On a problem of commutativity of automorphisms.
On -radicals
On a refinement in the classification of the nil rings
On a separation of orbits in the module variety for domestic canonical algebras
Given a pair M,M' of finite-dimensional modules over a domestic canonical algebra Λ, we give a fully verifiable criterion, in terms of a finite set of simple linear algebra invariants, deciding if M and M' lie in the same orbit in the module variety, or equivalently, if M and M' are isomorphic.
On a simplicial complex associated with tilting modules.
On a subset with nilpotent values in a prime ring with derivation
Let be a prime ring, with no non-zero nil right ideal, a non-zero drivation of , a non-zero two-sided ideal of . If, for any , , there exists such that , then is commutative. As a consequence we extend the result to Lie ideals.
On a Substitution Property of Modules.
On a theorem of J. Vukman.
On a theorem of McCoy
We study McCoy’s theorem to the skew Hurwitz series ring for some different classes of rings such as: semiprime rings, APP rings and skew Hurwitz serieswise quasi-Armendariz rings. Moreover, we establish an equivalence relationship between a right zip ring and its skew Hurwitz series ring in case when a ring satisfies McCoy’s theorem of skew Hurwitz series.
On a theorem of P. E. Schupp. (Sur un théorème de P. E. Schupp.)
On a variant of quasi-injectivity via kernel functors
On abelian separable extensions and Galois sets of rings
On additive functions for stable translation quivers
The aim of this note is to give a complete description of the positive additive functions for the stable nonperiodic translation quivers with finitely many orbits. In particular, we show that all positive additive functions on the stable translation quivers of Euclidean type (respectively, of wild type) are periodic, and hence bounded (respectively, are unbounded, and hence nonperiodic).
On algebraic closures.
This is a description of some different approaches which have been taken to the problem of generalizing the algebraic closure of a field. Work surveyed is by Enoch and Hochster (commutative algebra), Raphael (categories and rings of quotients), Borho (the polynomial approach), and Carson (logic).Later work and applications are given.
On Algebraic Power-Associative and Jordan Algebras with Semi-Normal Functionals.
On algebraically compact semigroup rings.
On algebras of generalized Latin squares
The main result of this paper is the introduction of a notion of a generalized -Latin square, which includes as a special case the standard Latin square, as well as the magic square, and also the double stochastic matrix. Further, the algebra of all generalized Latin squares over a commutative ring with identity is investigated. Moreover, some remarkable examples are added.
On algebras of strongly unbounded representation type.
On anticommutative semirings.
On Anti-inverse Rings