Nil radicals in nonassociative rings
Nil right ideals in inverse semigroup algebras.
Nil-clean and unit-regular elements in certain subrings of
An element in a ring is clean (or, unit-regular) if it is the sum (or, the product) of an idempotent and a unit, and is nil-clean if it is the sum of an idempotent and a nilpotent. Firstly, we show that Jacobson’s lemma does not hold for nil-clean elements in a ring, answering a question posed by Koşan, Wang and Zhou (2016). Secondly, we present new counter-examples to Diesl’s question whether a nil-clean element is clean in a ring. Lastly, we give new examples of unit-regular elements that are...
Nil-extensions of completely simple semirings
A semiring S is said to be a quasi completely regular semiring if for any a ∈ S there exists a positive integer n such that na is completely regular. The present paper is devoted to the study of completely Archimedean semirings. We show that a semiring S is a completely Archimedean semiring if and only if it is a nil-extension of a completely simple semiring. This result extends the crucial structure theorem of completely Archimedean semigroup.
Nilpotence, radicaux et structures monoïdales
Nilpotent blocks and their source algebras.
Nilpotent Elements in Group Rings.
No associative PI-algebra coincides with its commutant.
Noetherian Banach Algebras are Finite Dimensional.
Nombre de valeurs propres d'un opérateur elliptique et polynôme de Hilbert-Samuel
Non commutative Krull domains.
Non unimodular Hermitian forms.
Non-abelian cohomology of associative algebras. The -term exact sequence
Noncommutative algebraic geometry.
The need for a noncommutative algebraic geometry is apparent in classical invariant and moduli theory. It is, in general, impossible to find commuting parameters parametrizing all orbits of a Lie group acting on a scheme. When one orbit is contained in the closure of another, the orbit space cannot, in a natural way, be given a scheme structure. In this paper we shall show that one may overcome these difficulties by introducing a noncommutative algebraic geometry, where affine schemes are modeled...
Noncommutative algebraic geometry: From pi-algebras to quantum groups.
Noncommutative analogs of symmetric polynomials
Noncommutative compact manifolds constructed from quivers.
Noncommutative deformations of modules.
Noncommutative graded domains with quadratic.
Noncommutative Hodge-to-de Rham spectral sequence and the Heegaard Floer homology of double covers
Let be a dg algebra over and let be a dg -bimodule. We show that under certain technical hypotheses on , a noncommutative analog of the Hodge-to-de Rham spectral sequence starts at the Hochschild homology of the derived tensor product and converges to the Hochschild homology of . We apply this result to bordered Heegaard Floer theory, giving spectral sequences associated to Heegaard Floer homology groups of certain branched and unbranched double covers.