A pseudobasis for an abstract algebra A is a subset X of A such that every mapping X into A extends uniquely to an endomorphism on A. A is minimally free if A has a pseudobasis. In this paper we look at how minimal freeness interacts with various notions of commutativity (e.g., “operational” commutativity in the algebra, usual commutativity in the endomorphism monoid of the algebra). One application is a complete classification of minimally free torsion abelian groups
AbstractWe examine free orientation-reversing group actions on orientable handlebodies, and free act...
We consider finitely generated free non-associative algebras, free commutative non-associative algeb...
AbstractIn this paper, we study algebraic structures defined by a presentation of the form 〈 A; ab =...
Apseudobasis for an abstract algebraA is a subsetX ofA such that every mappingX intoA extends unique...
ABSTRACT. A subset P of an abstract algebra A is a pseudobasis if every func-tion from P into A exte...
A subset P of an abstract algebra A is a pseudobasis if every function from P into A extends uniquel...
This thesis investigates those abelian groups which are minimal with respect to certain quasi-orders...
Rational homotopy theory is the study of uniquely divisible homotopy invariants. For each nilpotent ...
summary:The discrete algebras $A$ over a commutative ring $R$ which can be realized as the full endo...
Abstract. An Abelian group is pseudofree of rank if it belongs to the extended genus of Z, i.e., it...
For any set X and any variety V of algebras, let A = A_V(X) be the free algebra in V with set X of f...
This thesis deals with two topics. In Part I it is shown that if ZFC is consistent, then so is ZF...
We characterize Abelian groups with a minimal generating set: Let τ A denote the maximal torsion sub...
We study the existence of minimal generating sets in Abelian groups. We prove that Abelian groups wi...
An algebra A is said to be an independence algebra if it is a matroid algebra and every map α:X→A, d...
AbstractWe examine free orientation-reversing group actions on orientable handlebodies, and free act...
We consider finitely generated free non-associative algebras, free commutative non-associative algeb...
AbstractIn this paper, we study algebraic structures defined by a presentation of the form 〈 A; ab =...
Apseudobasis for an abstract algebraA is a subsetX ofA such that every mappingX intoA extends unique...
ABSTRACT. A subset P of an abstract algebra A is a pseudobasis if every func-tion from P into A exte...
A subset P of an abstract algebra A is a pseudobasis if every function from P into A extends uniquel...
This thesis investigates those abelian groups which are minimal with respect to certain quasi-orders...
Rational homotopy theory is the study of uniquely divisible homotopy invariants. For each nilpotent ...
summary:The discrete algebras $A$ over a commutative ring $R$ which can be realized as the full endo...
Abstract. An Abelian group is pseudofree of rank if it belongs to the extended genus of Z, i.e., it...
For any set X and any variety V of algebras, let A = A_V(X) be the free algebra in V with set X of f...
This thesis deals with two topics. In Part I it is shown that if ZFC is consistent, then so is ZF...
We characterize Abelian groups with a minimal generating set: Let τ A denote the maximal torsion sub...
We study the existence of minimal generating sets in Abelian groups. We prove that Abelian groups wi...
An algebra A is said to be an independence algebra if it is a matroid algebra and every map α:X→A, d...
AbstractWe examine free orientation-reversing group actions on orientable handlebodies, and free act...
We consider finitely generated free non-associative algebras, free commutative non-associative algeb...
AbstractIn this paper, we study algebraic structures defined by a presentation of the form 〈 A; ab =...
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