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   star graphs for torsion elements in multiplication modules  
   
نویسنده abdollah z. ,malakooti rad p. ,ghalandarzadeh sh. ,shahriari sh.
منبع journal of linear and topological algebra - 2024 - دوره : 13 - شماره : 2 - صفحه:101 -112
چکیده    Let r be a commutative ring with identity, m a multiplication r-module, and t(m)⋆ the set of non-zero torsion elements of m. we consider two graphs, the torsion graph and the annihilator graph of m that have t(m)⋆ as their set of vertices, and investigate the cases when these graphs are stars. the graph theoretic properties are reflected in the ring theoretic properties and vice versa. if a ring is considered as a module on itself, then the module is a multiplication module. hence, our results directly generalize results about rings.
کلیدواژه annihilator graphs ,zero-divisor graphs ,star graphs ,torsion elements ,annihilators ,modules ,multiplication modules ,reduced modules
آدرس ‎islamic azad university‎, ‎qazvin branch‎, department of mathematics‎, iran, ‎islamic azad university‎, ‎qazvin branch‎, department of mathematics‎, iran, ‎k‎. ‎n‎. ‎toosi university of technology‎, faculty of mathematics‎, iran, pomona college, department of mathematics & statistics‎, usa
پست الکترونیکی sshahriari@pomona.edu
 
   star graphs for torsion elements in multiplication modules  
   
Authors
  
Keywords annihilator graphs‎، ‎zero-divisor graphs‎، ‎star graphs‎، ‎torsion elements‎، ‎annihilators‎، ‎modules‎، ‎multiplication modules‎، ‎reduced modules
 
 

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