Wreath products involving symmetric inverse monoids/semigroups/categories arise in many areas of algebra and science, and presentations by generators and relations are crucial tools in such studies. The current paper finds such presentations for M≀In, M≀Sing(In) and M≀I. Here M is an arbitrary monoid, In is the symmetric inverse monoid, Sing(In) its singular ideal, and I is the symmetric inverse category. © 2023 Elsevier Inc
There is a strong connection between monoids, automata and languages. The traditional approach is to...
We investigate the preservation of the properties of being finitely generated and finitely presented...
The theory of inverse semigroups forms a major part of semigroup theory. This theory has deep connec...
For a monoid M and a subsemigroup S of the full transformation semigroup Tn, the wreath product M≀S ...
AbstractLet R, S be monoids and A, B be left R- and S-acts, respectively, a∈A is called regular (inv...
It is well-known that an inverse monoid is factorizable if and only if it is a homomorphic image of...
AbstractThe theory of generators and relations for groups is closely related to the geometry of cert...
There is a substantial theory (modelled on permutation representations of groups) of representations...
The dual symmetric inverse monoid J*n is the inverse monoid of all isomorphisms between quotients o...
We give a presentation for In Sn, the semigroup of all singular injective partial transformations on...
We give a semigroup presentation of the singular part of the symmetric inverse monoid on a finite se...
AbstractThe theory in this paper was motivated by an example of an inverse semigroup important in Gi...
Factorizable inverse monoids constitute the algebraic theory of those partial symmetries which are r...
AbstractThe construction of a wreath product of monoids with small categories is a generalization of...
This paper gives necessary and sufficient conditions for the restricted wreath product of two monoid...
There is a strong connection between monoids, automata and languages. The traditional approach is to...
We investigate the preservation of the properties of being finitely generated and finitely presented...
The theory of inverse semigroups forms a major part of semigroup theory. This theory has deep connec...
For a monoid M and a subsemigroup S of the full transformation semigroup Tn, the wreath product M≀S ...
AbstractLet R, S be monoids and A, B be left R- and S-acts, respectively, a∈A is called regular (inv...
It is well-known that an inverse monoid is factorizable if and only if it is a homomorphic image of...
AbstractThe theory of generators and relations for groups is closely related to the geometry of cert...
There is a substantial theory (modelled on permutation representations of groups) of representations...
The dual symmetric inverse monoid J*n is the inverse monoid of all isomorphisms between quotients o...
We give a presentation for In Sn, the semigroup of all singular injective partial transformations on...
We give a semigroup presentation of the singular part of the symmetric inverse monoid on a finite se...
AbstractThe theory in this paper was motivated by an example of an inverse semigroup important in Gi...
Factorizable inverse monoids constitute the algebraic theory of those partial symmetries which are r...
AbstractThe construction of a wreath product of monoids with small categories is a generalization of...
This paper gives necessary and sufficient conditions for the restricted wreath product of two monoid...
There is a strong connection between monoids, automata and languages. The traditional approach is to...
We investigate the preservation of the properties of being finitely generated and finitely presented...
The theory of inverse semigroups forms a major part of semigroup theory. This theory has deep connec...