We define a topo-system on group as set of subgroups satisfying certain topology-like conditions. study some fundamental properties groups equipped with (topo-groups) and using suitable formalization subgroup filter, we prove Tychonoff type theorem for the direct product topo-compact topo-groups.

Right groups are direct products of right zero semigroups and groups and they play a significant role in the semilattice decomposition theory of semigroups. Right groups can be characterized as associative right quasigroups (magmas in which left translations are bijective). If we do not assume associativity we get right quasigroups which are not necessarily representable as direct products of r...

Injury potential may have a regulatory role in the wound healing process, and exogenous electrical stimulation (ES) may mimic natural endogenous bioelectric current that can improve wound healing. Until now, the influence of externally applied ES on injury potential has not been demonstrated during the healing of acute wounds. Thirty-nine male guinea pigs were randomly divided into a control gr...

2 Groups 3 2.1 Basics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Homomoprphisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.3 Direct and Semidirect Product . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.4 Normal Subgroups . . . . . . . . . . . . . . . . . . . . . ....