Search Results

You are looking at 1 - 10 of 10 items for :

  • "rings of quotients" x
  • All content x
Clear All

Abstract  

We compute the maximal symmetric ring of quotients of infinite dimensional path algebras that can be approximated by finite dimensional path algebras.

Restricted access

We generalize the well-known fact that for a pair of Morita equivalent ringsR andS their maximal rings of quotients are again Morita equivalent: If τn (M) denotes the torsion theory cogenerated by the direct sum of the firstn+1 injective modules forming part of the minimal injective resolution ofM then ατn (R)=τn (S) where α is the category equivalenceR-Mod→S-Mod. Consequently the localized ringsR τn (R) andS τ n (S) are Morita equivalent.

Restricted access

In this paper we study rings R with the property that every finitely generated ideal of R consisting entirely of zero divisors has a nonzero annihilator. The class of commutative rings with this property is quite large; for example, noetherian rings, rings whose prime ideals are maximal, the polynomial ring R[x] and rings whose classical ring of quotients are von Neumann regular. We continue to study conditions under which right mininjective rings, right FP-injective rings, right weakly continuous rings, right extending rings, one sided duo rings, semiregular rings and semiperfect rings have this property.

Restricted access

A ring R has the (A)-property (resp., strong (A)-property) if every finitely generated ideal of R consisting entirely of zero divisors (resp., every finitely generated ideal of R generated by a finite number of zero-divisors elements of R) has a nonzero annihilator. The class of commutative rings with property (A) is quite large; for example, Noetherian rings, rings whose prime ideals are maximal, the polynomial ring R[x] and rings whose total ring of quotients are von Neumann regular. Let f : AB be a ring homomorphism and J be an ideal of B. In this paper, we investigate when the (A)-property and strong (A)-property are satisfied by the amalgamation of rings denoted by Af J, introduced by D'Anna, Finocchiaro and Fontana in [3]. Our aim is to construct new original classes of (A)-rings that are not strong (A)-rings, (A)-rings that are not Noetherian and (A)-rings whose total ring of quotients are not Von Neumann regular rings.

Restricted access

Stenström, B. , Rings of Quotients , Springer, Berlin, 1975. Stenström B. Rings of Quotients 1975

Restricted access

Stenstrom, B. , Rings of quotients , Springer-Verlag, Berlin, Heidelberg, 1975. Stenstrom B. Rings of quotients 1975

Restricted access

Quotients , Springer, Berlin, 1975. MR 52 //10782 Stenstrom B. Rings of Quotients 1975

Restricted access

323 329 Stenström, B. , Rings of Quotients , Berlin-Heidelberg-New York Springer-Verlag, 1975. Stenström B

Restricted access