On existing of filtered multiplicative bases in group algebras.
On explicit relations between cyclotomic numbers
On exponential growth rates for free groups.
Let Fp be a free group of rank p ≥ 2. It is well-known that, with respect to a p-element generating set, that is, a basis, the exponential growth rate of Fp is 2p-1. We show that the exponential growth rate τ of a group G with respect to a p-element generating set X is 2p-1 if and only if G is free on X; otherwise τ < 2p-1. We also prove that, for any finite generating set X of Fp which is disjoint from X-1, the exponential growth rate τ of Fp with respect to X is 2p-1 if and only if X is...
On exposed semigroup homomorphisms.
On expressing commutativity by finite Church-Rosser presentations : a note on commutative monoids
On extending endomorphisms to automorphisms.
On extending functions to solutions of some functional equations.
On extending functions to solutions of some functional equations. (Short Communications).
On extension of pseudo-integers.
On extensions of an elementary abelian group of order by
On extensions of bounded subgroups in Abelian groups
It is well-known that every bounded Abelian group is a direct sum of finite cyclic subgroups. We characterize those non-trivial bounded subgroups of an infinite Abelian group , for which there is an infinite subgroup of containing such that has a special decomposition into a direct sum which takes into account the properties of , and which induces a natural decomposition of into a direct sum of finite subgroups.
On extensions of cyclic orders
On extensions of homomorphisms.
On extensions of homomorphisms and homotopies of commutative -adic groups
On extensions of partial -operators
On extensions of primary almost totally projective abelian groups
Suppose is a subgroup of the reduced abelian -group . The following two dual results are proved: If is countable and is an almost totally projective group, then is an almost totally projective group. If is countable and nice in such that is an almost totally projective group, then is an almost totally projective group. These results somewhat strengthen theorems due to Wallace (J. Algebra, 1971) and Hill (Comment. Math. Univ. Carol., 1995), respectively.
On extensions of the maximal cyclotomic field having a given classical Galois group.
On extensions onto sub-semigroups of semigroups with two generators.
On factor coverings of groups
On factor S-sets of monoids modulo submonoids.