We present solutions to isomorphism problems for various generalized Weyl algebras,
including deformations of type-A Kleinian singularities and the algebras similar to $ U …

We consider a Dedekind domainDand aZ-graded ringR=;⊕ i∈ ZR iwithR0= Dand eachRi=
Dvibeing a freeD-module of rank 1. The structure ofRis described by an automorphism …

The (left) global dimension of generalized Weyl algebras A= D (o, a) is studied. It is proved
that lgd A= n, n+ 1 or∞ where lgd D= n. If D is semiprime Noetherian a criterion is given for A …

Classification of Simple Weight Modules over the Schrödinger Algebra Page 1 Canad. Math.
Bull. Vol. ( ), pp. – http://dx.doi.org/. /CMB--©Canadian Mathematical Society Classification of …

We prove that the algebra of integro-differential operators on a polynomial algebra is a
prime, central, catenary, self-dual, non-Noetherian algebra of classical Krull dimension n …

The Prime Spectrum and Simple Modules Over the Quantum Spatial Ageing Algebra Page
1 Algebr Represent Theor (2016) 19:1109–1133 DOI 10.1007/s10468-016-9613-8 The …

The recent result of Brown and Zhang establishing Poincaré duality in the Hochschild (co)
homology of a large class of Hopf algebras is extended to right coideal subalgebras over …

Many rings that have enjoyed growing interest in recent years, eg, quantum enveloping
algebras, quantum matrices, certain Witten-algebras,…, can be presented as generalized …

For simple generalized Weyl algebras Λ of Gelfand–Kirillov dimension 4, a class including
the second Weyl algebra A2, some simple factor algebras of the universal enveloping …

The 3-cyclic quantum Weyl algebra AD A.; ˇ; Iq2/, where; ˇ;; q2 2 K (a ground field), is a
quadratic Noetherian domain of Gelfand–Kirillov dimension 3 that is generated by three …