Results 81 to 90 of about 23,166 (295)
Intersections of Primary Ideals in Rings of Continuous Functions [PDF]
, 1972 Let C be the ring of all real valued continuous functions on a completely regular topological space. This paper is an investigation of the ideals of C that are intersections of prime or of primary ideals.C. W. Kohls has analyzed the prime ideals of C in [
R. Douglas Williams
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Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
wiley +1 more source
Primary Decomposition of Lattice Basis Ideals
Journal of Symbolic Computation, 2000 Here is the authors' abstract: ``We study the primary decomposition of lattice basis ideals. These ideals are binomial ideals with generators given by the elements of a basis of a saturated integer lattice. We show that the minimal primes of such an ideal are completely determined by the sign pattern of the basis elements, while the embedded primes are
Serkan Hosten, Jay Shapiro
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Primary decomposition of monomial ideals [PDF]
, 2001 Let k be a field and R be a polynomial ring in n variables over k. Every ideal I of R=k[x₁, ... ,x_n]can be written as a finite intersection of primary ideals. A monomial ideal is an ideal of k[x₁, ...
장보금
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Investigating transcription factor dynamics in health and disease using FRAP
FEBS Letters, EarlyView.FRAP analysis of GFP‐tagged transcription factors reveals how molecular mobility and target engagement change in response to drug treatment. By combining live‐cell imaging, quantitative model fitting, and statistical analysis, this approach uncovers transcription factor dynamics linked to disease mechanisms, providing a powerful framework for ...
Kannan Govindaraj +3 more
wiley +1 more source
Primary Decomposition of Ideals of Lattice Homomorphisms
The Electronic Journal of Combinatorics, 2018 For two given finite lattices $L$ and $M$, we introduce the ideal of lattice homomorphism $J(L,M)$, whose minimal monomial generators correspond to lattice homomorphisms $\phi : L\to M$. We show that $L$ is a distributive lattice if and only if the equidimensinal part of $J(L,M)$ is the same as the equidimensional part of the ideal of poset ...
Leila Sharifan +2 more
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Primary Ideals and Primary Modules over Noncommutative Rings [PDF]
, 2010 The concepts of prime ideals and prime modules were introduced over noncommutative rings. In this article we generalize these concepts and introduce the concepts of primary ideals and primary modules over noncommutative rings.
Ashour, Arwa E.
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Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
Molecular Oncology, EarlyView.This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley +1 more source
On sM-Prime Ideals in Commutative Rings
AxiomsAll rings considered are commutative with identity, and all modules are assumed to be unital. In this paper, we study R-modules in which every quasi-primary submodule is also primary; we refer to such modules as satisfying condition (*).
Gülşen Ulucak +3 more
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On f - prime radical in ordered semigroups
Open Mathematics, 2018 In this paper, we introduce the concepts of f-prime ideals, f-semiprime ideals and f-prime radicals in ordered semigroups. Furthermore, some results on f-prime radicals and f-primary decomposition of an ideal in an ordered semigroup are obtained.
Gu Ze
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