The Anderson-Badawi conjecture for commutative algebras over infinite fields

Guram Donadze ()
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Guram Donadze: Thiruvananthapuram CET Campus

Indian Journal of Pure and Applied Mathematics, 2016, vol. 47, issue 4, 691-696

Abstract: Abstract In [1], Anderson and Badawi conjecture that every n-absorbing ideal of a commutative ring is strongly n-absorbing. In this article we prove their conjecture in certain cases (in particular this is the case for commutative algebras over an infinite field). We also show that an affirmative answer to another conjecture in [1] implies the Anderson-Badawi Conjecture.

Keywords: n-absorbing ideal; strongly n-absorbing ideal (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s13226-016-0194-3

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