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Snow mountain passage: a novel of the Donner Party
2001, Harcourt, Inc
in English
- 1st. Harvest ed.
0156011433 9780156011433
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Snow Mountain passage: a novel of the Donner party
2001, Alfred A. Knopf
in English
0375411038 9780375411038
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Book Details
Published in
San Diego
Table of Contents
Machine generated contents note: 1 Basic Concepts 1
1.1 Algebras1
1.2 Examples4
1.3 Subalgebras13
1.4 Congruence Relations and Quotients21
1.5 Exercises27
2 Galois Connections and Closures 31
2.1 Closure Operators 32
2.2 Galois Connections37
2.3 Concept Analysis 42
2.4 Exercises44
3 Homomorphisms and Isomorphisms 47
3.1 The Homomorphism Theorem49
3.2 The Isomorphism Theorems 58
3.3 Exercises61
4 Direct and Subdirect Products 63
4.1 Direct Products63
4.2 Subdirect Products 68
4.3 Exercises72
5 Terms, Trees, and Polynomials 75
5.1 Terms and Trees 76
5.2 Term Operations82
5.3 Polynomials and Polynomial Operations85
5.4 Exercises88
6 Identities and Varieties 91
6.1 The Galois Connection (Id, Mod)91
6.2 Fully Invariant Congruence Relations95
6.3 The Algebraic Consequence Relation97
6.4 Relatively Free Algebras98
6.5 Varieties101
6.6 The Lattice of All Varieties109
6.7 Finite Axiomatizability110
6.8 Exercises113
7 Term Rewriting Systems 115
7.1 Confluence116
7.2 Reduction Systems123
7.3 Term Rewriting129
7.4 Termination of Term Rewriting Systems141
7.5 Exercises145
8 Algebraic Machines 147
8.1 Regular Languages148
8.2 Finite Automata150
8.3 Algebraic Operations on Finite Automata159
8.4 Tree Recognizers165
8.5 Regular Tree Grammars169
8.6 Operations on Tree Languages174
8.7 Minimal Tree Recognizers176
8.8 Tree Transducers 182
8.9 Turing Machines185
8.10 Undecidable Problems187
8.11 Exercises191
9 Mal'cev-Type Conditions 193
9.1 Congruence Permutability193
9.2 Congruence Distributivity195
9.3 Arithmetical Varieties201
9.4 n-Modularity and n-Permutability203
9.5 Congruence Regular Varieties205
9.6 Two-Element Algebras206
9.7 Exercises 213
10 Clones and Completeness 215
10.1 Clones as Algebraic Structures215
10.2 Operations and Relations217
10.3 The Lattice of All Boolean Clones219
10.4 The Functional Completeness Problem228
10.5 Primal Algebras231
10.6 Different Generalizations of Primality240
10.7 Preprimal Algebras245
10.8 Exercises249
11 Tame Congruence Theory 251
11.1 Minimal Algebras 251
11.2 Tame Congruence Relations262
11.3 Permutation Algebras269
11.4 The Types of Minimal Algebras276
11.5 Mal'cev Conditions and Omitting Types281
11.6 Residually Small Varieties286
11.7 Exercises287
12 Term Condition and Commutator 289
12.1 The Term Condition 289
12.2 The Commutator293
12.3 Exercises299
13 Complete Sublattices 301
13.1 Conjugate Pairs of Closure Operators301
13.2 Galois Closed Subrelations308
13.3 Closure Operators on Complete Lattices316
13.4 Exercises323
14 G-Clones and M-Solid Varieties 325
14.1 G-Clones 325
14.2 H-clones331
14.3 M-Solid Varieties334
14.4 Intervals in the Lattice (T)342
14.5 Exercises345
15 Hypersubstitutions and Machines 347
15.1 The Hyperunification Problem347
15.2 Hyper Tree Recognizers349
15.3 Tree Transformations357
15.4 Exercises361.
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