17 citations · 55 across the 8 of their papers we have counts for
8 papers
Proof of Cayley-Hamilton theorem using polynomials over the algebra of module endomorphisms
Alexey Muranov
If is a commutative unital ring and is a unital -module, then each element of determines a left -module structure…
Finitely generated infinite simple groups of infinite square width and vanishing stable commutator length
Alexey Muranov
It is shown that there exist finitely generated infinite simple groups of infinite commutator width and infinite square width on which there exists no stably unbounded conjugation-…
A remark on groups without finite quotients
Jakub Gismatullin, Alexey Muranov
We notice that the class of nontrivial groups without proper subgroups of finite index is not elementary, because some groups in this class, such as , have ult…
Interpretation of the Arithmetic in certain groups of piecewise affine permutations of an interval
Tuna Altınel, Alexey Muranov
The Arithmetic is interpreted in all the groups of Richard Thompson and Graham Higman, as well as in other groups of piecewise affine permutations of an interval which generalize t…
Independence property and hyperbolic groups
Eric Jaligot, Alexey Muranov, Azadeh Neman
We prove that existentially closed -groups have the independence property. This is done by showing that there exist words having the independence property relatively to the cl…
Finitely generated infinite simple groups of infinite commutator width
Alexey Muranov
It is shown that there exists a finitely generated infinite simple group of infinite commutator width, and that the commutator width of a finitely generated infinite boundedly simp…