SUNY Old Westbury

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20092025

most citedThree-component soliton states in spinor

F = 1

Bose-Einstein condensates

119 citations

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4 papers · 1 filter

math.RA2024

Counting core sets in matrix rings over finite fields

Roswitha Rissner, Nicholas J. Werner

Let $R$ be a commutative ring and $M_{n} (R)$ be the ring of $n \times n$ matrices with entries from $R$ . For each $S \subseteq M_{n} (R)$ , we consider its (generalized) null ideal $N(S)…

math.RA2016★ 8 cited

Decomposition of integer-valued polynomial algebras

Giulio Peruginelli, Nicholas J. Werner

Let $D$ be a commutative domain with field of fractions $K$ , let $A$ be a torsion-free $D$ -algebra, and let $B$ be the extension of $A$ to a $K$ -algebra. The set of integer-valued…

math.RA2016★ 12 cited

Non-triviality Conditions for Integer-valued Polynomial Rings on Algebras

G. Peruginelli, N. J. Werner

Let $D$ be a commutative domain with field of fractions $K$ and let $A$ be a torsion-free $D$ -algebra such that $A \cap K = D$ . The ring of integer-valued polynomials on $A$ with c…

math.RA2015★ 17 cited

Properly Integral Polynomials over the Ring of Integer-valued Polynomials on a Matrix Ring

Giulio Peruginelli, Nicholas J. Werner

Let $D$ be a domain with fraction field $K$ , and let $M_{n} (D)$ be the ring of $n \times n$ matrices with entries in $D$ . The ring of integer-valued polynomials on the matrix ring $M…