FILTERS ON LEFT INVARIANT TOPOLOGIES GROUPS
DOI:
https://doi.org/10.59743/jbs.v30i.79الكلمات المفتاحية:
Left invariant topology، Strongly extremally disconnected، Strongly discrete filterالملخص
Let G be an infinite group with identity e, . Given a filter F on G let denotes the strongest left invariant topology in which this filter converges to e. We try to describe the topology including the case where F is a strongly discrete filter, in this case, we will show that (G, ) is a Zero- dimensional and possesses an interesting extremal properties.
المراجع
T.Husain , Introduction to Topological Groups (W.B . Saunders, Philadelphia and London 1966).
K. M. Mera , Extremal topologies on a semigroup , Master thesis (University of Alfateh ;2002).
I .V.protasov. Extremal topologies on groups, Matematychni Studii,15(2001) 9-22.
Y.Zelenyuk, On extremally disconnected topological groups, Topology Appl.153 (2006) 2382-2385.
Y.Zelenyuk, Topologies on groups determined by discrete subsets , Topology Appl.155(2008) 1332-1339.
التنزيلات
منشور
إصدار
القسم
الرخصة
الحقوق الفكرية (c) 2017 مجلة العلوم الأساسية
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