Bulg. J. Phys. vol.35 no.s1 (2008), pp. 43- 50
Commutativity and Associativity of Vertex Algebras
Alessandro D'Andrea
Università degli Studi di Roma "La Sapienza", P.le Aldo Moro, 5 - 00185 Rome, Italy
go backUniversità degli Studi di Roma "La Sapienza", P.le Aldo Moro, 5 - 00185 Rome, Italy
Abstract. I define products on subspaces of a vertex algebra that behave in a better way than residual products of elements. In particular, they satisfy commutativity and associativity properties, and make it possible to easily prove many vertex algebra generalizations of standard facts in commutative algebra theory.