TY - BOOK AU - Burris,Stanley AU - McKenzie,Ralph TI - Decidability and Boolean representations T2 - Memoirs of the American Mathematical Society, SN - 9781470406530 (online) AV - QA3QA251 .A57 no. 246 U1 - 510 s512 19 PY - 1981/// CY - Providence, R.I. PB - American Mathematical Society KW - Algebra, Universal KW - Decidability (Mathematical logic) KW - Algebraic varieties KW - Modular lattices KW - Representations of algebras N1 - Includes bibliographies; Part I. Decidable varieties with modular congruence lattices; 1. Overview; 2. Notation and very basic concepts; 3. Method of undecidability proofs; 4. Classification of varieties; 5. Prologue; 6. Boolean pairs; 7. Three constructions; 8. The commutator in modular varieties; 9. Decomposition; 10. The ring of an abelian variety; 11. Results on decidable varieties; 12. Groups and rings; 13. Epilogue; Part II. Boolean representable varieties; 1. Introduction; 2. Preliminaries; 3. Characterizations of Boolean representation; 4. Some useful facts; 5. Sub-Boolean powers of a quasi-primal algebra; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0246 UR - http://dx.doi.org/10.1090/memo/0246 ER -