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   ON β-TOPOLOGICAL RINGS  
   
نویسنده billawria s. ,sharma sh.
منبع journal of algebra and related topics - 2021 - دوره : 9 - شماره : 1 - صفحه:51 -60
چکیده    In this paper, we introduce a generalized form of the class of topological rings, namely β-topological rings, by using βopen sets which itself is a generalized form of open sets. translation of open(closed) sets and multiplication by invertible elements of open(closed) sets of the β-topological rings are investigated. some other useful results on β-topological rings are also given. examples of β-topological rings which fails to be topological rings are also provided. we further define β-topological rings with unity in the sequel and presented some results on it.
کلیدواژه β-open sets ,β-closed sets ,β-topological ring ,β-continuous mappings
آدرس university of jammu, department of mathematics, India, university of jammu, department of mathematics, India
پست الکترونیکی shallujamwal09@gmail.com
 
     
   
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