Almost Split Sequences over p-adic Rings.
Almost-flat modules
We present general properties for almost-flat modules and we prove that a self-small right module is almost flat as a left module over its endomorphism ring if and only if the class of -static modules is closed under the kernels.
Amalgamating commutative regular rings
An axiomatic approach to homological dimension.
An elementary exact sequence of modules with an application to tiled orders
Let m ≥ 2 be an integer. By using m submodules of a given module, we construct a certain exact sequence, which is a well known short exact sequence when m = 2. As an application, we compute a minimal projective resolution of the Jacobson radical of a tiled order.
An example of two von Neumann regular rings with nonisomorphic Monta equivalent multiplicative semigroups.
An homotopy formula for the Hochschild cohomology
An infinite torus braid yields a categorified Jones-Wenzl projector
A sequence of Temperley-Lieb algebra elements corresponding to torus braids with growing twisting numbers converges to the Jones-Wenzl projector. We show that a sequence of categorification complexes of these braids also has a limit which may serve as a categorification of the Jones-Wenzl projector.
An infinite-dimensional torsion-free FP...group.
Anelli regolari separabilmente chiusi
Anneaux biréguliers auto-injectifs à droite
Anneaux réguliers auto-injectifs à droite
Anneaux semi-artiniens
Appendix to "On the double Poincaré series of the enveloping algebras of certain graded Lie algebras".
Artin-Schelter regular algebras of dimension five
We show that there are exactly three types of Hilbert series of Artin-Schelter regular algebras of dimension five with two generators. One of these cases (the most extreme) may not be realized by an enveloping algebra of a graded Lie algebra. This is a new phenomenon compared to lower dimensions, where all resolution types may be realized by such enveloping algebras.
Associative rings and the Whitehead property of modules [Abstract of thesis]
Autour de la cohomologie de MacLane des corps finis.
Axiomatic quantum field theory in terms of operator product expansions: general framework, and perturbation theory via Hochschild cohomology.
Bases of minimal elements of some partially ordered free abelian groups
In the present paper, we will show that the set of minimal elements of a full affine semigroup contains a free basis of the group generated by in . This will be applied to the study of the group for a semilocal ring .
Batalin-Vilkovisky algebra structures on Hochschild cohomology
Let be any compact simply-connected oriented -dimensional smooth manifold and let be any field. We show that the Gerstenhaber algebra structure on the Hochschild cohomology on the singular cochains of , , extends to a Batalin-Vilkovisky algebra. Such Batalin-Vilkovisky algebra was conjectured to exist and is expected to be isomorphic to the Batalin-Vilkovisky algebra on the free loop space homology on , introduced by Chas and Sullivan. We also show that the negative cyclic cohomology ...