dc.contributor.author |
Elton Pasku; Department of Mathematics, Faculty of Natural Sciences,TIRANA University |
|
dc.contributor.author |
Anjeza Pasku (Krakulli); Department of Mathematics, University of "Aleksander Moisiu" |
|
dc.date |
2013-06-18 07:14:38 |
|
dc.date.accessioned |
2013-07-15T11:52:05Z |
|
dc.date.accessioned |
2015-11-23T16:01:24Z |
|
dc.date.available |
2013-07-15T11:52:05Z |
|
dc.date.available |
2015-11-23T16:01:24Z |
|
dc.date.issued |
2013-07-15 |
|
dc.identifier |
http://ecs.epoka.edu.al/index.php/iscim/iscim2011/paper/view/780 |
|
dc.identifier.uri |
http://dspace.epoka.edu.al/handle/1/751 |
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dc.description.abstract |
There is a large amount of published work in the last decade on finiteness conditionsof monoids and groups such as n FP and its siblings. Recently Gray and Pride havefound that a Clifford monoid containing a minimal idempotent e is of type n FP ifand only if its maximal subgroup containing e is of the same type. In our paper welook for results which are in the same spirit as the above, that is, we try to relate thehomological finiteness conditions of a Clifford monoid to those of a certain grouparising from its semilattice structure. More specifically, we prove that if acommutative Clifford monoid S is of type n FP , then its maximum group image Gis of the same type. To achieve this we employ a result of [10] which relates thecohomology groups of S to those of G, and the fact that the functor n ( , )S Ext   commutes with direct limits whenever S is of type n FP . |
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dc.format |
application/pdf |
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dc.language |
en |
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dc.publisher |
International Symposium on Computing in Informatics and Mathematics |
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dc.source |
International Symposium on Computing in Informatics and Mathematics; 1st International Symposium on Computing in Informatics and Mathematics |
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dc.title |
Finiteness Conditions for Clifford Semigroups |
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dc.type |
Peer-reviewed Paper |
|