Panjab University Research Journal (Science)
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FORMS OVER SEMI-LOCAL RINGS WITH INVOLUTION

ABSTRACTS OF THE PAPERS APPEARING IN VOLUME 53(2003)
 
Ram Avtar
Department of Correspondence Studies, Panjab University, Chandigarh - 160 014

Abstract
A theory of anti-hermitian form over a commutative ring with identity having an involution is being proposed. The work is based on the observations of E. Witt who observed equivalence classes of anisotropic quadratic forms may be viewed as the quotient ring of the integral group ring Z[G] by an ideal , where G @ F*/ (F*)2 and is the ideal generated by elements of the form (g1 + g2 - g3 - g4) and (1+g5) with gi G. The results hold for l- hermitian forms where l is such that l.l* = 1.

Key words: Antihermitian form, idempotent, involution, witt-ring.
 
 
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