2 citations · 4 across the 7 of their papers we have counts for
8 papers
On the Gleason-Kahane-Żelazko theorem for associative algebras
Moshe Roitman, Amol Sasane
The classical Gleason-Kahane-Żelazko Theorem states that a linear functional on a complex Banach algebra not vanishing on units, and such that , is multiplicative,…
On strongly primary monoids and domains
Alfred Geroldinger, Moshe Roitman
A commutative integral domain is primary if and only if it is one-dimensional and local. A domain is strongly primary if and only if it is local and each nonzero principal ideal co…
On finitely stable domains
Stefania Gabelli, Moshe Roitman
We study Archimedean and locally Archimedean stable domains. We prove that a domain is stable and one-dimensional if and only if it is finitely stable and Mori. But we give example…
The Kaplansky condition and rings of almost stable range 1
Moshe Roitman
We present some variants of the Kaplansky condition for a K-Hermite ring to be an elementary divisor ring; for example, a commutative K-Hermite ring is an EDR iff for any e…
The content of a Gaussian polynomial is invertible
K. Alan Loper, Moshe Roitman
Let R be an integral domain and let f(X) be a nonzero polynomial in R[X]. The content of f is the ideal c(f) generated by the coefficients of f. The polynomial f(X) is called Gauss…
Maximal divisorial ideals and t-maximal ideals
Stefania Gabelli, Moshe Roitman
We give conditions for a maximal divisorial ideal to be t-maximal and show with examples that, even in a completely integrally closed domain, maximal divisorial ideals need not be…