O čtrnáctém Hilbertově problému
On -fibrations of subalgebras of polynomial algebras
On A Combinatorial Problem Connected withFactorizations
On a formula of Beniamino Segre.
On a generalization of a Prüfer-Kaplansky-Procházka theorem
On a lifting problem for principal Dedekind domains
On a non-vanishing Ext
On A Problem Of Samuel
On a theorem by Kronecker.
On a theorem of F. S. Macaulay on colon ideals.
On a theorem of Fröberg and saturated graphs.
On almost-free modules over complete discrete valuation rings
On Armendariz rings.
On Artin's Conjecture and Euclid's Algorithm in Global Fields.
On Bhargava rings
Let be an integral domain with the quotient field , an indeterminate over and an element of . The Bhargava ring over at is defined to be . In fact, is a subring of the ring of integer-valued polynomials over . In this paper, we aim to investigate the behavior of under localization. In particular, we prove that behaves well under localization at prime ideals of , when is a locally finite intersection of localizations. We also attempt a classification of integral domains ...
On Certain Numbers Associated to Isolated Critical Points.
On chains of centered valuations.
On commutative FGI-Rings.
On commutative principal ideal semigroup rings.
On commutative rings whose prime ideals are direct sums of cyclics
In this paper we study commutative rings whose prime ideals are direct sums of cyclic modules. In the case is a finite direct product of commutative local rings, the structure of such rings is completely described. In particular, it is shown that for a local ring , the following statements are equivalent: (1) Every prime ideal of is a direct sum of cyclic -modules; (2) where is an index set and is a principal ideal ring for each ; (3) Every prime ideal of is a direct sum of at most...