On dependent elements in rings.
On Flatness and Projectivity of a Ring as a Module over a Fixed Subring.
On Free Quadratic Extensions of Rings.
On free ring extensions of degree n.
On Galois descent for Hochschild and cyclic homology.
On Galois projective group rings.
On Galois skew polynomial rings with inner Galois groups
On generalization of injectivity
Characterizations of quasi-continuous modules and continuous modules are given. A non-trivial generalization of injectivity (distinct from -injectivity) is considered.
On generalized quaternion algebras.
On -separable and Galois extensions of rings.
On injective -modules.
On Jordan ideals and left -derivations in prime rings.
On lifting of idempotents and semiregular endomorphism rings
Starting with some observations on (strong) lifting of idempotents, we characterize a module whose endomorphism ring is semiregular with respect to the ideal of endomorphisms with small image. This is the dual of Yamagata's work [Colloq. Math. 113 (2008)] on a module whose endomorphism ring is semiregular with respect to the ideal of endomorphisms with large kernel.
On locally nilpotent endomorphisms of Gorenstein injective modules.
On rings whose centers are Galois extensions
On separable Abelian extensions of rings.
On Separable Subalgebras of Azumaya Algebras
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.