Dual Structures in Non-Commutative Differential Algebras

Mathematics – Quantum Algebra

Scientific paper

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11 pages, LaTex, available by e-mail <zzz@russ-museum.spb.su>

Scientific paper

The non-commutative algebraic analog of the moduli of vector and covector
fields is built. The structure of moduli of derivations of non-commutative
algebras are studied. The canonical coupling is introduced and the conditions
for appropriate moduli to be reflexive are obtained.

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