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**Commutator Theory for Congruence Modular Varieties ** written by
** Ralph Freese and Ralph McKenzie **.

**Book Detail :- **
** Title: ** Commutator Theory for Congruence Modular Varieties
** Edition: **
** Author(s): ** Ralph Freese, Ralph McKenzie
** Publisher: ** Jones & Bartlett Pub
** Series: **
** Year: **
** Pages: ** 178
** Type: ** PDF
** Language: ** English
** ISBN: **
** Country: **

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**Commutator Theory for Congruence Modular Varieties ** written by
** Ralph Freese and Ralph McKenzie **
cover the following topics.

Introduction

1. The Commutator in Groups and Rings

2. Universal Algebra

3. Several Commutators

4. One Commutator in Modular Varieties;Its Basic Properties

5. The Fundamental Theorem on Abelian Algebras

P. Ermutability and a Characterization ofModular Varieties

6. The Center and Nilpotent Algebras

7. Congruence Identities

8. Rings Associated With Modular Varieties: Abelian Varieties

9. Structure and Representationin Modular Varieties

10. Birkhoff-J´onsson Type Theorems For Modular Varieties, Subdirectly Irreducible Algebras inFinitely Generated Varieties, Residually Small Varieties, Chief Factors and Simple Algebras, Exercises

11. Joins and Products of Modular Varieties

12. Strictly Simple Algebras

13. Mal’cev Conditions for Lattice Equations, Exercises

14. A Finite Basis Result

15. Pure Lattice Congruence Identities

Solutions To The Exercises

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