Topics on strict closure of rings
نویسندگان
چکیده
In 1971, Lipman (Am J Math 93:649–685, 1971) introduced the notion of strict closure a ring in another, and established underlying theory connection with conjecture O. Zariski. this paper, for further developments theory, we investigate three different topics related to rings. The first one concerns construction closure, second is study regarding question whether closedness inherited under flat homomorphisms. We finally handle when Arf coincides closure. Examples are explored illustrate our theorems.
منابع مشابه
Topics on the Ratliff-Rush Closure of an Ideal
Introduction Let be a Noetherian ring with unity and be a regular ideal of , that is, contains a nonzerodivisor. Let . Then . The :union: of this family, , is an interesting ideal first studied by Ratliff and Rush in [15]. The Ratliff-Rush closure of is defined by . A regular ideal for which is called Ratliff-Rush ideal. The present paper, reviews some of the known prop...
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ژورنال
عنوان ژورنال: Research in the Mathematical Sciences
سال: 2021
ISSN: ['2522-0144', '2197-9847']
DOI: https://doi.org/10.1007/s40687-021-00292-1