Direct products of linearly compact primary rings
Direct sums of -rings and radical rings.
Direct sums of semi-projective modules
We investigate when the direct sum of semi-projective modules is semi-projective. It is proved that if R is a right Ore domain with right quotient division ring Q ≠ R and X is a free right R-module then the right R-module Q ⊕ X is semi-projective if and only if there does not exist an R-epimorphism from X to Q.
Directing components for quasitilted algebras
We show here that a directing component of the Auslander-Reiten quiver of a quasitilted algebra is either postprojective or preinjective or a connecting component.
Distributive lattices of t-k-Archimedean semirings
A semiring S in 𝕊𝕃⁺ is a t-k-Archimedean semiring if for all a,b ∈ S, b ∈ √(Sa) ∩ √(aS). Here we introduce the t-k-Archimedean semirings and characterize the semirings which are distributive lattice (chain) of t-k-Archimedean semirings. A semiring S is a distributive lattice of t-k-Archimedean semirings if and only if √B is a k-ideal, and S is a chain of t-k-Archimedean semirings if and only if √B is a completely prime k-ideal, for every k-bi-ideal B of S.
Divisible and Codivisible Modules.
Dominant Dimension of Double Centralizers.
Double Centralizers and Dominant Dimensions.
Dreiecks-Darstellung von Endomorphismenringen injektiver Moduln.
Dual modules and reflexive modules with respect to a semidualizing module
Let be a semidualizing module over a commutative ring. We first investigate the properties of -dual, -torsionless and -reflexive modules. Then we characterize some rings such as coherent rings, -coherent rings and FP-injectivity of using -dual, -torsionless and -reflexive properties of some special modules.
Dualità sul completamento naturale di un anello noetheriano
Dualities over compact rings
Duality and Completions of Linearly Topologized Modules.
Duality over Auslander-Gorenstein rings.
Duality properties of injective modules
Duality Theorem of Character Modules for Rings with Minimum Condition.
Dually slender modules and steady rings.
Dually steady rings
Duo, Bézout and distributive rings of skew power series.