Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Hobby D., McKenzie R. — The Structure of Finite Algebras
Hobby D., McKenzie R. — The Structure of Finite Algebras

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: The Structure of Finite Algebras

Авторы: Hobby D., McKenzie R.

Аннотация:

The utility of congruence lattices in revealing the structure of general algebras has been recognized since Garrett Birkhoff's pioneering work in the 1930s and 1940s. However, the results presented in this book are of very recent origin: most of them were developed in 1983. The main discovery presented here is that the lattice of congruences of a finite algebra is deeply connected to the structure of that algebra. The theory reveals a sharp division of locally finite varieties of algebras into six interesting new families, each of which is characterized by the behavior of congruences in the algebras. The authors use the theory to derive many new results that will be of interest not only to universal algebraists, but to other algebraists as well.
The authors begin with a straightforward and complete development of basic tame congruence theory, a topic that offers great promise for a wide variety of investigations. They then move beyond the consideration of individual algebras to a study of locally finite varieties. A list of open problems closes the work.


Язык: en

Рубрика: Математика/Алгебра/Абстрактная алгебра/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1988

Количество страниц: 203

Добавлена в каталог: 19.03.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
$\sigma$-closed relation      84
0,1-separating homomorphism      20
0,1-simple      20
1-snag      113
2-snag      113
Abelian      40
Abelian over      42
Abelian type      77
Absorbing element      56
Algebra      5
Algebra, $(\delta, \theta)$-minimal      34
Algebra, basic operations of      5
Algebra, E-minimal      34 65 67
Algebra, indexed      5
Algebra, induced      6 26
Algebra, minimal      34 47
Algebra, non-indexed      5
Algebra, simple      11
Algebra, subdirectly irreducible      11
atom      19
Atomic Boolean pairs      156 157
Basic tolerance      84
Berman, J.      163 165
Birkhoff, G.      1
Birkhoff, G., the HSP-theorem      13
Birkhoff, G., the subdirect representation theorem      12
BLOCKS      8
body      34
Cartesian power      5
Cartesian product      7
Center      41
Centralizes      41
Clone      6
Commutator      42
Compact      11
Comparable      9
composition      6
Congruence(s)      8 9 11
Congruence(s), finitely generated      11
Congruence(s), lattice of      10
Connected tolerance      19
Converse relation      8
covers      9 19
Czedli, G.      143
Davey, B.A.      112
Decidable variety      155
Decreasing      17
Depends on      45
Diagonal subalgebra      101
Discriminator variety      156
Dual atom      19
Equivalence class      8
Extension of A by S      101
Finite subdirect powe equation      13
Finite subdirect power      107
Free algebra      12 13
Free spectrum      163
Freese, R.      143
Gratzer, G.      5 11
Gumm, H.P.      120 125
Hagemann, J.      140
Hasse diagram      9 93
Homomorphism      7
Ideal      32
Idempotent function      25
Idempotent variety      132
Identity      13
Increasing      17
Interpretable      130
Isomorphism      7
Join endomorphism      17
Join operation      10
Join semi-distributive      82
Jonsson, В.      125 143
L-algebra      12
Language      12
Lattice      9
Lattice of interpretability      131
Lattice of partitions      10
Lattice of subvarieties      58
Lattice, algebraic      11
Lattice, bounded      104
Lattice, complete      10
Lattice, distributive      10
Lattice, finitely projective      106
Lattice, modular      10
Lattice, semi-distributive      82
Lavrov, I.A.      155
Local ring      174
Locally finite algebra      14
Locally finite variety      14
Locally solvable      114
Loop      128
Mal'cev, A.I.      14
Marcev('s) algebra      47
Marcev('s) class (idempotent, special)      131
Marcev('s) condition      131
Marcev('s) equations      15
Marcev('s) operation      47
Matrix power      44
Meet endomorphism      17
Meet operation      10
Meet semi-distributive      82
Minimal algebra      34
Minimal set      28 31 168
Mitschke, A.      140
Model      12
Monolith      11
n-permutable      140
Nation, J.B.      112 143
Neumann, H.      163
Neumann, W.      131
Neutral element      56
Nilpotent algebra      68
Non-Abelian types      77
Normal indexing      101
Omitting types theorems      72
Operation, basic      5
Operation, binary      5
Operation, finitary      5
Operation, n-ary      5
Operation, polynomial      6
Operation, symbol      12
Operation, term      6
Operation, unary      5
Orderable algebra      172
Palfy, P.P.      1 26 30 34 47 73 170
Partially ordered set      9
Partition      8 10
Permutational algebra      31 34
Permuting relations      14
Pixley, A.F.      143
Polarity      17
Polin, S.V.      146
Polynomial clone      6
Polynomial equivalence      9
Polynomial isomorphism      28
Post, E.L.      51
Pre-order      87
Pre-primal      154
Prime quotient      28
PRODUCT      7
Projective quotients      112
Pseudo-complement      81 82
Pseudo-join operation      58
Pseudo-Mal'cev operation      62
Pseudo-meet operation      58
Pudlak, P.      1 26 30
Quasigroup      47
Quotient algebra      8
Quotient in a lattice      28
Reduct      170
Relation(s), admissible      8
Relation(s), congruence      8
Relation(s), converse of a      8
Relation(s), equivalence      8
Relation(s), reflexive, symmetric, transitive      8
Relation(s), relational product of      8
Residually large variety      147
Residually small variety      147
Restriction of functions and relations      26
Rival, I.      143
Salomaa, A.      45
Sands, В.      112
Schmidt, E.T.      11
Semi-distributive      82
Semilattice      53 56 100 104
Shallon, C.      189
Similar algebras      6
solvable      42 113
Special Mal'cev conditions      132
Spectrum (free) of a variety      163
Strongly Abelian      43
Strongly solvable      43
Subalgebra      7
Subdirect product      11
Subdirect representation theorem      12
Subdirectly irreducible algebra      11
Subreduct      170
Subuniverse      7
tail      34
Tame algebra      71 168
Tame quotient      28
Taylor, W.      130
Term      12
Tight lattice      20
Tolerance      8 17
Trace      34
Type of $(\delta, \theta)$-minimal algebra      62
Type of E-minimal algebra      67
Type of minimal algebra      53
Type of tame algebra      71
Type of tame quotient      71
Type set of algebra      71
Type set of quotient      71
Type set of variety      100
Valeriote, M.      162
Variable      13
Varieties      13
Varieties, congruence-modular or -distributive      125
Varieties, decidable      155
Varieties, finitely generated      14
Varieties, finitely presented      131
Varieties, idempotent      132
Varieties, locally finite      14
Varieties, residually small      147
Varieties, special      132
Weakly isomorphic      169
Wille, R.      143
Zamyatin, A.P.      155
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте