Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

$h$-Amalgamation bases in the Class of non trivial abelian groups

Mohammed Belkasmi

Abstract

In this paper we give a complete description of the $h$-amalgamation bases in the class of non trivial abelian groups.

$h$-Amalgamation bases in the Class of non trivial abelian groups

Abstract

In this paper we give a complete description of the -amalgamation bases in the class of non trivial abelian groups.
Paper Structure (2 sections, 5 theorems, 10 equations)

This paper contains 2 sections, 5 theorems, 10 equations.

Table of Contents

  1. Positive theory of non trivial abelian groups
  2. h-Amalgamation

Key Result

Lemma 1

Let $(G,g), (K, k)$ and $(L, l)$ be three models of $T_{ab}^*$. Let $f$ be a $L^*$-homomorphism from $(G,g)$ to $(K, k)$ and $h$ a $L^*$-homomorphism from $(G,g)$ to $(L, l)$. The following assertions are equivalent:

Theorems & Definitions (8)

  • Definition 1
  • Remark 1
  • Lemma 1
  • Lemma 2
  • Corollary 1
  • Example 1
  • Theorem 1
  • Lemma 3