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Communications in Algebra, ISSN 0092-7872, 01/2020, Volume 48, Issue 1, pp. 185 - 197
In this article, we present necessary and sufficient conditions for a graded (trimmed) double Ore extension to be a graded (quasi-commutative) skew PBW... 
Double Ore extensions | Artin-Schelter regular algebras | skew Calabi-Yau algebras | graded skew PBW extensions | MATHEMATICS | ALGEBRAS
Journal Article
Journal of Pure and Applied Algebra, ISSN 0022-4049, 03/2020, Volume 224, Issue 3, pp. 958 - 986
The aim of the paper is to show the existence of some ingredients for an umbral calculus on some Ore extensions, in a manner analogous to Rota's classical... 
Pincherle calculus | Coalgebra | Umbral calculus | Translation operators | Difference algebra | Ore extensions | MATHEMATICS | MATHEMATICS, APPLIED | Algebra
Journal Article
Communications in Algebra, ISSN 0092-7872, 03/2019, Volume 47, Issue 3, pp. 1248 - 1270
The aim of this article is to develop the theory of skew Armendariz and quasi-Armendariz modules over skew PBW extensions. We generalize the results of several... 
quasi-Baer | Armendariz | Baer | skew PBW extensions | p.p. and p.q.-Baer rings | Baer rings | ORE EXTENSIONS | RINGS | and p | IDEALS | MATHEMATICS | ALGEBRAS | POLYNOMIAL EXTENSIONS | KOSZULITY | GROBNER BASES | Modules | Rings (mathematics)
Journal Article
Communications in Algebra, ISSN 0092-7872, 11/2018, Volume 46, Issue 11, pp. 4891 - 4904
It is proved that the Poisson enveloping algebra of a double Poisson-Ore extension is an iterated double Ore extension. As an application, properties that are... 
Poisson enveloping algebra | Double Ore extension | double Poisson-Ore extension | MATHEMATICS | BIRKHOFF-WITT THEOREM | Algebra
Journal Article
Earth and Planetary Science Letters, ISSN 0012-821X, 2009, Volume 286, Issue 3, pp. 387 - 395
Hydrothermal deposits in extensional settings are common worldwide. These deposits are generally assumed to have formed from circulating fluids that mix with... 
extension | mineralization | Black Forest | fluid ascent | hydrothermal ore | Schwarzwald | CANADA | RIFT SYSTEM | GEOCHEMISTRY & GEOPHYSICS | TRANSPORT | EVOLUTION | DEPOSITS | FLUID INCLUSION | STABLE-ISOTOPE | BASIN | BASEMENT | Earth | Rocks | Crust | Analytic geochemistry | Mineralogy | Analysis
Journal Article
Journal of Asian Earth Sciences, ISSN 1367-9120, 10/2014, Volume 93, pp. 253 - 274
•The Nanshanping alkaline rocks were emplaced at 100–93Ma.•These alkaline rocks were derived from an enriched subducted-modified mantle source.•These alkaline... 
Crust–mantle interaction | Cathaysia Block | Alkaline rocks | Enriched mantle source | Cathaysia block | Crust-mantle interaction | A-TYPE GRANITES | GAN-HANG BELT | URANIUM ORE FIELD | SR-ND-PB | TRACE-ELEMENT | GEOSCIENCES, MULTIDISCIPLINARY | SE CHINA | PLASMA-MASS SPECTROMETRY | SOUTHEASTERN CHINA | CU-MO DEPOSIT | HF ISOTOPIC COMPOSITIONS | Earth | Mantle | Geochronology
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 11/2015, Volume 143, Issue 11, pp. 4633 - 4645
We prove that the universal enveloping algebra of a Poisson-Ore extension is a length two iterated Ore extension of the original universal enveloping algebra.... 
Ore extension | Universal enveloping algebra | Poisson algebra | Mathematics - Rings and Algebras
Journal Article
Communications in Algebra, ISSN 0092-7872, 07/2018, Volume 46, Issue 7, pp. 3014 - 3032
We show that if A is a finite-dimensional associative H-module algebra for an arbitrary Hopf algebra H, then the proof of the analog of Amitsur's conjecture... 
skew-derivation | Ore extension | H-simple algebra | polynomial identity | Associative algebra | Taft algebra | H-module algebra | codimension | POINTED HOPF-ALGEBRAS | SEMIGROUP GRADED ALGEBRAS | MATHEMATICS | ASSOCIATIVE ALGEBRAS | CODIMENSION GROWTH | RADICALS | Algebra | Mathematics - Rings and Algebras
Journal Article
Taiwanese Journal of Mathematics, ISSN 1027-5487, 2016, Volume 20, Issue 6, pp. 1231 - 1250
Let R be an associative ring with identity, S a multiplicative subset of R, and M a right R-module. Then M is called an S-Noetherian module if for each... 
Ore extension | S-Noetherian module | Right S-Noetherian ring | Hilbert basis theorem | MATHEMATICS
Journal Article
Communications in Algebra, ISSN 0092-7872, 08/2011, Volume 39, Issue 8, pp. 2838 - 2848
Motivated by the construction of new examples of Artin-Schelter regular algebras of global dimension four, Zhang and Zhang [ 6 ] introduced an algebra... 
Double Ore extensions | Iterated Ore extensions | MATHEMATICS | Construction | Algebra
Journal Article