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Communications in Algebra Volume 48, 2020 - Issue 11
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Articles

Graded pseudo-valuation domains

M. T. AhmedDepartment of Mathematics;, Abdus Salam School of Mathematical Sciences, GCU, Lahore, Pakistan; Correspondence[email protected], [email protected]
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C. BakkariDepartment of Mathematics, Faculty of Science, University Moulay Ismail, Meknes, Morocco; View further author information
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N. MahdouLaboratory of Modeling and Mathematical Structures, Department of Mathematics, Faculty of Science and Technology of Fez, University Sidi Mohamed Ben Abdellah, Fez, MoroccoView further author information
&
A. RiffiDepartment of Mathematics, Faculty of Science, University Moulay Ismail, Meknes, Morocco; ORCID Iconhttp://orcid.org/0000-0002-4119-7749View further author information
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Pages 4555-4568 | Received 19 Oct 2019, Accepted 02 May 2020, Published online: 02 Jun 2020
 
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Abstract

We introduce a graded version of pseudo-valuation rings for integral domains graded by a torsionless monoid, and we extend several results to the graded situation.

2010 Mathematics Subject Classification:

Additional information

Funding

The first named author is supported by ASSMS, GC University Lahore under a Postdoc fellowship.

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