Let R be a ring with identity and M be an R-module with unity. In this paper we introduce the
notion of C-coretractable modules. Some basic properties of this class of modules are …

Let $ R $ be a commutative ring with identity and $ M $ be a unitary $ R $-module. A
submodule $ N $ of $ M $ is called a dense submodule if ${\rm {Hom}} _R (M/N, E_R (M)) …

In this paper, we introduce two new notions related with coretrectable modules which are
called essentially coretrectable and weakly essentially coretrectable modules. Some basic …

In this paper, we study retractable modules and coretractable modules over a formal
triangular matrix ring T=\left T= A 0 MB, where A and B are rings and M is a (B, A)-bimodule …

Let R be a ring and M a right R-module. Let N be a proper submodule of M. We say that M is
N-coretractable (or M is coretractable relative to N) provided that, for every proper …

Let R be a ring with identity and M be an R-module with unite. The module M is called
strongly coretractable module if for each proper submodule N of M, there exists a nonzero R …

Все рассматриваемые коалгебры, если не оговорено противное, определены над
полем k. Через∆: C→ C⊗ C будем обозначать коумножение, а через ε: C→ k коединицу …

Let R be a ring with identity and M be an R-module with unity. In this paper we introduce the
notion of C-coretractable modules. Some basic properties of this class of modules are …

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) …