**TOME 52 (100), No. 4, 2009****Toma Albu :**Completely irreducible meet decompositions in lattices, with applications to Grothendieck categories and torsion theories (I), p.393-419**Cristodor Ionescu :**A note on smoothness and differential bases in positive characteristic, p.421-426**Cristina Flaut and Mirela Stefanescu :**Some equations over generalized quaternion and octonion division algebras, p.427-439**V. K. Jain :**Inequalities for polynomials with a prescribed zero, p.441-449**G. Mincu and L. Panaitopol :**More about powerful numbers, p.451-460**Ioan Tomescu and Muhammad Imran :**On Metric and Partition Dimensions of Some Infinite Regular Graphs, p.461-472