Finiteness Conditions for Clifford Semigroups

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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
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 .
dc.format application/pdf
dc.language en
dc.publisher International Symposium on Computing in Informatics and Mathematics
dc.source International Symposium on Computing in Informatics and Mathematics; 1st International Symposium on Computing in Informatics and Mathematics
dc.title Finiteness Conditions for Clifford Semigroups
dc.type Peer-reviewed Paper


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  • ISCIM 2011
    1st International Symposium on Computing in Informatics and Mathematics

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