A concrete analysis of the radical concept.
A non-semiprime associative algebra with zero weak radical.
The weak radical, W-Rad(A) of a non-associative algebra A, has been introduced by A. Rodríguez Palacios in [3] in order to generalize the Johnson's uniqueness of norm theorem to general complete normed non-associative algebras (see also [2] for another application of this notion). In [4], he showed that if A is a semiprime non-associative algebra with DCC on ideals, then W-Rad(A) = 0. In the first part of this paper we give an example of a non-semiprime associative algebra A with DCC on ideals and...
Corrigendum to: “A concrete analysis of the radical concept".
Hoehnke Radicals for Right Lie Algebras
Multiple radical theories
Nil radicals in nonassociative rings
n-лиевы алгебры.
On the Scole of a Noncommutative Jordan Algebra.
Pseudo-composition algebras.
Radicals which define factorization systems
A method due to Fay and Walls for associating a factorization system with a radical is examined for associative rings. It is shown that a factorization system results if and only if the radical is strict and supernilpotent. For groups and non-associative rings, no radical defines a factorization system.
Rational string topology
We use the computational power of rational homotopy theory to provide an explicit cochain model for the loop product and the string bracket of a simply connected closed manifold . We prove that the loop homology of is isomorphic to the Hochschild cohomology of the cochain algebra with coefficients in . Some explicit computations of the loop product and the string bracket are given.
The Levitzki Radical in Varieties of Algebras.
The nilpotency of near-rings
Абсолютные делители нуля и радикалы конечно-порожденных альтернативных алгебр
Инвариантность минимальных первичных идеалов неассоциативных колец при мультипликативных изоморфизмах
Некоторые радикалы алгебр Ли
О вербальных классах и следах многообразий. I
О компактных неассоциативных кольцах
О локально-нильпотентном радикале в некоторых классах правоальтернативных колец.
О наднильпотентных радикалах (-1,1)-колец.