Finitely generated projective ideals in commutative rings.
Finitely generated projective modules and Fitting ideals.
Fittings's Invariants and a Theorem of Grauert.
Flat Ideals II.
Flat Modules and Torsion Theories.
Flat modules in algebraic geometry
Flatness testing over singular bases
We show that non-flatness of a morphism φ:X→ Y of complex-analytic spaces with a locally irreducible target of dimension n manifests in the existence of vertical components in the n-fold fibred power of the pull-back of φ to the desingularization of Y. An algebraic analogue follows: Let R be a locally (analytically) irreducible finite type ℂ-algebra and an integral domain of Krull dimension n, and let S be a regular n-dimensional algebra of finite type over R (but not necessarily a finite R-module),...
Formal power series rings over a -domain
From a single chain to a large family of submodules.
Fully inert submodules of torsion-free modules over the ring of p-adic integers
Fully inert submodules of torsion-free -modules are investigated. It is proved that if the module considered is either free or complete, these submodules are exactly those which are commensurable with fully invariant submodules; examples are given of torsion-free -modules for which this property fails.
Functorial Subgroups Commuting with Inverse Limits.
Funktoren in der Kategorie der lokal kompakten Moduln.
Fuzzy small submodule and Jacobson -radical.
Gabriel dimension of graded rings
Galois triangle theory for certain free modules
Galois triangle theory for direct summands of modules
Gaussian and Prüfer conditions in bi-amalgamated algebras
Let and be two ring homomorphisms and let and be ideals of and , respectively, such that . In this paper, we investigate the transfer of the notions of Gaussian and Prüfer rings to the bi-amalgamation of with along with respect to (denoted by introduced and studied by S. Kabbaj, K. Louartiti and M. Tamekkante in 2013. Our results recover well known results on amalgamations in C. A. Finocchiaro (2014) and generate new original examples of rings possessing these properties.
Generalized equivalence of matrices over Prüfer domains.
(Generalized) filter properties of the amalgamated algebra
Let and be commutative rings with unity, a ring homomorphism and an ideal of . Then the subring and of is called the amalgamation of with along with respect to . In this paper, we determine when is a (generalized) filter ring.