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A second note on homological systems

Jesús Efrén Pérez Terrazas, Luis Fernando Tzec Poot

Abstract

Let $\left( Δ; Ω, \leq \right)$ be a b-homological system and $\widetilde{\cal F} \left( Δ\right)$ the category of the extended $Δ-$filtered modules. Here there is a proof that $\widetilde{\cal F} \left( Δ\right)$ is closed under direct summands.

A second note on homological systems

Abstract

Let be a b-homological system and the category of the extended filtered modules. Here there is a proof that is closed under direct summands.
Paper Structure (2 sections, 9 theorems, 9 equations)

This paper contains 2 sections, 9 theorems, 9 equations.

Table of Contents

  1. Introduction
  2. Pre-orders and filtrations

Key Result

Lemma 2.1

$\,$

Theorems & Definitions (20)

  • Lemma 2.1
  • Lemma 2.2
  • Example 2.3
  • Example 2.4
  • Definition 2.5
  • Remark 2.6
  • Definition 2.7
  • Remark 2.8
  • Example 2.9
  • Example 2.10
  • ...and 10 more