On finitely generated multiplication ideals in commutative rings
On finitely generated multiplication modules
We shall prove that if is a finitely generated multiplication module and is a finitely generated ideal of , then there exists a distributive lattice such that with Zariski topology is homeomorphic to to Stone topology. Finally we shall give a characterization of finitely generated multiplication -modules such that is a finitely generated ideal of .
On Form Ideals and Artin-Rees Condition.
On formal groups over complete discrete valuation rings with application to a theorem of Lutz.
On Gaussian polynomials and content ideal.
On generalized derivations of partially ordered sets
Let be a poset and be a derivation on . In this research, the notion of generalized -derivation on partially ordered sets is presented and studied. Several characterization theorems on generalized -derivations are introduced. The properties of the fixed points based on the generalized -derivations are examined. The properties of ideals and operations related with generalized -derivations are studied.
On generalized quaternion algebras.
On generalized Redei functions.
On generating sets of minimal length for polynomial ideals
On graded Bett numbers and geometrical properties of projective varieties.
On graphs associated to rings.
On Hilbert polynomial of certain determinantal ideals.
On holomorphic foliations without algebraic solutions.
On h-regular graded algebras
On h-regular grades algebras of characteristic p > 0
On hypersurfaces in with fat points in general position.
On Ideal Theory in High Prufer Domains.
On Ideals in Multidifferential Polynomial Rings.
On induced modules over strongly group-graded algebras.
On inseparable descent