Necklace rings and their radicals.
Neue Charakterisierungen von Artinschen Moduln und hereditären Ringen
New asymptotic formulas for the distribution of left ideals of orders.
New characterizations of von Neumann regular rings and a conjecture of Shamsuddin.
A theorem of Utumi states that if R is a right self-injective ring such that every maximal ideal has nonzero annihilator, then R modulo the Jacobson radical J is a finite product of simple rings and is a von Neuman regular ring. We prove two theorems and a conjecture of Shamsuddin that characterize when R itself is a von Neumann ring, using a splitting theorem of the author on when the maximal regular ideal of a ring splits off.
New solutions for Yang-Baxter systems.
NF-кольца
Nicely semiramified division algebras over Henselian fields.
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