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Classes of trivial ring extensions and amalgamations subject to pseudo-almost valuation condition

  • Moutu Abdou Salam Moutui ORCID logo EMAIL logo , Najib Ouled Azaiez ORCID logo and Suat Koç
Published/Copyright: January 27, 2023
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Abstract

This paper studies the transfer of pseudo-almost valuation property (PAVR property for short) to various context of commutative ring extensions such as power series ring, trivial ring extension and amalgamation. Our work is motivated by an attempt to generate new original classes of rings satisfying this property. The obtained results are backed with new and illustrative examples arising as trivial ring extensions, amalgamations and pullback constructions.

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Received: 2022-03-08
Accepted: 2022-08-31
Published Online: 2023-01-27
Published in Print: 2023-04-01

© 2023 Walter de Gruyter GmbH, Berlin/Boston

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