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### Contents

NANTA MATHEMATICA | 1 |

On Extensions of NearRings K L CHEW and G H CHAN | 12 |

On the Frattini SubSemilattice of a Semilattice KHEEMENG KOH | 22 |

8 other sections not shown

### Common terms and phrases

abelian group algebra basic flows bitopological space C-ring closed set commutative completely regular condition containing converges Corollary cyclic subalgebra decomposition def1ned defined denote Department of Mathematics disjoint distributive lattice element equation exists f1nite finite intersection property finite weighted graph fixed point follows function f G is locally given H. H. Teh Hence homomorphism hypersurface ideal idempotents indecomposable integral isomorphic J2-ring Jacobson radical left invariant subset Lemma Let G locally cyclic decomposable locally cyclic subgroup mapping Math matrix maximal locally cyclic maximal sub-semilattice Nanyang University near-ring node non-empty non-trivial flow non-zero open set p-primary component pairwise Hausdorff pairwise normal pairwise regular Petersen graph proper sub-semilattice prove quasigroup regular with respect Rickart ring satisfying scale-shape model semi-P-mapping semilattice sequence solution strongly torsion-free structural distribution subgroup of G Suppose Theorem topological ring topology totally bounded tree flow vector weighted graph zero