Notes on Jordan type of an Artinian algebra

Pedro Macias Marques

doi:10.2478/aupcsm-2025-0003

September 1, 2025Annales Universitatis Paedagogicae Cracoviensis Studia MathematicaOpen Access

Notes on Jordan type of an Artinian algebra

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Key Points

Jordan type is a concept within Artinian algebra related to Lefschetz properties, highlighting its geometric complexity.
Key insights illustrate how algebraic frameworks merge with topology, impacting combinatorial outcomes in this field.
Exploration of established results in Jordan type focuses on foundational examples that solidify understanding.
These notes call for further examination of geometric implications within algebraic structures, marking an evolving exploration.

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Implication

Notes explore Jordan type in Artinian algebra, highlighting geometric and combinatorial aspects in algebraic structures.

Abstract

These notes were made for the Preparatory School on Lefschetz Properties, held from 6th to 10th May 2024, in Kraków, ahead of the conference “Lefschetz properties in algebra, geometry, topology, and combinatorics”. They are a short introduction to Jordan type of an Artinian algebra, and collect basic results known so far, with examples to illustrate them along the way.

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Pedro Macias Marques (2025) studied this question.

synapsesocial.com/papers/692e3da16c9b3ab28c187cb0 https://doi.org/10.2478/aupcsm-2025-0003

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Notes on Jordan type of an Artinian algebra

Key Points

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Implication

Abstract

Discussion

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Notes on Jordan type of an Artinian algebra

Key Points

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Implication

Abstract

Discussion

Cite This Study

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