JORDANLEFTDERIVATIONSINFULLANDUPPERTRIANGULARMATRIXRINGS ELA

It has been seen in [1, 5] that weak incidence algebras can be used to construct rings whose left and right maximal rings of quotients need not be isomorphic.. Here we give some

Some known results about linearly recursive sequences over base fields are generalized to linearly (bi)recursive (bi)sequences of modules over arbitrary com- mutative ground rings..

Also, several relations among McCoyness, Nagata extensions and Armendariz rings and modules are studied. Keywords: Armendariz rings; McCoy rings; Nagata extension;

In this section, we define a new generalization of right (resp. left), s-weakly regular rings, which is called right(resp. left) gs-weakly regular rings and we find

As an analytic analogue of Posner’s second theorem, Mathieu and Runde [5, Theorem 1] generalized the Singer-Wermer conjecture by proving that every centralizing derivation on a

In the second part, Bresar and Vukman [3] give some results concerning two derivations in semiprime rings We will generalize some of these results by taking an ideal of R instead of

Using properties of slender abelian groups and a version of slenderness for rings, we get some examples of radical classes of associative rings which are closed under

Theorem 1.9. Then every finitely generated proper right ideal of A has a non- zero left annihilator as in Proposition 1.8. MELT) if every essential left ideal (resp. maximal