Results 191 to 200 of about 1,530 (213)
Some of the next articles are maybe not open access.
Nilpotent Elements and Skew Polynomial Rings
Algebra Colloquium, 2012We study the structure of the set of nilpotent elements in extended semicommutative rings and introduce nil α-semicommutative rings as a generalization. We resolve the structure of nil α-semicommutative rings and obtain various necessary or sufficient conditions for a ring to be nil α-semicommutative, unifying and generalizing a number of known ...
Alhevaz, A., Moussavi, A., Hashemi, E.
openaire +1 more source
Generalization of Nilpotency of Ring Elements to Module Elements
Communications in Algebra, 2013We define nilpotent and strongly nilpotent elements of a module M and show that the set 𝒩 s (M) of all strongly nilpotent elements of M over a commutative unital ring R coincides with the classical prime radical β cl (M) the intersection of all classical prime submodules of M.
David Ssevviiri, Nico Groenewald
openaire +1 more source
AN EXAMPLE OF A CHAIN PRIME RING WITH NILPOTENT ELEMENTS
Mathematics of the USSR-Sbornik, 1984Translation from Mat. Sb., Nov. Ser. 120(162), No.3, 441-447 (Russian) (1983; Zbl 0517.16002).
openaire +2 more sources
Normal forms of nilpotent elements in semisimple Lie algebras
Indagationes Mathematicae, 2021Mamuka Jibladze
exaly
Adjunction of Elements To Nilpotent Groups
Journal of the London Mathematical Society, 1963openaire +2 more sources
Ad-Nilpotent Elements of Skew Index in Semiprime Rings with Involution
Bulletin of the Malaysian Mathematical Sciences Society, 2021JOSÉ Brox +2 more
exaly
The Idempotent and Nilpotent Elements of a Matrix
American Journal of Mathematics, 1936openaire +2 more sources
Invertible and Nilpotent Elements in the Group Algebra of a Unique Product Group
Acta Applicandae Mathematicae, 2008Erhard Neher, Neher Erhard
exaly