A splitting theorem for ℱ-products
A structure sheaf on the projective spectrum of a graded fully bounded Noetherian ring.
A structure theorem for right invariant right holoids.
A subclass of strongly clean rings
In this paper, we introduce a subclass of strongly clean rings. Let be a ring with identity, be the Jacobson radical of , and let denote the set of all elements of which are nilpotent in . An element is called very -clean provided that there exists an idempotent such that and or is an element of . A ring is said to be very -clean in case every element in is very -clean. We prove that every very -clean ring is strongly -rad clean and has stable range one. It is shown...
A surjectivity theorem for rigid highest weight modules.
A Survey of Rings Generated by Units
This article presents a brief survey of the work done on rings generated by their units.
A SURVEY OF SEMIGROUPS OF CONTINUOUS SELFMAPS.
A theorem on direct products of Slender modules
A theoreme on derivations in semiprime rings.
A unified approach to the Armendariz property of polynomial rings and power series rings
A ring R is called Armendariz (resp., Armendariz of power series type) if, whenever in R[x] (resp., in R[[x]]), then for all i and j. This paper deals with a unified generalization of the two concepts (see Definition 2). Some known results on Armendariz rings are extended to this more general situation and new results are obtained as consequences. For instance, it is proved that a ring R is Armendariz of power series type iff the same is true of R[[x]]. For an injective endomorphism σ of a ring...
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...
A weak Hasse principle for central simple algebras with an involution.
A weak periodicity condition for rings.
A weaker form of Baer’s splitting problem for torsion theories
Abbildungen auf Ringen insbesondere mit Involution
Abelian group pairs having a trivial coGalois group
Torsion-free covers are considered for objects in the category Objects in the category are just maps in -Mod. For we find necessary and sufficient conditions for the coGalois group associated to a torsion-free cover, to be trivial for an object in Our results generalize those of E. Enochs and J. Rado for abelian groups.
Abelian groups which have trivial absolute coGalois group
In this article we characterize those abelian groups for which the coGalois group (associated to a torsion free cover) is equal to the identity.
Abelian groups whose endomorphism ring is linearly compact
Abelian modules.
Abelian p-adic Group Rings.