AbstractWe construct, under CH, a homogeneous Boolean algebra A such that A has a countable dense subalgebra and cardinality ω1 and the automorphism group of A is not simple. Under MA+ω1<2ω, the automorphism group of such an algebra is simple. Moreover, we prove that the automorphism group of any infinite free Boolean algebra is simple
This work is concerned with some questions which arise in the study of endomorphism monoids of Boole...
This work is concerned with some questions which arise in the study of endomorphism monoids of Boole...
The purpose of this paper is to show that the automorphism groups of many of the `cycle-free' p...
AbstractWe construct, under CH, a homogeneous Boolean algebra A such that A has a countable dense su...
AbstractIn this article we consider homogeneity properties of Boolean algebras that have nonprincipa...
AbstractIn this article we consider homogeneity properties of Boolean algebras that have nonprincipa...
Abstract. This article is devoted to two different generalizations of projective Boolean algebras: o...
Abstract. This article is devoted to two different generalizations of projective Boolean algebras: o...
AbstractTheorem A⋄ℵ1There is a Boolean algebra B with the following properties:(1)B is thin–tall, an...
AbstractWe study L∞κ-freeness in the variety of Boolean algebras. It is shown that some of the theor...
AbstractWe show that the group of trivial automorphisms of P(ω)/fin is not simple. Via a result of S...
An algebra A is homogeneous if the automorphism group of A acts transitively on the one dimensional ...
This work is concerned with some questions which arise in the study of endomorphism monoids of Boole...
The aim of this paper is to show that every infinite Boolean algebra which admits a countable minima...
This work is concerned with some questions which arise in the study of endomorphism monoids of Boole...
This work is concerned with some questions which arise in the study of endomorphism monoids of Boole...
This work is concerned with some questions which arise in the study of endomorphism monoids of Boole...
The purpose of this paper is to show that the automorphism groups of many of the `cycle-free' p...
AbstractWe construct, under CH, a homogeneous Boolean algebra A such that A has a countable dense su...
AbstractIn this article we consider homogeneity properties of Boolean algebras that have nonprincipa...
AbstractIn this article we consider homogeneity properties of Boolean algebras that have nonprincipa...
Abstract. This article is devoted to two different generalizations of projective Boolean algebras: o...
Abstract. This article is devoted to two different generalizations of projective Boolean algebras: o...
AbstractTheorem A⋄ℵ1There is a Boolean algebra B with the following properties:(1)B is thin–tall, an...
AbstractWe study L∞κ-freeness in the variety of Boolean algebras. It is shown that some of the theor...
AbstractWe show that the group of trivial automorphisms of P(ω)/fin is not simple. Via a result of S...
An algebra A is homogeneous if the automorphism group of A acts transitively on the one dimensional ...
This work is concerned with some questions which arise in the study of endomorphism monoids of Boole...
The aim of this paper is to show that every infinite Boolean algebra which admits a countable minima...
This work is concerned with some questions which arise in the study of endomorphism monoids of Boole...
This work is concerned with some questions which arise in the study of endomorphism monoids of Boole...
This work is concerned with some questions which arise in the study of endomorphism monoids of Boole...
The purpose of this paper is to show that the automorphism groups of many of the `cycle-free' p...
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