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star graphs for torsion elements in multiplication modules
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نویسنده
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abdollah z. ,malakooti rad p. ,ghalandarzadeh sh. ,shahriari sh.
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منبع
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journal of linear and topological algebra - 2024 - دوره : 13 - شماره : 2 - صفحه:101 -112
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چکیده
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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.
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کلیدواژه
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annihilator graphs ,zero-divisor graphs ,star graphs ,torsion elements ,annihilators ,modules ,multiplication modules ,reduced modules
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آدرس
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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
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پست الکترونیکی
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sshahriari@pomona.edu
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star graphs for torsion elements in multiplication modules
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Authors
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Keywords
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annihilator graphs، zero-divisor graphs، star graphs، torsion elements، annihilators، modules، multiplication modules، reduced modules
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