Identities for a parametric Weyl algebra over a ring
Abstract
In 2013 Benkart, Lopes and Ondrus introduced and studied in a series of papers the infinite-dimensional unital associative algebra h generated by elements x,y, which satisfy the relation yx-xy=h for some 0≠ h∈ [x]. We generalize this construction to h() by working over the fixed -algebra instead of . We describe the polynomial identities for h() over the infinite field in case h∈[x] satisfies certain restrictions.
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