On Landsberg's criterion for complete intersections.
On lifting prime ideals.
On linked surfaces in .
On local derivations in the Kadison sense
Let k be a field. We prove that any polynomial ring over k is a Kadison algebra if and only if k is infinite. Moreover, we present some new examples of Kadison algebras and examples of algebras which are not Kadison algebras.
On locally divided integral domains and CPI-overrings.
On -sequences associated to filtrations
On minimal ideals in the ring of real-valued continuous functions on a frame
Let be the ring of real-valued continuous functions on a frame . The aim of this paper is to study the relation between minimality of ideals of and the set of all zero sets in determined by elements of . To do this, the concepts of coz-disjointness, coz-spatiality and coz-density are introduced. In the case of a coz-dense frame , it is proved that the -ring is isomorphic to the -ring of all real continuous functions on the topological space . Finally, a one-one correspondence is...
On mixed multiplicities of homogeneous ideals.
On modular computation of standard basis.
On modules and rings with the restricted minimum condition
A module M satisfies the restricted minimum condition if M/N is artinian for every essential submodule N of M. A ring R is called a right RM-ring whenever satisfies the restricted minimum condition as a right module. We give several structural necessary conditions for particular classes of RM-rings. Furthermore, a commutative ring R is proved to be an RM-ring if and only if R/Soc(R) is noetherian and every singular module is semiartinian.
On modules in which idempotent reducts form a chain
On *-modules over valuation rings
On Monomial curves and Cohen-Macaulay type.
On Monomial k-Buchsbaum curves in P3.
On mulitplication and factorization of polynomials, II. Irreducibility discussion.
On multiplication and factorization of polynomials, I. Lexicographic orderings and extreme aggregates of terms.
On multipliciteis of local rings.
On multi-Rees algebras. With an Appenddix by Ngô Viêt Trung.
On -flat modules and -von Neumann regular rings.
On n-derivations and Relations between Elements rⁿ-r for Some n
We find complete sets of generating relations between the elements [r] = rⁿ - r for and for n = 3. One of these relations is the n-derivation property [rs] = rⁿ[s] + s[r], r,s ∈ R.