12 citations · 14 across the 2 of their papers we have counts for
4 papers
A Sheaf On The Second Spectrum Of A Module
Secil Ceken, Mustafa Alkan
Let R be a commutative ring with identity and Specs(M) denote the set all second submodules of an R-module M. In this paper, we construct and study a sheaf of modules, denoted by O…
Invariant theory for quantum Weyl algebras under finite group action
Secil Ceken, John H. Palmieri, Yanhua Wang +1
We study the invariant theory of a class of quantum Weyl algebras under group actions and prove that the fixed subrings are always Gorenstein. We also verify the Tits alternative f…
The discriminant criterion and automorphism groups of quantized algebras
Secil Ceken, John H. Palmieri, Yanhua Wang +1
We compute the automorphism groups of some quantized algebras, including tensor products of quantum Weyl algebras and some skew polynomial rings.
The discriminant controls automorphism groups of noncommutative algebras
Secil Ceken, John Palmieri, Yanhua Wang +1
We use the discriminant to determine the automorphism groups of some noncommutative algebras, and we prove that a family of noncommutative algebras has tractable automorphism group…