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

Moutui M. A. S., Ouled Azaiez N., KOÇ S.

Georgian Mathematical Journal, cilt.30, sa.2, ss.269-276, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1515/gmj-2022-2212
  • Dergi Adı: Georgian Mathematical Journal
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.269-276
  • Anahtar Kelimeler: amalgamated algebra, Pseudo-Almost valuation ring, trivial extension
  • Marmara Üniversitesi Adresli: Hayır

Özet

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.