Homogeneous models and generic extensions.
Hyperidentities and hypervarieties.
Hyperidentities of groups and semigroups.
Hyperidentities of groups and semigroups. (Short Communication).
Identifying and distinguishing various varieties of abelian topological groups [Book]
Infinite independent systems of the identities of the associative algebra over an infinite field of characteristic
In this paper some infinitely based varieties of groups are constructed and these results are transferred to the associative algebras (or Lie algebras) over an infinite field of an arbitrary positive characteristic.
Infinite locally soluble -Engel groups
In this paper we deal with the class of groups for which whenever we choose two infinite subsets , there exist two elements , such that . We prove that an infinite finitely generated soluble group in the class is in the class of -Engel groups. Furthermore, with , we show that if is infinite locally soluble or hyperabelian group then .
Inverse semigroup varieties with the amalgamation property.
Just Non-Metabelian Groups.
-многообразия без независимого базиса тождеств
-многообразия без независимого базиса тождеств. II.
Monoid varieties defined by xn+1 = ... are local.
Near-Rings of Polynomials over ...-Groups.
Nilpotent, weakly abelian and Hamiltonian lattice ordered groups
Nonfree projectives in products of group varieties
Nonsplitting F-quasigroups
T. Kepka, M.K. Kinyon and J.D. Phillips: The structure of F-quasigroups, J. Algebra 317 (2007), no. 2, 435–461 developed a connection between F-quasigroups and NK-loops. Since NK-loops are contained in the variety generated by groups and commutative Moufang loops, a question that arises is whether or not there exists a nonsplit NK-loop and likewise a nonsplit F-quasigroup. Here we prove that there do indeed exist nonsplit F-quasigroups and show that there are exactly four corresponding nonsplit...
On a conjecture of Rhodes.
On a Non-Abelian Variety of Groups which are Symmetric Algebras.
On cross semigroup varieties and related questions.
On embedding properties of -groups.