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The Group of Invertible Ideals of a Prufer Ring
(Indian Academy of Sciences, 2020) Saylam, Başak Ay; Ay Saylam, Başak; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
Let R be a commutative ring and I( R) denote the multiplicative group of all invertible fractional ideals of R, ordered by A <= B if and only if B subset of A. We investigatewhen there is an order homomorphism from I(R) into the cardinal direct sum G(i), where G(i)'s are value groups, if R is a Marot Prufer ring of finite character. Furthermore, over Prufer rings with zero-divisors, we investigate the conditions that make this monomorphism onto.
Locally Isomorphic Torsionless Modules Over Domains of Finite Character
(World Scientific Publishing, 2019) Saylam, Başak Ay; Ay Saylam, Başak; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
In a 2002 paper, P. Goeters and B. Olberding compare local, near, and stable isomorphisms of torsionless modules over h-local domains. In this paper, we compare these weaker forms of isomorphisms of torsionless modules over domains of finite character.

Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection