4 citations · 7 across the 5 of their papers we have counts for
5 papers
Entropy in the category of perfect complexes with cohomology of finite length
Mahdi Majidi-Zolbanin, Nikita Miasnikov
Local and category-theoretical entropies associated with an endomorphism of finite length (i.e., with zero-dimensional closed fiber) of a commutative Noetherian local ring are comp…
On additivity of local entropy under flat extensions
Mahdi Majidi-Zolbanin
Let be a local homomorphism of Noetherian local rings. Consider two endomorphisms \textit{of finite length} (i.e., with zero-dimensional clos…
Kunz Regularity Criterion via algebraic entropy
Mahdi Majidi-Zolbanin, Nikita Miasnikov, Lucien Szpiro
In arXiv:1109.6438v1 [math.AG] we introduced and studied a notion of algebraic entropy. In this paper we will give an application of algebraic entropy in proving Kunz Regularity Cr…
Dynamics and entropy in local algebra
Mahdi Majidi-Zolbanin, Nikita Miasnikov, Lucien Szpiro
We introduce and study a notion of algebraic entropy for self-maps of finite length of Noetherian local rings, and develop its properties. We show that it shares the standard prope…
Lifting finite self maps of equicharacteristic complete local rings
Mahdi Majidi-Zolbanin, Nikita Miasnikov, Lucien Szpiro
In the spirit of Fakhruddin (arXiv:math/0212208v1) and Szpiro-Bhatnagar (arXiv:1010.2715v1), we show that for an equicharacteristic complete local ring A, with a given embedding of…