Polycyclic-by-finite group algebras are catenary
Edward S. Letzter, Martin Lorenz
Abstract
We show that group algebras kG of polycyclic-by-finite groups G, where k is a field, are catenary: Given prime ideals P and P' of kG, with P contained in P', all saturated chains of primes between P and P' have the same length.
Create a lesson
Related papers
The E6 normal forms: semisimple deformations, geometry, DT invariants, and the E6,∞ order
Shengyong Pan
A 9-dimensional nilpotent Lie algebra isomorphic to its complex conjugate admitting no real form
Tom De Medts
Projective Differential Moment Invariants from the Viewpoint of Classical Invariant Theory
Leonid Bedratyuk
Global obstruction property and its applications
Weiheng Xia
The rank of 3× 3 matrix multiplication over F2 is 23
Tejasvi Singh Tomar
BiHom-Poisson conformal superalgebras arising from related algebraic structures
BakolÈ Louamou, Ibrahima Bakayoko, Kol BÉatrice Gamou