scholarly journals Global and Krull Dimensions of Quantum Weyl Algebras

1999 ◽  
Vol 216 (2) ◽  
pp. 405-416 ◽  
Author(s):  
Hisaaki Fujita ◽  
Ellen Kirkman ◽  
James Kuzmanovich
Keyword(s):  
Weyl Algebras ◽  
Krull Dimensions

scholarly journals Simple weight modules over weak generalized Weyl algebras

2015 ◽  
Vol 219 (8) ◽  
pp. 3427-3444 ◽  
Author(s):  
Rencai Lü ◽  
Volodymyr Mazorchuk ◽  
Kaiming Zhao
Keyword(s):  
Weyl Algebras ◽  
Generalized Weyl Algebras ◽  
Weight Modules

scholarly journals Classification of Simple Modules of the Ore Extension $$K[X][Y; f\frac{d}{dX}]$$

2019 ◽  
Vol 14 (2) ◽  
pp. 317-325
Author(s):  
V. V. Bavula
Keyword(s):  
Explicit Description ◽  
Ore Extension ◽  
Simple Modules ◽  
Krull Dimensions

Abstract For the algebras $$\Lambda $$Λ in the title of the paper, a classification of simple modules is given, an explicit description of the prime and completely prime spectra is obtained, the global and the Krull dimensions of $$\Lambda $$Λ are computed.

scholarly journals Generalized Weyl algebras and diskew polynomial rings

2019 ◽  
Vol 19 (10) ◽  
pp. 2050194
Author(s):  
V. V. Bavula
Keyword(s):  
Mild Condition ◽  
Polynomial Rings ◽  
Weyl Algebras ◽  
New Class ◽  
Generalized Weyl Algebras

The aim of the paper is to extend the class of generalized Weyl algebras (GWAs) to a larger class of rings (they are also called GWAs) that are determined by two ring endomorphisms rather than one as in the case of ‘old’ GWAs. A new class of rings, the diskew polynomial rings, is introduced that is closely related to GWAs (they are GWAs under a mild condition). Simplicity criteria are given for GWAs and diskew polynomial rings.

scholarly journals Quantum Weyl algebras and reflection equation algebras at a root of unity

2020 ◽  
Vol 224 (12) ◽  
pp. 106440
Author(s):  
Nicholas Cooney ◽  
Iordan Ganev ◽  
David Jordan
Keyword(s):  
Reflection Equation ◽  
Weyl Algebras ◽  
Root Of Unity

Krull dimensions of divisorially graded rings

1991 ◽  
Vol 19 (12) ◽  
pp. 3447-3464
Author(s):  
M. Jesus Asensio ◽  
Gomez Jose ◽  
Torrecillas Bias
Keyword(s):  
Graded Rings ◽  
Krull Dimensions

d-critical modules of length 2 over weyl algebras

1993 ◽  
Vol 83 (3) ◽  
pp. 361-368 ◽  
Author(s):  
Gadi Shimon Perets
Keyword(s):  
Weyl Algebras
Sign in / Sign up

Export Citation Format

Share Document