Congruence Lattices of Finite Algebras by William DeMeo

Congruence Lattices of Finite Algebras

Congruence Lattices of Finite Algebras by William DeMeo
Publisher: arXiv 2012
Number of pages: 130
In this work, we review a number of methods for finding a finite algebra with a given congruence lattice, including searching for intervals in subgroup lattices. We also consider methods for proving that algebras with a given congruence lattice exist without actually constructing them. By combining these well known methods with a new method we have developed, we prove that with one possible exception every lattice with at most seven elements is isomorphic to the congruence lattice of a finite algebra.
Mathematics Abstract Algebra Group Theory

Go To Read/Download Page

Home Page

More Free E-Books For Group Theory

Similar Books For Group Theory

1. An Introduction to the Theory of Groups of Finite Order by Harold Hilton
2. Thin Groups and Superstrong Approximation by Emmanuel Breuillard, Hee Oh (eds.)
3. Groups and Semigroups: Connections and Contrasts by John Meakin
4. Theory and Applications of Finite Groups by G. A. Miller, H. F. Blichfeldt, L. E. Dickson
5. An Introduction to Group Theory: Applications to Mathematical Music Theory by Flor Aceff-Sanchez, et al.
6. Theory of Groups of Finite Order by William Burnside
7. Frobenius Splittings and B-Modules by Wilberd van der Kallen
8. Congruence Lattices of Finite Algebras by William DeMeo
9. Lectures on Topics In The Theory of Infinite Groups by B.H. Neumann
10. Lectures on Semi-group Theory and its Application to Cauchy's Problem in Partial Differential Equations by K. Yosida
11. Finite Group Schemes by Richard Pink
12. Galois Groups and Fundamental Groups by David Meredith
13. Representation Theory of Compact Groups by Michael Ruzhansky, Ville Turunen
14. Lectures on Algebraic Groups by Alexander Kleshchev
15. Geometry and Group Theory by Christopher Pope
16. Elements of Group Theory by F. J. Yndurain
17. Interval Groupoids by W. B. V. Kandasamy, F. Smarandache, M. K. Chetry
18. Finite Rank Torsion Free Modules Over Dedekind Domains by E. Lee Lady
19. Lie groups and Lie algebras by N. Reshetikhin, V. Serganova, R. Borcherds
20. Why are Braids Orderable? by Patrick Dehornoy, at al.
21. Introduction to Lie Groups and Lie Algebras by Alexander Kirillov, Jr.
22. Algebraic Groups, Lie Groups, and their Arithmetic Subgroups by J. S. Milne
23. Introduction to Arithmetic Groups by Dave Witte Morris
24. Smarandache Semigroups by W. B. Vasantha Kandasamy
25. Groupoids and Smarandache Groupoids by W. B. Vasantha Kandasamy
26. Group Theory by J. S. Milne
27. Groups as Graphs by W. B. V. Kandasamy, F. Smarandache
28. Galois Groups and Fundamental Groups by Leila Schneps
29. Groups: Presentations and Representations by Christopher Cooper
30. Group theory for Maths, Physics and Chemistry by Arjeh Cohen, Rosane Ushirobira, Jan Draisma
31. Group Theory by Ferdi Aryasetiawan
32. Symmetry Groups and Their Applications by Willard Miller
33. An Elementary Introduction to Groups and Representations by Brian C. Hall
34. Notes on Categories and Groupoids by P. J. Higgins
35. Combinatorial Group Theory by Charles F. Miller III
36. Group Characters, Symmetric Functions, and the Hecke Algebra by David M. Goldschmidt
37. Introduction to Groups, Invariants and Particles by Frank W. K. Firk
38. Group Theory: Birdtracks, Lie's, and Exceptional Groups by Predrag Cvitanovic

Congruence Lattices of Finite Algebras by William DeMeo