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Browsing by Subject "Valuation domain"

Browsing by Subject "Valuation domain"

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  • Maximal non valuative domains 
    Kumar, Rahul (ARXIV, 2020-09)
    The notion of maximal non valuative domain is introduced and characterized. An integral domain R is called a maximal non valuative domain if R is not a valuative domain but every proper overring of R is a valuative ...
  • Maximal non λ-subrings 
    Kumar, Rahul (Springer, 2020)
    Let R be a commutative ring with unity. The notion of maximal non -subrings is introduced and studied. A ring R is called a maximal non -subring of a ring T if R T is not a -extension, and for any ring S such that ...
  • A note on -domains and -domains 
    Kumar, Rahul (The Belgian Mathematical Society, 2020)
    Let R be an integral domain. Then R is said to be a λ-domain if the set of all overrings of R is linearly ordered by inclusion. If R1+R2 is an overring of R for each pair of overrings R1,R2 of R, then R is said to be a ...