On separable Abelian extensions of rings.
On separable extensions of group rings and quaternion rings.
On Separable Subalgebras of Azumaya Algebras
On several varieties of cacti and their relations.
On Signatures of Green Functors.
On simple distributively generated near-rings
On skew derivations as homomorphisms or anti-homomorphisms
Let be a prime ring with center and be a nonzero ideal of . In this manuscript, we investigate the action of skew derivation of which acts as a homomorphism or an anti-homomorphism on . Moreover, we provide an example for semiprime case.
On small injective, simple-injective and quasi-Frobenius rings.
On some additive mappings in rings with involution.
On some classes of modules
The aim of this paper is to investigate quasi-corational, comonoform, copolyform and -(co)atomic modules. It is proved that for an ordinal a right -module is -atomic if and only if it is -coatomic. And it is also shown that an -atomic module is quasi-projective if and only if is quasi-corationally complete. Some other results are developed.
On some commutativity theorems for finite rings and finite groups
On some equations related to derivations in rings.
On some formulas in the Hall algebra of the Kronecker algebra.
On some properties of -supplemented modules.
On some Radicals in Near-rings with a Defect of Distributivity
On some Results Related to Köthe's Conjecture
The Köthe conjecture states that if a ring R has no nonzero nil ideals then R has no nonzero nil one-sided ideals. Although for more than 70 years significant progress has been made, it is still open in general. In this paper we survey some results related to the Köthe conjecture as well as some equivalent problems.
On some weakly supernilpotent radicals of rings
On special Qr-filters of semigroups, semirings and rings.
On split-by-nilpotent extensions
Let A and R be two artin algebras such that R is a split extension of A by a nilpotent ideal. We prove that if R is quasi-tilted, or tame and tilted, then so is A. Moreover, generalizations of these properties, such as laura and shod, are also inherited. We also study the relationship between the tilting R-modules and the tilting A-modules.
On splitting of extensions of rings and topological rings.