Wyniki wyszukiwania

1

Prenormality of ideals and completeness of their quotient algebras

100%

Morawiec A., Węglorz B.

Colloquium Mathematicum

|

1993

|

tom 64

|

nr 1

19-27

EN

It is well known that if a nontrivial ideal ℑ on κ is normal, its quotient Boolean algebra P(κ)/ℑ is $κ^+$-complete. It is also known that such completeness of the quotient does not characterize normality, since P(κ)/ℑ turns out to be $κ^+$-complete whenever ℑ is prenormal, i.e. whenever there exists a minimal ℑ-measurable function in $^{κ}κ$. Recently, it has been established by Zrotowski (see [Z1], [CWZ] and [Z2]) that for non-Mahlo κ, not only is the above condition sufficient but also necessary for P(κ)/ℑ to be $κ^+$-complete. In the present note we are going to visualize that Zrotowski's result is a consequence of the Boolean structure of P(κ) exclusively, rather than of its other particular properties.

2

A note on "Atomic compactness in $ℵ_1$-categorical Horn theories" by John T. Baldwin

79%

Węglorz B.

Fundamenta Mathematicae

|

1976

|

tom 93

|

nr 3

181-183

3

Homogeneity, universality and saturatedness of limit reduced powers (II)

69%

Węglorz B.

Fundamenta Mathematicae

|

1977

|

tom 94

|

nr 1

13-23

4

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

On powers of bases in some compact algebras

61%

Fajtlowicz S., Holsztyński W., Mycielski J., Węglorz B.

Colloquium Mathematicum

|

1968

|

tom 19

|

nr 1

43-46

5

On intersections of sets of positive Lebesgue measure

60%

Cichoń J., Szymański A., Węglorz B.

Colloquium Mathematicum

|

1987

|

tom 52

|

nr 2

173-174

6

Compactness and homomorphisms of algebraic structures

50%

Ryll-Nardzewski C., Węglorz B.

Colloquium Mathematicum

|

1967

|

tom 18

|

nr 1

233-237

7

Summability of pure extensions of relational structures

50%

Węglorz B., Wojciechowska A.

Colloquium Mathematicum

|

1968

|

tom 19

|

nr 1

27-35

8

Topologically compact structures and positive formulas

50%

Pacholski L., Węglorz B.

Colloquium Mathematicum

|

1968

|

tom 19

|

nr 1

37-42

9

An addition to "Substructures of reduced powers"

50%

Węglorz B.

Fundamenta Mathematicae

|

1976

|

tom 92

|

nr 3

209-211

10

A note on automorphisms and partitions

50%

Węglorz B.

Colloquium Mathematicum

|

1988

|

tom 55

|

nr 1

1-4

11

Boolean-valued selectors for families of sets

50%

Węglorz B.

Fundamenta Mathematicae

|

1974-1975

|

tom 86

|

nr 2

101-116

12

A representation theorem for Post-like algebras

50%

Węglorz B.

Colloquium Mathematicum

|

1970-1971

|

tom 22

|

nr 1

35-39

13

Completeness and compactness of lattices

40%

Węglorz B.

Colloquium Mathematicum

|

1967

|

tom 16

|

nr 1

243-248

14

Some preservation theorems (II)

40%

Węglorz B.

Colloquium Mathematicum

|

1969

|

tom 20

|

nr 1

23-26

15

Substructures of reduced powers

40%

Węglorz B.

Fundamenta Mathematicae

|

1975

|

tom 89

|

nr 3

191-197

16

Equationally compact algebras (III)

40%

Węglorz B.

Fundamenta Mathematicae

|

1967

|

tom 60

|

nr 1

89-93

17

Nerves and set-theoretical independence

40%

Węglorz B.

Colloquium Mathematicum

|

1964

|

tom 13

|

nr 1

17-19

18

Equationally compact algebras (I)

40%

Węglorz B.

Fundamenta Mathematicae

|

1966

|

tom 59

|

nr 3

289-298

19

Some remarks on selectors

40%

Węglorz B.

Fundamenta Mathematicae

|

1972-1973

|

tom 77

|

nr 3

295-304

20

Some preservation theorems

35%

Węglorz B.

Colloquium Mathematicum

|

1967

|

tom 17

|

nr 2

269-276

Ograniczanie wyników

Prenormality of ideals and completeness of their quotient algebras

A note on "Atomic compactness in $ℵ_1$-categorical Horn theories" by John T. Baldwin

Homogeneity, universality and saturatedness of limit reduced powers (II)

On powers of bases in some compact algebras

On intersections of sets of positive Lebesgue measure

Compactness and homomorphisms of algebraic structures

Summability of pure extensions of relational structures

Topologically compact structures and positive formulas

An addition to "Substructures of reduced powers"

A note on automorphisms and partitions

Boolean-valued selectors for families of sets

A representation theorem for Post-like algebras

Completeness and compactness of lattices

Some preservation theorems (II)

Substructures of reduced powers

Equationally compact algebras (III)

Nerves and set-theoretical independence

Equationally compact algebras (I)

Some remarks on selectors

Some preservation theorems