Title: Modules with a minimal generating set Author: Michal Hrbek Department: Department
of Algebra Supervisor: Mgr. Pavel Růžička, Ph. D., Department of Algebra Abstract: By a …

We say that a subset X of a left R-module M is weakly independent provided that whenever
a 1 x 1+⋯+ anxn= 0 for pairwise distinct elements x 1,…, xn form X, then none of a 1,…, an is …

A weak basis of a module is a generating set of the module minimal with respect to
inclusion. A module is said to be regularly weakly based provided that each of its generating …

A non-zero module M having a minimal generator set contains a maximal submodule. If M is
Artinian and all submodules of M have minimal generator sets then M is Noetherian; it …

ES Golod1 Lomonosov Moscow State University e-mail: 7012002@ inbox. ru AA
Tuganbaev2 National Research University” MPEI” e-mail: tuganbaev@ gmail. com Abstract …

Full article: Strongly Minimal Modules Over Group Rings Skip to Main Content Taylor and
Francis Online homepage Taylor and Francis Online homepage Access provided by …

Let $ R $ be a ring admitting a free module with generating set shorter than the length of a
basis. If $ n $ is the shortest basis among all such modules and $ m $ the length of its …

Minimal Number of Generators of Submodules 1 Introduction Page 1 International Journal of
Algebra, Vol. 5, 2011, no. 31, 1505 - 1514 Minimal Number of Generators of Submodules AR …

Strongly minimal modules over group rings IRIS IRIS Home Sfoglia Macrotipologie & tipologie
Autore Titolo Riviste Serie IT Italiano Italiano English English LOGIN 1.IRIS 2.SIARI UNICAM …

Let R be a left Artinian ring, and M a faithful left R-module such that no proper submodule or
homomorphic image of M is faithful. If R is local, and socle(R) is central in R, we show that …