scholarly journals On finite generation of the Johnson filtrations

2021 ◽  
Author(s):  
Thomas Church ◽  
Mikhail Ershov ◽  
Andrew Putman
Keyword(s):  
Finite Generation

scholarly journals Non-branching RCD(0,N) Geodesic Spaces with Small Linear Diameter Growth have Finitely Generated Fundamental Groups

2015 ◽  
Vol 58 (4) ◽  
pp. 787-798 ◽  
Author(s):  
Yu Kitabeppu ◽  
Sajjad Lakzian
Keyword(s):  
Diameter Growth ◽  
Fundamental Groups ◽  
Finitely Generated ◽  
Finite Generation ◽  
Alexandrov Spaces ◽  
Geodesic Spaces ◽  
Special Case ◽  
Linear Diameter

AbstractIn this paper, we generalize the finite generation result of Sormani to non-branching RCD(0, N) geodesic spaces (and in particular, Alexandrov spaces) with full supportmeasures. This is a special case of the Milnor’s Conjecture for complete non-compact RCD(0, N) spaces. One of the key tools we use is the Abresch–Gromoll type excess estimates for non-smooth spaces obtained by Gigli–Mosconi.

Finite generation of Hochschild homology algebras

2000 ◽  
Vol 140 (1) ◽  
pp. 143-170 ◽  
Author(s):  
Luchezar L. Avramov ◽  
Srikanth Iyengar
Keyword(s):  
Hochschild Homology ◽  
Finite Generation

scholarly journals Finite generation of congruence preserving functions

2015 ◽  
Vol 181 (1) ◽  
pp. 35-62 ◽  
Author(s):  
Erhard Aichinger ◽  
Marijana Lazić ◽  
Nebojša Mudrinski
Keyword(s):  
Finite Generation ◽  
Congruence Preserving Functions

scholarly journals Finite generation of the cohomology of some skew group algebras

2014 ◽  
Vol 8 (7) ◽  
pp. 1647-1657 ◽  
Author(s):  
Van Nguyen ◽  
Sarah Witherspoon
Keyword(s):  
Group Algebras ◽  
Finite Generation ◽  
Skew Group Algebras

scholarly journals Generators and relations of Rees matrix semigroups

1999 ◽  
Vol 42 (3) ◽  
pp. 481-495 ◽  
Author(s):  
H. Ayik ◽  
N. Ruškuc
Keyword(s):  
Rees Matrix Semigroup ◽  
Finitely Generated ◽  
Finite Generation ◽  
Generators And Relations ◽  
Rees Matrix Semigroups ◽  
Finite Presentability ◽  
Matrix Semigroup ◽  
Finitely Presented ◽  
Matrix Semigroups ◽  
The Ideal

In this paper we consider finite generation and finite presentability of Rees matrix semigroups (with or without zero) over arbitrary semigroups. The main result states that a Rees matrix semigroup M[S; I, J; P] is finitely generated (respectively, finitely presented) if and only if S is finitely generated (respectively, finitely presented), and the sets I, J and S\U are finite, where U is the ideal of S generated by the entries of P.

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