On commutativity of one-sided -unital rings.
On commutativity of P.I. rings.
On commutativity of P.I. rings. (Short Communication).
On commutativity of rings with constraints on subsets
On commutativity theorems for rings.
On commuting generalized inverses of matrices and in associative rings.
On -commuting graph of matrix algebra.
On complements and the factorization problem of Hopf algebras
Two new results concerning complements in a semisimple Hopf algebra are proved. They extend some well-known results from group theory. The uniqueness of a Krull-Schmidt-Remak type decomposition is proved for semisimple completely reducible Hopf algebras.
On completely 0-simple semigroups.
On components of the Auslander-Reiten quiver of trivial extensions of 2-fundamental algebras which contain projective modules
Trivial extensions of a certain subclass of minimal 2-fundamental algebras are examined. For such algebras the characterization of components of the Auslander-Reiten quiver which contain indecomposable projective modules is given.
On computation of minimal free resolutions over solvable polynomial algebras
Let be a (noncommutative) solvable polynomial algebra over a field in the sense of A. Kandri-Rody and V. Weispfenning [Non-commutative Gröbner bases in algebras of solvable type, J. Symbolic Comput. 9 (1990), 1–26]. This paper presents a comprehensive study on the computation of minimal free resolutions of modules over in the following two cases: (1) is an -graded algebra with the degree-0 homogeneous part ; (2) is an -filtered algebra with the filtration determined by a positive-degree...
On corepresentations of equipped posets and their differentiation.
On corings and comodules
It is shown that the categories of -coalgebras for a commutative unital ring and the category of -corings for some -algebra as well as their respective categories of comodules are locally presentable.
On countable von Neumann regular rings
On cyclic vertices in valued translation quivers
Let x and y be two vertices lying on an oriented cycle in a connected valued translation quiver (Γ,τ,δ). We prove that, under certain conditions, x and y belong to the same cyclic component of (Γ,τ,δ) if and only if there is an oriented cycle in (Γ,τ,δ) passing through x and y.
On decompositions of d. g. seminear-rings.
On dependent elements in rings.
On derivations and commutativity in prime rings.
On derivations over rings of triangular matrices
On derived equivalence classification of gentle two-cycle algebras
We classify, up to derived (equivalently, tilting-cotilting) equivalence, all nondegenerate gentle two-cycle algebras. We also give a partial classification and formulate a conjecture in the degenerate case.