Unitary units in modular group algebras.
Unit-regularity and representability for semiartinian -regular rings
We show that any semiartinian -regular ring is unit-regular; if, in addition, is subdirectly irreducible then it admits a representation within some inner product space.
Units in group rings of crystallographic groups
In [3], the authors initiated a technique of using affine representations to study the groups of units of integral group rings of crystallographic groups. In this paper, we use this approach for some special classes of crystallographic groups. For a first class of groups we obtain a normal complement for the group inside the group of normalized units. For a second class of groups we show that the Zassenhaus conjectures ZC1 and ZC3 are valid. This generalizes the results known for the infinite dihedral...
Units of F5kD10
2000 Mathematics Subject Classification: 20C05, 16U60, 16S84, 15A33.The Structure of the Unit Group of the Group Algebra of the group D10 over any field of characteristic 5 is established in terms of split extensions of cyclic groups.
Universal envelopes of Malcev algebras: pointed Moufang bialgebras.
Universal exact sequences for torsion theories
Universal -differential calculus and -analog of homological algebra.
Universal semigroups.
Universality of a non-classical integral quadratic form over ℚ(√5)
Unterringtheorie-exemplifiziert an Ringen mit Involution
Unzerlegbare Darstellungen I.
Unzerlegbare, injektive Moduln über Kettenringen.
Unzerlegbare Moduln über artinschen Ringen.