31,572 research outputs found
Recommended from our members
RSS Evidence Base: future employment prospects for the East Midlands
This paper sets out an analysis of the economic forecasts that have been used to underpin the reviews of the Regional Economic Strategy (RES) and the Regional Spatial Strategy (RSS). The focus of this paper is on employment prospects in the proposed RSS sub-areas. The data in this paper is presented for a slightly different time period than in the Interim RES Evidence Base- this is a function of the differing requirements of the RES and RSS. However the data in both sets of evidence is taken from the same source and is therefore consistent
Infinite partition monoids
Let and be the partition monoid and symmetric
group on an infinite set . We show that may be generated by
together with two (but no fewer) additional partitions, and we
classify the pairs for which is
generated by . We also show that may be generated by the set of all idempotent partitions
together with two (but no fewer) additional partitions. In fact,
is generated by if and only if it is
generated by . We also
classify the pairs for which is
generated by . Among other results, we show
that any countable subset of is contained in a -generated
subsemigroup of , and that the length function on
is bounded with respect to any generating set
Idempotents and one-sided units in infinite partial Brauer monoids
We study monoids generated by various combinations of idempotents and one- or
two-sided units of an infinite partial Brauer monoid. This yields a total of
eight such monoids, each with a natural characterisation in terms of
relationships between parameters associated to Brauer graphs. We calculate the
relative ranks of each monoid modulo any other such monoid it may contain, and
then apply these results to determine the Sierpinski rank of each monoid, and
ascertain which ones have the semigroup Bergman property. We also make some
fundamental observations about idempotents and units in arbitrary monoids, and
prove some general results about relative ranks for submonoids generated by
these sets.
Dedicated to Dr Des FitzGerald on the occasion of his 70th birthday.Comment: To appear in J Algebra. V2 incorporates referee's suggestions: 37
pages; 7 figures; 1 table. V1: 38 pages; 8 figures; 2 table
Recommended from our members
Mutually assured construction : resurrecting the West Texas missile silos
A group of enthusiasts near Abilene, Texas are turning decommissioned, Cold War-era nuclear missile silos into homes, doomsday shelters, historical monuments and businesses, offering a unique glimpse into the blue-collar, do-it-yourself psyche of a region of Texas forged during the Cold War.Journalis
Recommended from our members
A technology framework for the East Midlands 2008-2011
This provides a framework for targeting support for technology development by focusing on a limited number of priority areas and demonstrates a clear understanding of the region's technology strengths to investors, collaborators and policymakers
Provision of palliative care in Malta
The Malta Hospice Movement, within its young, fastdeveloping structure, is established as a Body within the Maltese Community that continues to expand its vision of Palliative Care, Palliative Medicine and Hospice Philosophy by increasing its human, structural and organisational resources. Through the multi-disciplinary team, it reaches out to cancer patients both as a voluntary, charitable organisation but more importantly as a professional one in a wide range of Hospice services.peer-reviewe
- …