5 citations · 10 across the 10 of their papers we have counts for
8 papers · 1 filter
The Haar measure of a profinite -ary group
M. Shahryari, M. Rostami
We prove that every profinite -ary group $(G, f)=\Gf$ has a unique Haar measure and further for every measurable subset , we have $$ m_p(A)=m(A)=(n-1)m^{\ast…
Nullstellensatz for relative existentially closed groups
Mohammad Shahryari
We prove that in every variety of -groups, every -existentially closed element satisfies nullstellensatz for finite consistent systems of equations. This will generalize {\bf…
On profinite polyadic groups
M. Shahryari, M. Rostami
We study the structure of profinite polyadic groups and we prove that a polyadic topological group is profinite, if and only if, it is compact, Hausdorff, totally disconne…
A note on surjunctive groups
M. Shahryari
In this article, we prove that a semidirect product of a locally finite group with a surjunctive group is also surjunctive. We also prove that a surjunctive-by-locally finite group…
A note on cellular automata
M. Shahryari
For an arbitrary group and arbitrary set , we define a monoid structure on the set of all uniformly continuous functions and then we show that it is naturally iso…
On the equationally Artinian groups
M. Shahryari, J. Tayyebi
In this article, we study the property of being equationally Artinian in groups. We prove that a finite extension of an equationally Artinian group is again equationally Artinian.…