scholarly journals An extension of a theorem of Frobenius and Stickelberger to modules of projective dimension one over a factorial domain

2019 ◽  
Vol 223 (2) ◽  
pp. 626-633
Author(s):  
Joseph P. Brennan ◽  
Alexander York
Keyword(s):  
Projective Dimension ◽  
Factorial Domain ◽  
Dimension One

scholarly journals Core of projective dimension one modules

2003 ◽  
Vol 111 (4) ◽  
pp. 427-433 ◽  
Author(s):  
Alberto Corso ◽  
Claudia Polini ◽  
Bernd Ulrich
Keyword(s):  
Projective Dimension ◽  
Dimension One

scholarly journals Morse resolutions of powers of square-free monomial ideals of projective dimension one

2021 ◽  
Author(s):  
Susan M. Cooper ◽  
Sabine El Khoury ◽  
Sara Faridi ◽  
Sarah Mayes-Tang ◽  
Susan Morey ◽  
...  
Keyword(s):  
Projective Dimension ◽  
Monomial Ideals ◽  
Dimension One

scholarly journals Exact solutions for the total variation denoising problem of piecewise constant images in dimension one

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Riccardo Cristoferi
Keyword(s):  
Exact Solution ◽  
Exact Solutions ◽  
Total Variation ◽  
Piecewise Constant ◽  
Geometrical Properties ◽  
Total Variation Denoising ◽  
Fidelity Term ◽  
Dimension One

AbstractA method for obtaining the exact solution for the total variation denoising problem of piecewise constant images in dimension one is presented. The validity of the algorithm relies on some results concerning the behavior of the solution when the parameter λ in front of the fidelity term varies. Albeit some of them are well-known in the community, here they are proved with simple techniques based on qualitative geometrical properties of the solutions.

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