On some equations related to derivations in rings.
On splitting of extensions of rings and topological rings.
On Splitting Rings for Azumaya Skew Group Rings
On strong commutativity-preserving maps.
On subdirect decomposition and varieties of some rings with involution. II.
On subdirect decomposition and varieties of some rings with involution.
On the additive structure of a class of ordered semirings.
On the associative Nijenhuis relation.
On the category of commutative connected graded Hopf algebras over a perfect field
On the center of a left Jordan groupoid
On the characterization of certain additive maps in prime -rings
Let be a noncommutative prime ring equipped with an involution ‘’, and let be the maximal symmetric ring of quotients of . Consider the additive maps and . We prove the following under some inevitable torsion restrictions. (a) If and are fixed positive integers such that for all and for all , then . (b) If for all , then . Furthermore, we characterize Jordan left -centralizers in semiprime rings admitting an anti-automorphism . As applications, we find the structure of...
On the classification of 3-dimensional coloured Lie algebras
In this paper, complex 3-dimensional Γ-graded ε-skew-symmetric and complex 3-dimensional Γ-graded ε-Lie algebras with either 1-dimensional or zero homogeneous components are classified up to isomorphism.
On the Embedding of topological domains into quotient fields.
On the fragmental structures.
On the generalized hypercentralizer of a Lie ideal in a prime ring
On the Jacobson radical of graded rings.
On the Jacobson radical of graded rings
All commutative semigroups are described such that the Jacobson radical is homogeneous in each ring graded by .
On the Jacobson radical of strongly group graded rings
For any non-torsion group with identity , we construct a strongly -graded ring such that the Jacobson radical is locally nilpotent, but is not locally nilpotent. This answers a question posed by Puczyłowski.
On the maximal condition in formal power series rings
On the object-wise tensor product of functors to modules.