Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Gilbert, N. D."'
Autor:
Gilbert, N. D., McDougall, E. A.
We describe a formalism, using groupoids, for the study of rewriting for presentations of inverse monoids, that is based on the Squier complex construction for monoid presentations. We introduce the class of pseudoregular groupoids, an example of whi
Externí odkaz:
http://arxiv.org/abs/1904.13135
Autor:
Gilbert, N. D., McDougall, E. A.
Presentations of groups by rewriting systems (that is, by monoid presentations), have been fruitfully studied by encoding the rewriting system in a $2$--complex -- the Squier complex -- whose fundamental groupoid then describes the derivation of cons
Externí odkaz:
http://arxiv.org/abs/1901.04348
Autor:
Bainson, B. O., Gilbert, N. D.
We present some homological properties of a relation $\beta$ on ordered groupoids that generalises the minimum group congruence for inverse semigroups. When $\beta$ is a transitive relation on an ordered groupoid $G$, the quotient $G / \beta$ is agai
Externí odkaz:
http://arxiv.org/abs/1704.03689
Autor:
Bainson, B. O., Gilbert, N. D.
We adapt and generalise results of Loganathan on the cohomology of inverse semigroups to the cohomology of ordered groupoids. We then derive a five-term exact sequence in cohomology from an extension of ordered groupoids, and show that this sequence
Externí odkaz:
http://arxiv.org/abs/1702.06333
Autor:
AlAli, Amal, Gilbert, N. D.
As part of his study of representations of the polycylic monoids, M.V. Lawson described all the closed inverse submonoids of a polycyclic monoid $P_n$ and classified them up to conjugacy. We show that Lawson's description can be extended to closed in
Externí odkaz:
http://arxiv.org/abs/1608.04538
Autor:
AlAli, Amal, Gilbert, N. D.
The index of a subgroup of a group counts the number of cosets of that subgroup. A subgroup of finite index often shares structural properties with the group, and the existence of a subgroup of finite index with some particular property can therefore
Externí odkaz:
http://arxiv.org/abs/1608.04254
Autor:
AlYamani, Nouf, Gilbert, N. D.
We introduce a preorder on an inverse semigroup $S$ associated to any normal inverse subsemigroup $N$, that lies between the natural partial order and Green's ${\mathscr J}$-relation. The corresponding equivalence relation $\simeq_N$ is not necessari
Externí odkaz:
http://arxiv.org/abs/1601.08194
We investigate canonical factorizations of ordered functors of ordered groupoids through star-surjective functors. Our main construction is a quotient ordered groupoid, depending on an ordered version of the notion of normal subgroupoid, that results
Externí odkaz:
http://arxiv.org/abs/1403.3254
Autor:
Gilbert, N. D., McDougall, E. A.
We present a construction for the holomorph of an inverse semigroup, derived from the cartesian closed structure of the category of ordered groupoids. We compare the holomorph with the monoid of mappings that preserve the ternary heap operation on an
Externí odkaz:
http://arxiv.org/abs/1402.4592
Autor:
BAINSON, B. O.1 bainsonbernardoduoku@knust.edu.gh, GILBERT, N. D.2 N.D.Gilbert@hw.ac.uk
Publikováno v:
Homology, Homotopy & Applications. 2020, Vol. 22 Issue 2, p163-172. 10p.
