A ring A is a completely integrally closed right A-module if and only if the maximal right ring
of quotients Q max (A) of A is an injective right A-module and A is a right completely …

COMPLETELY INTEGRALLY CLOSED MODULES AND RINGS. II AA Tuganbaev UDC 512.55
Page 1 Journal of Mathematical Sciences, Vol. 177, No. 6, September, 2011 COMPLETELY …

Essential Extensions of a Direct Sum of Simple Modules-II Page 1 Modules and Comodules
Trends in Mathematics, 243–246 c© 2008 Birkhäuser Verlag Basel/Switzerland Essential …

Let R be a ring and be a class of right R-modules which is closed under submodules,
quotients and isomorphisms. A right R-module M is called-injective if for every T. A ring R is …

We introduce the class of “right almost V-rings” which is properly between the classes of
right V-rings and right good rings. A ring R is called a right almost V-ring if every simple R …

Right ue-rings (rings with the property of the title, ie, with the maximality of the right socle)
are investigated. It is shown that a semiprime ring R is a right ue-ring if and only if R is a …

IN the introduction to [4] Faith asserts that" a'good'theory of modules is one which
generalizes the basis theorem for Abelian groups". Let A be a finitely generated Abelian …

A unitary left R-module M over a left noetherian ring R with identity is called admissible if
every prime ideal of R, which is the left annihilator of all nonzero submodules of a …

It is known that every essential extension of a direct sum of injective hulls of simple R-
modules is a direct sum of injective R-modules if and only if the ring R is right noetherian …

The notion of a U-module was introduced and thoroughly investigated in as a strict and
simultaneous generalization of quasi-continuous, square-free and automorphism-invariant …