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We continue our investigations on algebras R over a field K with generators x1,x2,…,xn subject to (n2) quadratic relations of the form xixj=xkxl with (i,j)≠(k,l) and, moreover, every monomial xixj appears at most once in one of the defining relations. If these relations are non-degenerate then it is shown that the underlying monoid S contains an abelian submonoid A=〈sN|s∈S〉, that is finitely generated...
We consider algebras over a field K with generators x1,x2,…,xn subject to (n2) quadratic relations of the form xixj=xkxl with (i,j)≠(k,l) and, moreover, every monomial xixj appears at most once in one of the defining relations. If these relations are non-degenerate then it is shown that the algebra is left and right Noetherian, satisfies a polynomial identity and has Gelfand–Kirillov dimension at...
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