The Lenstra map on classifying spaces and G-theory of group rings.
The level of cyclic division algebras.
The Levitzki Radical for Omega-groups
The Levitzki radical for -groups.
The Lie structure of C* and Poisson algebras
The Local Duality for Homomorphisms and an Application to Pure Semisimple PI-Rings
The lower central series of the free partially commutative group.
The Maslov dequantization, idempotent and tropical mathematics: a brief introduction.
The maximal quotient rings of regular group rings (III).
We give a new proof of the main result of [1] which does not use the classification of the finite simple groups.
The Maximal Ring of Quotients of a Triangular Matrix Ring.
The modular representation theory of q-Schur algebras. II.
The multiplicity problem for indecomposable decompositions of modules over domestic canonical algebras
Given a module M over a domestic canonical algebra Λ and a classifying set X for the indecomposable Λ-modules, the problem of determining the vector such that is studied. A precise formula for , for any postprojective indecomposable module X, is computed in Theorem 2.3, and interrelations between various structures on the set of all postprojective roots are described in Theorem 2.4. It is proved in Theorem 2.2 that a general method of finding vectors m(M) presented by the authors in Colloq....
The multiplicity problem for indecomposable decompositions of modules over a finite-dimensional algebra. Algorithms and a computer algebra approach
Given a module M over an algebra Λ and a complete set of pairwise nonisomorphic indecomposable Λ-modules, the problem of determining the vector such that is studied. A general method of finding the vectors m(M) is presented (Corollary 2.1, Theorem 2.2 and Corollary 2.3). It is discussed and applied in practice for two classes of algebras: string algebras of finite representation type and hereditary algebras of type . In the second case detailed algorithms are given (Algorithms 4.5 and 5.5).
The multipliers of similitudes and the Brauer group of homogeneous varieties.
The multisegment duality and the preprojective algebras of type .
The near-ring of Lipschitz functions on a metric space.
The Near-rings on Groups of Low Order.
The nil radical of an Archimedean partially ordered ring with positive squares
Let be an Archimedean partially ordered ring in which the square of every element is positive, and the set of all nilpotent elements of . It is shown that is the unique nil radical of , and that is locally nilpotent and even nilpotent with exponent at most when is 2-torsion-free. is without non-zero nilpotents if and only if it is 2-torsion-free and has zero annihilator. The results are applied on partially ordered rings in which every element is expressed as with positive ,...
The nil-degree of a torsion-free Abelian group
The nilpotency of left noetherian radical rings