Abstract
In 2013 Benkart, Lopes and Ondrus introduced and studied in a series of papers the infinite-dimensional unital associative algebra Ah generated by elements x,y, which satisfy the relation yx−xy=h for some 0≠h∈F[x]. In this paper we investigate the standard polynomial identities and minimal identities for certain subspaces of Ah over an infinite field of arbitrary characteristic.
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