Combinatorial aspects of polylogarithms and Euler-Zagier sums. (Aspects combinatoires des polylogarithmes et des sommes d'Euler-Zagier.)
Combinatorics of the free Baxter algebra.
Commutativity conditions on derivations and Lie ideals in -prime rings.
Commutativity of *-prime rings with generalized derivations
Commutativity of prime -near rings with --derivation.
Commutativity results for semiprime rings with derivations.
Commutativity theorems for rings with differential identities on Jordan ideals
In this paper we investigate commutativity of ring with involution which admits a derivation satisfying certain algebraic identities on Jordan ideals of . Some related results for prime rings are also discussed. Finally, we provide examples to show that various restrictions imposed in the hypotheses of our theorems are not superfluous.
Compact Rings.
Compatible ideals and radicals of Ore extensions.
Completions of Regular Rings.
Componentwise injective models of functors to DGAs
The aim of this paper is to present a starting point for proving existence of injective minimal models (cf. [8]) for some systems of complete differential graded algebras.
Constructing invariants for finite groups.
Continuity of characters in products of algebras
Continuity of ring -homomorphisms between -algebras.
Control subgroups and birational extensions of graded rings.
Criteria for shellable multicomplexes.
Cyclic extensions and crossed-products
Decomposition of Mal'cev-Neumann division algebras with involution.
Deformations of Lie brackets: cohomological aspects
We introduce a new cohomology for Lie algebroids, and prove that it provides a differential graded Lie algebra which “controls” deformations of the structure bracket of the algebroid.
Degree estimate for subalgebras generated by two elements
We develop a new combinatorial method to deal with a degree estimate for subalgebras generated by two elements in different environments. We obtain a lower bound for the degree of the elements in two-generated subalgebras of a free associative algebra over a field of zero characteristic. We also reproduce a somewhat refined degree estimate of Shestakov and Umirbaev for the polynomial algebra, which plays an essential role in the recent celebrated solution of the Nagata conjecture and the strong...