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Quick Math Intuitions

Sharing quick intuitions for math ideas

Category: Algebra

A gentle (and short) introduction to Gröbner Bases

Stefano Ottolenghi2020-06-032020-06-030

Taken from my report for a Computer Algebra course. Motivation We know there are plenty of methods to solve a system of linear equations (to name a few: Gauss elimination,…

But WHY is the Lattices Bounded Distance Decoding Problem difficult?

Stefano Ottolenghi2019-05-082019-10-070

This is taken from my Master Thesis on Homomorphic Signatures over Lattices. Introduction to lattices and the Bounded Distance Decoding Problem A lattice is a discrete subgroup , where the…

Relationship between reduced rings, radical ideals and nilpotent elements

Stefano Ottolenghi2016-09-172016-10-011

This post aims at providing some intuition and meaning for the following algebra relationship: Reduced ring – Radical ideal – Nilpotent Reduced ring – Radical ideal – Nilpotent A basic…

Intuition image

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