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| Haley D.K. — Equational Compactness in Rings With Applications to the Theory of Topological Rings |
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| Предметный указатель |
Algebra, type 13
Algebra, universal 13
algebraic 18
Algebraic system 13
Algebraic system, compact 29
Algebraic system, compact topological 29
Algebraically compact 44
Artinian ring 42 53ff
Atomic compact 29
Atomic formula 15
Boolean algebra 90
Boolean extension (power) 90
Chromatic number 140
Chromatic number of graph 140
Closed 33
Closure 38
Compact 18
Compact, algebraic system 29
Compact, algebraically 44
Compact, atomic 29
Compact, equationally 29
Compact, positively 29
Compactification 38
Complete graph 140
Congruence 18
Congruence, compact 18
CYCLE 140
Discriminator 96
Discriminator, variety 96
Elementary embedding 23
Elementary extension 23
Elementary subsystem 23
Embedding 15
Embedding, diagonal 27
Embedding, elementary 23
Endomorphism 15
Epimorphism 15
Equational class 17
Equational class, arithmetic 97
Equational compactness 29
Extension 14
Extension, Boolean 90
Extension, elementary 23
Extension, essential 132
Filter 24
Filter, congruence 25
Filter, principal 24
Filter-congruence 25
First order language 21
Formula, atomic 15
Formula, equivalence 22
Formula, first order 21
Formula, positive 21
Girth of graph 140
Graph 140
Heart of ring, subdirectly irreducible 53
Homomorphism 14
Injective 122ff
Injective hull 132
Injective, residually 125
Isomorphism 15
Jacobson radical 42
L-compact 29
m-ring 98
Model class 17
Monomorphism 15
Mycielski question 30 139ff
Noetherian ring 42 67ff
Normal transform 96
Partition 152
Partition of formula 152
Path 140
| Polynomial equation 16
Polynomial identity 17
Polynomial symbol 16
Polynomial with constants 16
Positive formula 21
Positively compact 29
Principal filter 24
PRODUCT 15
Product, reduced 25
Product, subdirect 15
Pruefer group 53
Pure subsystem 19
Pure-injective 31
Quasi-compactification 38
Quasi-compactification of algebraic system 38
Quasi-primal 96
Reduced power 25
Reduced product 25
Reduct 20
Reduct, equivalence 20
Reduct, strong 20
Relational predicate 16
Relational predicate with constants 16
Relative solvability, property 29
Residually injective 125
Restriction of filter 25
retract 15
Retract, absolute 15
Ring with A.C.C. 42 76ff
Ring with identity 14
Ring with socle 58
Ring, Artinian 42 53ff
Ring, boolean 20
Ring, characteristic of 42
Ring, Noetherian 42 67ff
Ring, primitive 65
Ring, radical 65
Ring, semisimple 42
Ring, simple 53ff
Ring, unital 14
Ring, zero 20
Sentence 22
Solution of formula 19
solvable 19
Solvable, finitely 22
Spec 101
Stone space 90
Structure topology 33
Structure-topology 33
Sub-system 13
Subdirect product 15
Subdirectly irreducible 18
Subreduct 20
Subsystem 14
Subsystem, elementary 23
Subsystem, pure 19
System, algebraic 13
Topological algebraic system 29
Topological compactness 29
Topology for algebraic system 29
Topology for an algebraic system 29
TYPE 13
Ultra-filter 24
Ultrafilter 24
Ultrapower 25
Ultraproduct 25
Variable, bound 22
Variable, finitely bounded 151
Variable, free 22
Variety 17
Variety, discriminator 96
Variety, quasi-primal 96
Weglorz problem 39
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