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Probing the thermal decomposition mechanism of CF<sub>3</sub>SO<sub>2</sub>F by deep learning molecular dynamics. [PDF]
Wang A +10 more
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Structural Evolution during Key Stages of Coal Spontaneous Combustion and Its Impact on Oxidation Characteristics. [PDF]
Ma Y, Liang Y, Guo J, Wu W.
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2017
This chapter contains three major sections, each one roughly corresponding to a lecture. The first section is on computing primary decompositions, the second one is more specifically on binomial ideals, and the last one is on some primary decomposition questions in algebraic statistics and networks. © Springer International Publishing AG 2017.
Irena Swanson +1 more
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This chapter contains three major sections, each one roughly corresponding to a lecture. The first section is on computing primary decompositions, the second one is more specifically on binomial ideals, and the last one is on some primary decomposition questions in algebraic statistics and networks. © Springer International Publishing AG 2017.
Irena Swanson +1 more
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Primary Decomposition in Singular
2016Singular is a comprehensive and steadily growing computer algebra system, with particular emphasis on applications in algebraic geometry, commutative algebra, and singularity theory.
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Note on Primary Ideal Decompositions
Canadian Journal of Mathematics, 1966Let R be a ring with a unity element. An ideal Q of R is called (right) primary if for ideals A and B of R, AB ⊂ Q and A ⊄ Q imply that Bn ⊂ Q for some positive integer n. If R satisfies the ascending chain condition for ideals (ACC), then R is said to have a Noetherian ideal theory if every ideal of R is an intersection of a finite number of primary ...
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Primary Mechanism of the Thermal Decomposition of Tricyclodecane
The Journal of Physical Chemistry A, 2006To better understand the thermal decomposition of polycyclanes, the pyrolysis of tricyclodecane has been studied in a jet-stirred reactor at temperatures from 848 to 933 K, for residence times between 0.5 and 6 s and at atmospheric pressure, corresponding to a conversion between 0.01% and 25%.
Olivier, Herbinet +6 more
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Primary decompositions in lattices
Algebra Universalis, 1994A general definition of primary theory for semilattices is given which generalizes all known decompositions in noncommutative rings and multiplicative lattices. It is proved that there exist minimal primary decompositions. The author gives a new notion of radicals for semilattices, which have properties similar to the nilpotent radicals of commutative ...
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Polynomials and Primary Decomposition
1987We have already defined polynomials, and their degree, in Chapter IX. In this chapter, we deal with the other standard properties of polynomials. The basic one is the Euclidean algorithm, or long division, taught (presumably) in all elementary schools.
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