A note on block triangular presentations of rings and finitistic dimension
A note on generalized Gorenstein dimension.
A note on Hacque's cohomology of rings-groups and extensions of rings-groups by groups.
A note on hereditary rings or non-singular rings with chain condition.
A note on orthodox additive inverse semirings
We show in an additive inverse regular semiring with as the set of all multiplicative idempotents and as the set of all additive idempotents, the following conditions are equivalent: (i) For all , implies . (ii) is orthodox. (iii) is a semilattice of groups. This result generalizes the corresponding result of regular ring.
A note on P-spaces.
A note on quasitilted algebras
We provide a characterization of artin algebras without chains of nonzero homomorphisms between indecomposable finitely generated modules starting with an injective module and ending with a projective module.
A note on regular rings with stable range one.
A Note on Semi-prime Rings.
A note on tilting sequences
We discuss the existence of tilting modules which are direct limits of finitely generated tilting modules over tilted algebras.
A property for locally convex *-algebras related to property (T) and character amenability
For a locally convex *-algebra A equipped with a fixed continuous *-character ε (which is roughly speaking a generalized F*-algebra), we define a cohomological property, called property (FH), which is similar to character amenability. Let be the space of continuous functions with compact support on a second countable locally compact group G equipped with the convolution *-algebra structure and a certain inductive topology. We show that has property (FH) if and only if G has property (T). On...
A property of the degree filtration of polynomial functors.
A radical between Jacobson and Brown-McCoy radicals
A remark on -torsion-free modules
A remark on power series rings.
A trivializability principle for local rings is described which leads to a form of weak algorithm for local semifirs with a finitely generated maximal ideal whose powers meet in zero.
A Remark on Projective Dimension of Fiat Modules.
A remark on projectively closed purities
A remark on regular right duo semigroups
A Riemann-Roch theorem for dg algebras
Given a smooth proper dg algebra , a perfect dg -module and an endomorphism of , we define the Hochschild class of the pair with values in the Hochschild homology of the algebra . Our main result is a Riemann-Roch type formula involving the convolution of two such Hochschild classes.
A Riemann-Roch-Hirzebruch formula for traces of differential operators
Let be a holomorphic differential operator acting on sections of a holomorphic vector bundle on an -dimensional compact complex manifold. We prove a formula, conjectured by Feigin and Shoikhet, giving the Lefschetz number of as the integral over the manifold of a differential form. The class of this differential form is obtained via formal differential geometry from the canonical generator of the Hochschild cohomology of the algebra of differential operators on a formal neighbourhood of a...