Varieties and sums of rings.
VNR rings, -regular rings and annihilators
Von Neumann regular rings, hereditary rings, semi-simple Artinian rings, self-injective regular rings are characterized. Rings which are either strongly regular or semi-simple Artinian are considered. Annihilator ideals and -regular rings are studied. Properties of WGP-injectivity are developed.
Weak inertial coefficient rings
When does an AB5* module have finite hollow dimension?
Using a lattice-theoretical approach we find characterizations of modules with finite uniform dimension and of modules with finite hollow dimension.
Wild Hereditary Artin Algebras and Linear Methods.
Zero sets of polynomials in finite rings.
Zeros of polynomials with coefficients in the center of a division algebra.
Zur Existenz von Involutionen auf einfachen Algebren II.
Zur Kombinatorik der Algebren mit endlich vielen Idealen.
-small submodules and -supplemented modules.
-generated uniserial modules over chain rings
The purpose of this paper is to provide a criterion of an occurrence of uncountably generated uniserial modules over chain rings. As we show it suffices to investigate two extreme cases, nearly simple chain rings, i.e. chain rings containing only three two-sided ideals, and chain rings with “many” two-sided ideals. We prove that there exists an -generated uniserial module over every non-artinian nearly simple chain ring and over chain rings containing an uncountable strictly increasing (resp. decreasing)...
Алгебраические расширения колец и кольца частных
Алгебры, все подалгебры которых PI-алгебры.
Алгебры и полугруппы с квадратичными функциями роста
Аннуляторные кручения. I
Аннуляторные кручения. II
Апериодические последовательности и функции роста алгебр
Ассоциативные алгебры с одним соотношением энгелева типа.
Гензелевы нормирования тел и группа
Два замечания о локализации Голди