Rad-supplemented modules
Reduction Theorems for Endomorphism Near-Rings.
Relative injectivity and CS-modules.
Remarks on Sekine quantum groups
We first describe the Sekine quantum groups (the finite-dimensional Kac algebra of Kac-Paljutkin type) by generators and relations explicitly, which maybe convenient for further study. Then we classify all irreducible representations of and describe their representation rings . Finally, we compute the the Frobenius-Perron dimension of the Casimir element and the Casimir number of .
Remarque sur les sommes directes des modules de type dénombrable
Representation-finite algebras and multiplicative bases.
Right Symbolic Powers and Classical Localization in Right Noetherian Rings.
Ringe mit nichtkommutativer Addition I.
Ringe mit verallgemeinerter Kupischreihe.
Rings decomposed into direct sums of J-rings and nil rings.
Rings in which every proper right ideal is maximal
Rings which are semilattices of archimedean semigroups.
Rings whose modules are finitely generated over their endomorphism rings
A module M is called finendo (cofinendo) if M is finitely generated (respectively, finitely cogenerated) over its endomorphism ring. It is proved that if R is any hereditary ring, then the following conditions are equivalent: (a) Every right R-module is finendo; (b) Every left R-module is cofinendo; (c) R is left pure semisimple and every finitely generated indecomposable left R-module is cofinendo; (d) R is left pure semisimple and every finitely generated indecomposable left R-module is finendo;...
Rings whose modules have maximal submodules.
A ring R is a right max ring if every right module M ≠ 0 has at least one maximal submodule. It suffices to check for maximal submodules of a single module and its submodules in order to test for a max ring; namely, any cogenerating module E of mod-R; also it suffices to check the submodules of the injective hull E(V) of each simple module V (Theorem 1). Another test is transfinite nilpotence of the radical of E in the sense that radα E = 0; equivalently, there is an ordinal α such that radα(E(V))...
Rings with a certain condition on subsemigroups.
Rings with a finite set of nonnilpotents.
Rings with indecomposable modules local.
Rings with many idempotents.
Rings with the Minimum Condition for Principal Right Ideals Have the Maximum Condition for Principal Left Ideals.
Rings without Nilpotent Elements