Cancellation and skew cancellation for Poisson algebras
نویسندگان
چکیده
We study the Zariski cancellation problem for Poisson algebras in three variables. In particular, we prove those with bracket either being quadratic or derived from a Lie algebra are cancellative. also use various invariants, including Makar–Limanov invariant, divisor subalgebra, and stratiform length, to skew algebras.
منابع مشابه
Cancellation in Skew Lattices
Distributive lattices are well known to be precisely those lattices that possess cancellation: x ∨ y = x ∨ z and x ∧ y = x ∧ z imply y = z. Cancellation, in turn, occurs whenever a lattice has neither of the 5-element lattices M3 or N5 as sublattices. In this paper we examine cancellation in skew lattices, where the involved objects are in many ways lattice-like, but the operations ∧ and ∨ no l...
متن کاملCancellation Conjecture for Free Associative Algebras
We develop a new method to deal with the Cancellation Conjecture of Zariski in different environments. We prove the conjecture for free associative algebras of rank two. We also produce a new proof of the conjecture for polynomial algebras of rank two over fields of zero characteristic.
متن کاملA Cancellation Conjecture for Free Associative Algebras
We develop a new method to deal with the Cancellation Conjecture of Zariski in different environments. We prove the conjecture for free associative algebras of rank two. We also produce a new proof of the conjecture for polynomial algebras of rank two over fields of zero characteristic.
متن کاملOn a Cancellation Law for Monounary Algebras
In this paper we investigate the validity of a cancellation law for some classes of monounary algebras.
متن کاملPower control for successive interference cancellation with imperfect cancellation
This paper proposes and analyzes an iterative power control scheme for use with successive interference cancellation (SIC) in the presence of cancellation errors. In [1], SIC is shown to increase the capacity of cellular CDMA systems significantly, even if the signal cancellation is imperfect due to estimation errors. However, an important complication of SIC relative to conventional CDMA recei...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2022
ISSN: ['1432-1823', '0025-5874']
DOI: https://doi.org/10.1007/s00209-022-03026-3