Shai Sarussi

activity

20122019

most citedQuasi-Valuations Extending a Valuation

11 citations · 11 across the 1 of their papers we have counts for

collaborators

7 papers

math.RA2019

Alexandroff Topology of Algebras over an Integral Domain

Shai Sarussi

Let $S$ be an integral domain with field of fractions $F$ and let $A$ be an $F$ -algebra. An $S$ -subalgebra $R$ of $A$ is called $S$ -nice if $R$ is lying over $S$ and the localizati…

math.RA2018

Extensions of integral domains and quasi-valuations

Shai Sarussi

Let $S$ be an integral domain with field of fractions $F$ and let $A$ be an $F$ -algebra having an $S$ -stable basis. We prove the existence of an $S$ -subalgebra $R$ of $A$ lying ove…

math.RA2014

Totally ordered sets and the prime spectra of rings

Shai Sarussi

Let $T$ be a totally ordered set and let $D (T)$ denote the set of all cuts of $T$ . We prove the existence of a discrete valuation domain $O_{v}$ such that $T$ is order isomorphic t…

math.RA2013

Quasi-valuations and algebras over valuation domains

Shai Sarussi

Suppose $F$ is a field with valuation $v$ and valuation domain $O_{v}$ , and $R$ is an $O_{v} -$ algebra. We prove that $R$ satisfies SGB (strong going between) over $O_{v}$ . We give…

math.GN2013

Quasi-valuations - topology and the weak approximation theorem

Shai Sarussi

Suppose $F$ is a field with a nontrivial valuation $v$ and valuation ring $O_{v}$ , $E$ is a finite field extension and $w$ is a quasi-valuation on $E$ extending $v$ . We study the t…

math.RA2013

Maximal covers of chains of prime ideals

Shai Sarussi

Suppose $f : S \to R$ is a ring homomorphism such that $f [S]$ is contained in the center of $R$ . We study the connections between chains in $Spec (S)$ and chains in $…

math.AC2012★ 11 cited

Quasi-Valuations Extending a Valuation

Shai Sarussi

Suppose $F$ is a field with valuation $v$ and valuation ring $O_{v}$ , $E$ is a finite field extension and $w$ is a quasi-valuation on $E$ extending $v$ . We study quasi-valuations o…