Results 31 to 40 of about 11,820 (207)
Depth and Stanley depth of the edge ideals of the powers of paths and cycles
Let k be a positive integer. We compute depth and Stanley depth of the quotient ring of the edge ideal associated to the kth power of a path on n vertices.
Iqbal Zahid, Ishaq Muhammad
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Monomial ideals of minimal depth
Let S be a polynomial algebra over a field. We study classes of monomial ideals (as for example lexsegment ideals) of S having minimal depth. In particular, Stanley's conjecture holds for these ideals.
Ishaq Muhammad
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Stanley depths of certain Stanley–Reisner rings
Let \(K\) be a field, \(S=K[x_1, \dots, x_n]\) be the polynomial ring over the field \(K\) and \(M\) a non-zero finitely generated \(\mathbb Z^n\)-graded \(S\)-module. Let \(u\in M\) be a homogeneous element and \(Z\subseteq \{x_1, \dots, x_n\}\). The \(K\)-subspace \(uK[Z]\) generated by all elements \(uv\) with \(v\in K[Z]\) is called a Stanley space
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Gröbner bases of syzygies and Stanley depth
Let F. be a any free resolution of a Z^n-graded submodule of a free module over the polynomial ring K[x_1, ..., x_n]. We show that for a suitable term order on F., the initial module of the p'th syzygy module Z_p is generated by terms m_ie_i where the m_i are monomials in K[x_{p+1}, ..., x_n]. Also for a large class of free resolutions F., encompassing
Fløystad, Gunnar, Herzog, Jürgen
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This paper compares and analyses the differences between Lolita by Vladimir Nabokov (1955) and filmic versions by Stanley Kubrick (1962) and Adrian Lyne (1994), focusing on the respective characterisations of Clare Quilty, as mediated through his ...
Emerson Richards
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Stanley depth of squarefree monomial ideals
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Keller, Mitchel T., Young, Stephen J.
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Religions and Psychotherapies—Special Issue
The birth of modern psychotherapies—along with the birth of psychology as a science on one side and with psychoanalysis, other depth-psychological treatments and behavioral therapies in addition to medical treatments of psychological disorders on the ...
Klaus Baumann, Frank-Gerald B. Pajonk
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LCM Lattices and Stanley Depth: A First Computational Approach [PDF]
To appear in Experimental Math.
Ichim, Bogdan +2 more
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Stanley depth and simplicial spanning trees [PDF]
29 pages; some proofs clarified and many small corrections. To appear in J.
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Stakeholder Perspectives on Therapeutic and Safe Building Design in Residential Care
ABSTRACT Residential care is a form of out‐of‐home care that plays a critical role in supporting vulnerable young people in Australia. However, there is an evidence gap regarding the built environment in this context. This research aimed to explore the perspectives of key stakeholders in residential care in Victoria, Australia, regarding design that ...
Carmen Schroder +3 more
wiley +1 more source

