X. A module M is said to satisfy the finite internal exchange property if, for any direct
summand X of M and any finite direct sum decomposition M=⊕^ ni= 1 Mi, there exists M´ i⊆ …

The thesis consists of three chapters. In Chapter One, we study Zariski-like topologies on a
proper class X [Special characters omitted] L of a complete lattice L=(L, Λ, V, 0, 1). We …

We provide a negative answer to a question raised by Jain and Alahmadi asking for a
possible" Baer-like" criterion for almost injective modules. It is shown that there exists an R …

In this paper, we study rings with the property that every cyclic module is almost-injective
(CAI). It is shown that R is an Artinian serial ring with J (R) 2= 0 if and only if R is a right CAI …

A module M is said to be lifting, if it satisfies the following lifting property: For any submodule
X of M, there exists a direct summand of M which is a co-essential submodule of X in M. This …

We have given some characterizations of right Nakayama rings related to almost relative
projectives or almost relative injectives [12]. In this paper we shall study particularly the …

Защита состоитсÿ «27 июнÿ» 2019 г. в 16 часов 00 минут на заседании
диссертационного совета Д 212.081. 35 на базе ФГАОУ ВО «Казанский (Приволжский) …

For any two modules M and N over a ring R, the concept of M being almost N-injective was
introduced by Baba in 1989. A module M is said to be completely almost self-injective, if for …

M. Harada defined an almost projective module in [8] and showed that semisimple rings,
serial rings, QF-rings and H-rings are well-characterized by the property of an almost …

In [6] an almost N-projective module is defined as a generalization of a N-projective module
to characterize the lifting property. This module is further studied in the succeeding papers …