M. Raievska

activity

20192023

most citedSemidistributive nearrings with identity

3 citations · 8 across the 5 of their papers we have counts for

collaborators

5 papers

math.GR2023

Groups of the nilpotency class $3$ of order $p^{4}$ as additive groups of local nearrings

Iryna Raievska, Maryna Raievska

We consider groups of the nilpotency class $3$ of order $p^{4}$ which are the additive groups of local nearrings. It was shown that, for $p > 3$ , there exist a local nearring on one of…

math.RA2023★ 2 cited

Groups of the nilpotency class $2$ of order $p^{4}$ as additive groups of local nearrings

Iryna Raievska, Maryna Raievska

We consider groups of the nilpotency class $2$ of order $p^{4}$ which are the additive groups of local nearrings. It was shown that, for odd p, out of 6 of such groups 4 of them are…

math.RA2022★ 3 cited

Semidistributive nearrings with identity

Iryna Raievska, Maryna Raievska, Yaroslav Sysak

It is proved that the additive group of every semidistributive nearring $R$ with an identity is abelian and if R has no elements of order $2$ , then the nearring $R$ actually is an…

math.RA2022★ 1 cited

Lower bounds for the number of local nearrings on groups of order $p^{3}$

Iryna Raievska, Maryna Raievska

Lower bounds for the number of local nearrings on groups of order $p^{3}$ are obtained. On each non-metacyclic non-abelian or metacyclic abelian groups of order $p^{3}$ there exist at…

math.RA2019★ 2 cited

Local nearrings on finite non-abelian $2$ -generated $p$ -groups

Iryna Iu. Raievska, Maryna Iu. Raievska

Finite non-abelian non-metacyclic $2$ -generated $p$ -groups ( $p > 2$ ) of nilpotency class $2$ with cyclic commutator subgroup which are the additive groups of local nearrings are de…

Groups of the nilpotency class 3 of order p4 as additive groups of local nearrings

Groups of the nilpotency class 2 of order p4 as additive groups of local nearrings

Semidistributive nearrings with identity

Lower bounds for the number of local nearrings on groups of order p3

Local nearrings on finite non-abelian 2-generated p-groups

Groups of the nilpotency class $3$ of order $p^{4}$ as additive groups of local nearrings

Groups of the nilpotency class $2$ of order $p^{4}$ as additive groups of local nearrings

Lower bounds for the number of local nearrings on groups of order $p^{3}$

Local nearrings on finite non-abelian $2$ -generated $p$ -groups