The Zariski cancellation problem for Poisson algebras
We study the Zariski cancellation problem for Poisson algebras asking whether A [t]≅ B [t]
implies A≅ B when A and B are Poisson algebras. We resolve this affirmatively in the cases …
implies A≅ B when A and B are Poisson algebras. We resolve this affirmatively in the cases …
A view toward homomorphisms and cv-polynomials between double Ore extensions
MC Ramírez, A Reyes - arXiv preprint arXiv:2401.14162, 2024 - arxiv.org
Motivated by the theory of homomorphisms and cv-polynomials of Ore extensions
formulated by several mathematicians, the rol of double Ore extensions introduced by Zhang …
formulated by several mathematicians, the rol of double Ore extensions introduced by Zhang …
[PDF][PDF] A survey on Zariski cancellation problems for noncommutative and Poisson algebras
arXiv:2304.05914v2 [math.RA] 15 Sep 2023 Page 1 arXiv:2304.05914v2 [math.RA] 15 Sep
2023 A SURVEY ON ZARISKI CANCELLATION PROBLEMS FOR NONCOMMUTATIVE AND …
2023 A SURVEY ON ZARISKI CANCELLATION PROBLEMS FOR NONCOMMUTATIVE AND …
Contemporary Mathematics Volume 801, 2024
H Huang, X Tang, X Wang - Recent Advances in …, 2024 - books.google.com
Contemporary Mathematics Volume 801, 2024 Page 152 Contemporary Mathematics Volume
801, 2024 https://doi. org/10.1090/conm/801/16085 A survey on Zariski cancellation problems …
801, 2024 https://doi. org/10.1090/conm/801/16085 A survey on Zariski cancellation problems …
The PBW Theorem and simplicity criteria for the Poisson enveloping algebra and the algebra of Poisson differential operators
VV Bavula - arXiv preprint arXiv:2107.00321, 2021 - arxiv.org
For an arbitrary Poisson algebra $\CP $ over an arbitrary field, an (analogue of) the
Poincar\'{e}-Birkhof-Witt Theorem is proven and several presentations/constructions for its …
Poincar\'{e}-Birkhof-Witt Theorem is proven and several presentations/constructions for its …
Poisson double extensions
Q Lou, SQ Oh, S Wang - Science China Mathematics, 2020 - Springer
A double Ore extension was introduced by Zhang and Zhang (2008) to study a class of Artin-
Shelter regular algebras. Here we give a definition of Poisson double extension which may …
Shelter regular algebras. Here we give a definition of Poisson double extension which may …
The Poisson enveloping algebra and the algebra of Poisson differential operators of a generalized Weyl Poisson algebra
VV Bavula - arXiv preprint arXiv:2107.00944, 2021 - arxiv.org
For a generalized Weyl Poisson algebra $ A $, explicit sets of generators and defining
relations are presented for its Poisson enveloping algebra $\CU (A) $. Simplicity criteria are …
relations are presented for its Poisson enveloping algebra $\CU (A) $. Simplicity criteria are …
Poisson primitive ideals of a Poisson order
YV Huynh, SQ Oh, H Sim - Communications in Algebra, 2021 - Taylor & Francis
Full article: Poisson primitive ideals of a Poisson order Skip to Main Content Taylor and Francis
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Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …
Poincaré–Birkhoff–Witt theorem for Poisson enveloping algebra
YV Huynh, SQ Oh, H Sim - Communications in Algebra, 2022 - Taylor & Francis
Let A be a Poisson polynomial algebra and let I be a Poisson ideal of A. It is established that
the Poisson algebra B:= A/I satisfies the Poincar é-Birkhoff-Witt theorem. That is, the …
the Poisson algebra B:= A/I satisfies the Poincar é-Birkhoff-Witt theorem. That is, the …
Double poisson extensions
Q Lou, SQ Oh, SQ Wang - arXiv preprint arXiv:1606.02410, 2016 - arxiv.org
A double Ore extension was introduced by James Zhang and Jun Zhang [26] to study a
class of Artin-Schelter regular algebras. Here we give a definition of Poisson double …
class of Artin-Schelter regular algebras. Here we give a definition of Poisson double …