A semiperfect one-sided injective ring: Communications in Algebra: Vol 12, No 16 Skip to Main
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We study the class of almost uniserial rings as a straightforward common generalization of
left uniserial rings and left principal ideal domains. A ring R is called almost left uniserial if …

Let R be a ring. A left R-module M (resp. right R-module N) is called singly injective (resp.
singly flat) if Ext1 (F/C, M)= 0 (resp. Tor1 (N, F/C)= 0) for any cyclic submodule C of any …

Let R be a ring. The following results are proven. 1. If R is semilocal, right Kasch and right
simple-injective, then R is semiperfect, left and right finitely cogenerated. 2. If R is left perfect …

Let RP be a projective R-module which is not finitely generated. Let E= End R (P). This
paper examines the structure of P as an E-module and relations between right ideals of R …

Let R be a bounded Noetherian Prime ring. The Asano-Michler theorem shows that R is a
bounded Dedekind ring if every prime ideal of R is invertible. We provide a simple proof of …

A module M is called a CS-module if every submodule of M is essential in a direct summand
of M. It is shown that a ring R is semilocal if and only if every semiprimitive right R-module is …

Finitely Presented Modules over Right Non-Singular Rings. Page 1 REND. SEM. MAT. UNIV.
PADOVA, Vol. 120 2008) Finitely Presented Modules over Right Non-Singular Rings. ULRICH …

We characterize right Noetherian rings over which all simple modules are almost injective. It
is proved that R is such a ring, if and only if, the complements of semisimple submodules of …

A ring is quasi-Frobenius if and only if every injective right R-module is projective. Thus, the
ring has the property that each right-module embeds in a free module if and only if the ring is …