Symmetric units and group identities

In this paper we study rings R with an involution whose symmetric units satisfy a group identity. An important example is given by FG, the group algebra of a group G over a field F; in fact FG has a natural involution induced by setting g?g ⁻¹ for all group elements g∈G. In case of group algebras if F is infinite, charF≠ 2 and G is a torsion group we give a characterization by proving the following: the symmetric units satisfy a group identity if and only if either the group of units satisfies a group identity (and a characterization is known in this case) or char F=p >0 and 1) FG satisfies a polynomial identity, 2) the p-elements of G form a (normal) subgroup P of G and G/P is a Hamiltonian 2-group; 3) G is of bounded exponent 4p ^s for some s≥ 0. Received: 8 August 1997     

Spectral pattern of total creatine and trimethyl ammonium in multiple sclerosis

Fatigue and impairment mobility are frequent problems in multiple sclerosis (MS). Despite its enormous potential, in vivo (1)H MRS of skeletal muscles for MS patients is a largely unexplored field. One fundamental question remains unanswered: whether MS can cause observable proton metabolite changes. High quality two-dimensional in vivo (1)H MRS reveals that the spectral pattern of total creatine (tCr) and trimethyl ammonium (TMA) of soleus muscles of MS patients can be distinctively different from that of healthy volunteers, and in vivo (1)H MRS of skeletal muscles has a potential to become a useful tool in MS study.     

New tetrazoloquinolinyl methoxyphenyl-4-thiazolidinones: synthesis and antihyperglycemic evaluation

Research on Chemical Intermediates - We report synthesis and in vivo antihyperglycemic evaluation of new 3-substituted...     

Group algebras with symmetric units satisfying a group identity

We study group algebras FG for which the symmetric units under the natural involution: g^*=g⁻¹ satisfy a group identity. For infinite fields F of characteristic ≠2, a classification of torsion groups G whose symmetric units U⁺(FG) satisfy a group identity was given in [3] by Giambruno-Sehgal-Valenti. We extend this work to non torsion groups. Research supported by NSERC of Canada and MIUR of Italy.