A priori bounds of Castelnuovo type for cohomological Hilbert functions.
A reciprocity law for K2-traces.
A remark on Koszul complexes.
A restriction theorem and the Poincare series for U-invariants.
A set of generators for Ext...(k,k).
A short note on the non-negativity of partial Euler characteristics.
A standard basis approach to syzygies of canonical curves.
A study of graded extremal rings and of monominal rings.
A survey on local cohomology and 𝓓-modules
A variant theory for the Gorenstein flat dimension
This paper discusses a variant theory for the Gorenstein flat dimension. Actually, since it is not yet known whether the category (R) of Gorenstein flat modules over a ring R is projectively resolving or not, it appears legitimate to seek alternate ways of measuring the Gorenstein flat dimension of modules which coincide with the usual one in the case where (R) is projectively resolving, on the one hand, and present nice behavior for an arbitrary ring R, on the other. In this paper, we introduce...
Abelian splitting of division algebras of prime degrees.
About G-rings
In this paper, we are concerned with G-rings. We generalize the Kaplansky’s theorem to rings with zero-divisors. Also, we assert that if is a ring extension such that for some regular element of , then is a G-ring if and only if so is . Also, we examine the transfer of the G-ring property to trivial ring extensions. Finally, we conclude the paper with illustrative examples discussing the utility and limits of our results.
ACM sets of points in multiprojective space
Acyclicity versus total acyclicity for complexes over noetherian rings.
Addendum zu: Quasi-Frobenius-Algebren und lokal vollständige Durchschnitte:
Adic-completion and some dual homological results.
Let a be an ideal of a commutative ring A. There is a kind of duality between the left derived functors Uia of the a-adic completion functor, called local homology functors, and the local cohomology functors Hai.Some dual results are obtained for these Uia, and also inequalities involving both local homology and local cohomology when the ring A is noetherian or more generally when the Ua and Ha-global dimensions of A are finite.
Algebra Retracts and Poincaré-Series.
Algebraic properties of edge ideals via combinatorial topology.
Algèbres Graduées Associées et Algèbres Symétriques Plates
Almost free splitters
Let R be a subring of the rationals. We want to investigate self splitting R-modules G, that is, such that . For simplicity we will call such modules splitters (see [10]). Also other names like stones are used (see a dictionary in Ringel’s paper [8]). Our investigation continues [5]. In [5] we answered an open problem by constructing a large class of splitters. Classical splitters are free modules and torsion-free, algebraically compact ones. In [5] we concentrated on splitters which are larger...