[HTML][HTML] Projective covers over local rings

S Ercolanoni, A Facchini - Annali di Matematica Pura ed Applicata (1923-), 2021 - Springer
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Regularly weakly based modules over right perfect rings and Dedekind domains

M Hrbek, P Růžička - Czechoslovak Mathematical Journal, 2017 - Springer
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 …

The group of all finite-state automorphisms of a regular rooted tree has a minimal generating set

Y Lavrenyuk - Geometriae Dedicata, 2016 - Springer
We find some sufficient conditions under which the permutational wreath product of two
groups has a minimal (irredundant) generating set. In particular we prove that for a regular …

[HTML][HTML] On the existence of weak bases for vector spaces

D Herden, M Hrbek, P Růžička - Linear Algebra and its Applications, 2016 - Elsevier
For a right vector space we study the question whether any generating set of subspaces of a
bounded finite dimension contains a generating subset minimal with respect to inclusion …

[PDF][PDF] Weak Linear Independence of Vector Spaces

H Hakmi, E Al-Khouja, A Al-Taybani - academia.edu
The problem of generation and oneness considered for expressing about an element is very
important and has a big effect in mathematics in general and in algebra in special for …