Results 1  10
of
745
Homomorphic Images and their Isomorphism Types
, 2014
"... In this thesis we have presented original homomorphic images of permutations and monomial progenitors. In some cases we have used the double coset enumeration technique to construct the images and for all of the homomorphic images that we have discovered, the isomorphism type of each group is given ..."
Abstract
 Add to MetaCart
In this thesis we have presented original homomorphic images of permutations and monomial progenitors. In some cases we have used the double coset enumeration technique to construct the images and for all of the homomorphic images that we have discovered, the isomorphism type of each group
Homomorphic Images And Related Topics
, 2015
"... We will explore progenitors extensively throughout this project. The progenitor, developed by Robert T Curtis, is a special type of infinite group formed by a semidirect product of a free group m∗n and a transitive permutation group of degree n. Since progenitors are infinite, we add necessary rela ..."
Abstract
 Add to MetaCart
relations to produce finite homomorphic images. Curtis proved that any nonabelian simple group is a homomorphic image of a progenitor of the form 2∗n: N. In particular, we will investigate progenitors that generate two of the Mathieu sporadic groups, M11 and M22, as well as some classical groups. We
Homomorphic images of Rfactorizable groups
 COMMENT.MATH.UNIV.CAROLIN. 47,3 (2006)525–537
, 2006
"... It is well known that every Rfactorizable group is ωnarrow, but not vice versa. One of the main problems regarding Rfactorizable groups is whether this class of groups is closed under taking continuous homomorphic images or, alternatively, whether every ωnarrow group is a continuous homomorphi ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
It is well known that every Rfactorizable group is ωnarrow, but not vice versa. One of the main problems regarding Rfactorizable groups is whether this class of groups is closed under taking continuous homomorphic images or, alternatively, whether every ωnarrow group is a continuous
Homomorphic images of pronilpotent algebras
"... Abstract. It is shown that any finitedimensional homomorphic image of an inverse limit of nilpotent notnecessarilyassociative algebras over a field is nilpotent. More generally, this is true of algebras over a general commutative ring k, with “finitedimensional” replaced by “of finite length as a ..."
Abstract

Cited by 3 (3 self)
 Add to MetaCart
Abstract. It is shown that any finitedimensional homomorphic image of an inverse limit of nilpotent notnecessarilyassociative algebras over a field is nilpotent. More generally, this is true of algebras over a general commutative ring k, with “finitedimensional” replaced by “of finite length
A DIGRAPH EQUATION FOR HOMOMORPHIC IMAGES
, 1986
"... ABSTRACT. The definitions of a homomorphism and a contraction of a graph are generalized to digraphs. Solutions are given to the graph equation (D) e(D ..."
Abstract
 Add to MetaCart
ABSTRACT. The definitions of a homomorphism and a contraction of a graph are generalized to digraphs. Solutions are given to the graph equation (D) e(D
Homomorphic Images Of An Infinite Product Of ZeroDimensional Rings
"... . Let R = Q a2A Ra be an infinite product of zerodimensional chained rings. It is known that R is either zerodimensional or infinitedimensional. We prove that a finitedimensional homomorphic image of R is of dimension at most one. If each Ra is a PIR and if R is infinitedimensional, then R ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
. Let R = Q a2A Ra be an infinite product of zerodimensional chained rings. It is known that R is either zerodimensional or infinitedimensional. We prove that a finitedimensional homomorphic image of R is of dimension at most one. If each Ra is a PIR and if R is infinite
VARIETIES WHOSE TOLERANCES ARE HOMOMORPHIC IMAGES OF THEIR CONGRUENCES
, 2012
"... The homomorphic image of a congruence is always a tolerance (relation) but, within a given variety, a tolerance is not necessarily obtained this way. By a Maltsevlike condition, we characterize varieties whose tolerances are homomorphic images of their congruences (TImC). As corollaries, we prove ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
The homomorphic image of a congruence is always a tolerance (relation) but, within a given variety, a tolerance is not necessarily obtained this way. By a Maltsevlike condition, we characterize varieties whose tolerances are homomorphic images of their congruences (TImC). As corollaries, we prove
HOMOMORPHIC IMAGES OF FINITE SUBDIRECTLY IRREDUCIBLE UNARY ALGEBRAS
"... We prove that a finite unary algebra with at least two operation symbols is a homomorphic image of a (finite) subdirectly irreducible algebra if and only if the intersection of all its subalgebras which have at least two elements is nonempty. ..."
Abstract
 Add to MetaCart
We prove that a finite unary algebra with at least two operation symbols is a homomorphic image of a (finite) subdirectly irreducible algebra if and only if the intersection of all its subalgebras which have at least two elements is nonempty.
Homomorphic and Inverse Homomorphic Images of Linear Conjunctive Languages
"... The paper continues the study of the closure properties of the languages generated by linear conjunctive grammars. It is proved that this language family is closed under inverse homomorphism, but not closed under homomorphism and even under epsilonfree homomorphism. However, there are some particul ..."
Abstract
 Add to MetaCart
The paper continues the study of the closure properties of the languages generated by linear conjunctive grammars. It is proved that this language family is closed under inverse homomorphism, but not closed under homomorphism and even under epsilonfree homomorphism. However, there are some
HOMOMORPHIC IMAGES OF FINITE SUBDIRECTLY IRREDUCIBLE UNARY ALGEBRAS
"... Abstract. We prove that a finite unary algebra with at least two operation symbols is a homomorphic image of a (finite) subdirectly irreducible algebra if and only if the intersection of all its subalgebras which have at least two elements is nonempty. We are concerned with the following question: W ..."
Abstract
 Add to MetaCart
Abstract. We prove that a finite unary algebra with at least two operation symbols is a homomorphic image of a (finite) subdirectly irreducible algebra if and only if the intersection of all its subalgebras which have at least two elements is nonempty. We are concerned with the following question
Results 1  10
of
745