On congruence lattices of regular semigroups with Q-inverse transversals.
On congruence permutable -sets
An algebraic structure is said to be congruence permutable if its arbitrary congruences and satisfy the equation , where denotes the usual composition of binary relations. To an arbitrary -set satisfying , we assign a semigroup on the base set containing a zero element , and examine the connection between the congruence permutability of the -set and the semigroup .
On congruences and ideals of partially ordered quasigroups
Some results concerning congruence relations on partially ordered quasigroups (especially, Riesz quasigroups) and ideals of partially ordered loops are presented. These results generalize the assertions which were proved by Fuchs in [5] for partially ordered groups and Riesz groups.
On congruences of ...x-normal semigroups.
On congruences on finite semigroups.
On conjugating representations and adjoint representations of semisimple groups.
On Connected Transversals in Finite Groups.
On connectedness of graphs on direct product of Weyl groups
In this paper, we have studied the connectedness of the graphs on the direct product of the Weyl groups. We have shown that the number of the connected components of the graph on the direct product of the Weyl groups is equal to the product of the numbers of the connected components of the graphs on the factors of the direct product. In particular, we show that the graph on the direct product of the Weyl groups is connected iff the graph on each factor of the direct product is connected.
On connectedness of graphs on Weyl groups of type ()
On connection between the structure of a finite group and the properties of its prime graph.
On constructive nilpotent groups.
On convergence groupoids
On convergence groups with dense coarse subgroups
On convexities of -groups
On countable extensions of primary abelian groups
It is proved that if is an abelian -group with a pure subgroup so that is at most countable and is either -totally projective or -summable, then is either -totally projective or -summable as well. Moreover, if in addition is nice in , then being either strongly -totally projective or strongly -summable implies that so is . This generalizes a classical result of Wallace (J. Algebra, 1971) for totally projective -groups as well as continues our recent investigations in (Arch....
On cover-avoiding subgroups of Sylow subgroups of finite groups
On covers of abelian groups by cosets
On cross semigroup varieties and related questions.
On c-semigroups
On Cycles in Flag Manifolds.