AbstractLet R be a ring, and let S be the injective hull of the right regular module RR. Suppose that S can be made into a ring with multiplication compatible with that of R. Osofsky, in 1964, asked if SS is necessarily injective. We construct examples giving a negative answer to this question, and even construct an infinite chain of such rings
A poor module is one that is injective relative only to semisimple modules and a module is maximally...
A poor module is one that is injective relative only to semisimple modules and a module is maximally...
AbstractGiven any injective module IR, its bicommutator S contains as a subring the ring Q of quotie...
Dlab V, Ringel CM. A construction of rings whose injective hulls allow a ring structure. The journal...
We characterize a ring over which every left module of finite length has an injective hull of finite...
In a recent paper, Aydogdu and Lopez-Permouth have defined a module M. to be N-subinjective if every...
International audienceIt is shown that a ring is left semihereditary if and only each homomorphic im...
Rosenberg and Zelinsky [10] studied rings over which every module of finite length has an injective ...
In this paper certain injectivity conditions in terms of extensions of monomorphisms are considered....
It is proved, among other results, that a prime right nonsingular ring (in particular, a simple ring...
It is proved, among other results, that a prime right nonsingular ring (in particular, a simple ring...
In this paper certain injectivity conditions in terms of extensions of monomorphisms are considered....
AbstractIt is well known from Osofsky’s work that the injective hull E(RR) of a ring R need not have...
In this paper certain injectivity conditions in terms of extensions of monomorphisms are considered....
AbstractIf R̂ is the pure-injective hull of a valuation ring R, it is proved that R̂⊗RM is the pure-...
A poor module is one that is injective relative only to semisimple modules and a module is maximally...
A poor module is one that is injective relative only to semisimple modules and a module is maximally...
AbstractGiven any injective module IR, its bicommutator S contains as a subring the ring Q of quotie...
Dlab V, Ringel CM. A construction of rings whose injective hulls allow a ring structure. The journal...
We characterize a ring over which every left module of finite length has an injective hull of finite...
In a recent paper, Aydogdu and Lopez-Permouth have defined a module M. to be N-subinjective if every...
International audienceIt is shown that a ring is left semihereditary if and only each homomorphic im...
Rosenberg and Zelinsky [10] studied rings over which every module of finite length has an injective ...
In this paper certain injectivity conditions in terms of extensions of monomorphisms are considered....
It is proved, among other results, that a prime right nonsingular ring (in particular, a simple ring...
It is proved, among other results, that a prime right nonsingular ring (in particular, a simple ring...
In this paper certain injectivity conditions in terms of extensions of monomorphisms are considered....
AbstractIt is well known from Osofsky’s work that the injective hull E(RR) of a ring R need not have...
In this paper certain injectivity conditions in terms of extensions of monomorphisms are considered....
AbstractIf R̂ is the pure-injective hull of a valuation ring R, it is proved that R̂⊗RM is the pure-...
A poor module is one that is injective relative only to semisimple modules and a module is maximally...
A poor module is one that is injective relative only to semisimple modules and a module is maximally...
AbstractGiven any injective module IR, its bicommutator S contains as a subring the ring Q of quotie...
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