Search Results - "Rissner, Roswitha"

Ramsey numbers of partial order graphs (comparability graphs) and implications in ring theory by Badawi, Ayman, Rissner, Roswitha

“…For a partially ordered set , let be the simple, undirected graph with vertex set such that two vertices are adjacent if either or . We call the or of …”
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Irreducible polynomials in Int(ℤ) by Antoniou, Austin, Nakato, Sarah, Rissner, Roswitha

“…In order to fully understand the factorization behavior of the ring Int(ℤ) = { f ∈ ℚ[x] | f (ℤ) ⊆ ℤ} of integer-valued polynomials on ℤ, it is crucial to…”
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Absolute irreducibility of the binomial polynomials by Rissner, Roswitha, Windisch, Daniel

“…In this paper we investigate the factorization behaviour of the binomial polynomials (xn)=x(x−1)⋯(x−n+1)n! and their powers in the ring of integer-valued…”
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Null ideals of matrices over residue class rings of principal ideal domains by Rissner, Roswitha

“…Given a square matrix A with entries in a commutative ring S, the ideal of S[X] consisting of polynomials f with f(A)=0 is called the null ideal of A. Very…”
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Fluctuations in depth and associated primes of powers of ideals by Rissner, Roswitha, Swanson, Irena

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Stabilization of associated prime ideals of monomial ideals – Bounding the copersistence index by Heuberger, Clemens, Rath, Jutta, Rissner, Roswitha

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Split absolutely irreducible integer-valued polynomials over discrete valuation domains by Frisch, Sophie, Nakato, Sarah, Rissner, Roswitha

“…Regarding non-unique factorization of integer-valued polynomials over a discrete valuation domain (R,M) with finite residue field, it is known that there exist…”
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Characterizing absolutely irreducible integer-valued polynomials over discrete valuation domains by Hiebler, Moritz, Nakato, Sarah, Rissner, Roswitha

“…Rings of integer-valued polynomials are known to be atomic, non-factorial rings furnishing examples for both irreducible elements for which all powers factor…”
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Computing J-ideals of a matrix over a principal ideal domain by Heuberger, Clemens, Rissner, Roswitha

“…Given a square matrix B over a principal ideal domain D and an ideal J of D, the J-ideal of B consists of the polynomials f∈D[X] such that all entries of f(B)…”
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Bounds on the radius and status of graphs by Rissner, Roswitha, Burkard, Rainer E.

“…Two classical concepts of centrality in a graph are the median and the center. The connected notions of the status and the radius of a graph seem to be in no…”
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Irreducible integer-valued polynomials with prescribed minimal power that factors non-uniquely by Nakato, Sarah, Rissner, Roswitha

“…We study the question up to which power an irreducible integer-valued polynomial that is not absolutely irreducible can factor uniquely. For example, for…”
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Fluctuations in depth and associated primes of powers of ideals by Rissner, Roswitha, Swanson, Irena

“…We count the numbers of associated primes of powers of ideals as defined by Bandari, Hibi, and Herzog in 2014. We generalize those ideals to monomial ideals…”
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Finiteness and Skolem Closure of Ideals for Non-Unibranched Domains by Cahen, Paul-Jean, Rissner, Roswitha

“…A one-dimensional, Noetherian, local domain D with maximal ideal and finite residue field was known to be an almost strong Skolem ring if analytically…”
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Counting core sets in matrix rings over finite fields by Rissner, Roswitha, Werner, Nicholas J

“…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…”
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Absolute irreducibility of the binomial polynomials by Rissner, Roswitha, Windisch, Daniel

“…In this paper we investigate the factorization behaviour of the binomial polynomials $\binom{x}{n} = \frac{x(x-1)\cdots (x-n+1)}{n!}$ and their powers in the…”
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Stabilization of associated prime ideals of monomial ideals -- Bounding the copersistence index by Heuberger, Clemens, Rath, Jutta, Rissner, Roswitha

“…The sequence $(\operatorname{Ass}(R/I^n))_{n\in\mathbb{N}}$ of associated primes of powers of a monomial ideal $I$ in a polynomial ring $R$ eventually…”
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Characterizing absolutely irreducible integer-valued polynomials over discrete valuation domains by Hiebler, Moritz, Nakato, Sarah, Rissner, Roswitha

“…Rings of integer-valued polynomials are known to be atomic, non-factorial rings furnishing examples for both irreducible elements for which all powers factor…”
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Polynomially solvable special cases of the quadratic bottleneck assignment problem by Burkard, Rainer E., Rissner, Roswitha

“…Quadratic bottleneck assignment problems (QBAP) are obtained by replacing the addition of cost terms in the objective function of a quadratic (sum) assignment…”
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Ramsey numbers of partial order graphs (comparability graphs) and implications in ring theory by Badawi, Ayman, Rissner, Roswitha

“…For a partially ordered set $(A, \le)$, let $G_A$ be the simple, undirected graph with vertex set $A$ such that two vertices $a \neq b\in A$ are adjacent if…”
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Null ideals of matrices over residue class rings of principal ideal domains by Rissner, Roswitha

“…Linear Algebra and Its Applications (2016), pp. 44-69 Given a square matrix $A$ with entries in a commutative ring $S$, the ideal of $S[X]$ consisting of…”
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