A Class of Balanced Non-Uniserial Rings.
A Krull-Schmidt theorem for Artinian modules over local rings.
A noncommutative generalization of Auslander's last theorem.
A note on -cofinitely supplemented modules.
A note on functors that vanish on indecomposable modules.
A note on perfect rings.
A note on semilocal group rings
Let be an associative ring with identity and let denote the Jacobson radical of . is said to be semilocal if is Artinian. In this paper we give necessary and sufficient conditions for the group ring , where is an abelian group, to be semilocal.
A remark on power series rings.
A trivializability principle for local rings is described which leads to a form of weak algorithm for local semifirs with a finitely generated maximal ideal whose powers meet in zero.
A Remark on Quadratic Spaces over Noncommutative Semilocal Rings.
A representation theorem for Chain rings
A ring A is called a chain ring if it is a local, both sided artinian, principal ideal ring. Let R be a commutative chain ring. Let A be a faithful R-algebra which is a chain ring such that Ā = A/J(A) is a separable field extension of R̅ = R/J(R). It follows from a recent result by Alkhamees and Singh that A has a commutative R-subalgebra R₀ which is a chain ring such that A = R₀ + J(A) and R₀ ∩ J(A) = J(R₀) = J(R)R₀. The structure of A in terms of a skew polynomial ring over R₀ is determined.
A structure theorem for right invariant right holoids.
Addendum to "Rings whose modules have maximal submodules".
Addendum to the author's article "Rings whose modules have maximal submodules", which appeared in Publicacions Matemàtiques 39, 1 (1995), 201-214.
Almost approximately convex functions
Applications of epigroups to graded ring theory.
Assoziative Tripelsysteme.
Automorphism liftable modules
We introduce the notion of an automorphism liftable module and give a characterization to it. We prove that category equivalence preserves automorphism liftable. Furthermore, we characterize semisimple rings, perfect rings, hereditary rings and quasi-Frobenius rings by properties of automorphism liftable modules. Also, we study automorphism liftable modules with summand sum property (SSP) and summand intersection property (SIP).
Characterizations of semiperfect and perfect rings.
We characterize semiperfect modules, semiperfect rings, and perfect rings using locally projective covers and generalized locally projective covers, where locally projective modules were introduced by Zimmermann-Huisgen and generalized locally projective covers are adapted from Azumaya’s generalized projective covers.
Coefficient subrings of certain local rings with prime-power characteristic.
Cofinitely semiperfect modules.
Decomposition of Modules over Right Uniserial Rings.