Divisible subgroups of Brauer groups and trace forms of central simple algebras.
Division algebras that ramify only along a singular plane cubic curve.
Division dans l'anneau des séries formelles à croissance contrôlée. Applications
We consider subrings A of the ring of formal power series. They are defined by growth conditions on coefficients such as, for instance, Gevrey conditions. We prove a Weierstrass-Hironaka division theorem for such subrings. Moreover, given an ideal ℐ of A and a series f in A we prove the existence in A of a unique remainder r modulo ℐ. As a consequence, we get a new proof of the noetherianity of A.
Division Rings and Group von Neumann Algebras.
Division Semirings with 1 + 1 = 1 .
Domains with linear growth.
Domestic iterated one-point extensions of algebras by two-ray modules
In the paper, we introduce a wide class of domestic finite dimensional algebras over an algebraically closed field which are obtained from the hereditary algebras of Euclidean type , n≥1, by iterated one-point extensions by two-ray modules. We prove that these algebras are domestic and their Auslander-Reiten quivers admit infinitely many nonperiodic connected components with infinitely many orbits with respect to the action of the Auslander-Reiten translation. Moreover, we exhibit a wide class of...
Dominant Dimension of Double Centralizers.
Double Centralizers and Dominant Dimensions.
Dreiecks-Darstellung von Endomorphismenringen injektiver Moduln.
Drinfeld doubles via derived Hall algebras and Bridgeland's Hall algebras
Let be a finitary hereditary abelian category. We give a Hall algebra presentation of Kashaev’s theorem on the relation between Drinfeld double and Heisenberg double. As applications, we obtain realizations of the Drinfeld double Hall algebra of via its derived Hall algebra and Bridgeland’s Hall algebra of -cyclic complexes.
Dual coalgebras of Jordan bialgebras and superalgebras.
Dual dimension of modules over normalizing extensions.
Let S = Σi=1n Rai be a finite normalizing extension of R and suppose that SM is a left S-module. Denote by crk(A) the dual Goldie dimension of the module A. We show that crk(RM) ≤ n · crk(SM) if either SM is artinian or the group homomorphism M → aiM given by x → aix is an isomorphism.
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 in G-algebras.
Duality over Auslander-Gorenstein rings.
Duality properties of injective modules