Title of article :
Amalgamated Algebras Issued from ϕ-Chained Rings and ϕ-Pseudo-Valuation Rings
Author/Authors :
El Khalfi ، Abdelhaq Department of Mathematics - Faculty of Science and Technology of Fez - University S.M. Ben Abdellah Fez , Kim ، Hwankoo Division of Computer and Information Engineering - Hoseo University , Mahdou ، Najib Department of Mathematics - Faculty of Science and Technology of Fez - University S.M. Ben Abdellah Fez
Abstract :
Let f:A→B be a ring homomorphism and let J be an ideal of B. In this article, we study the possible transfer of the properties of being a ϕ-ring, a ϕ-chained ring, and a ϕ-pseudo-valuation ring to the amalgamated algebra A⋈fJ. Our aim is to provide examples of new classes of commutative rings satisfying the aforementioned properties.
Keywords :
Amalgamated algebra , Chained ring , Pseudo , valuation ring , Trivial ring extension , Valuation ring
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
