Results 111 to 120 of about 195 (135)
Studying Noncovalent Interactions in Molecular Systems with Machine Learning. [PDF]
Tretiakov S, Nigam A, Pollice R.
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Optimization of B97-Type Density Functional Approximation, Global Hybrid, and Range-Separated Hybrid Energy Functionals with the D4 Dispersion Corrections in TAO-DFT. [PDF]
Li S, Chai JD.
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Predicting Spin-Dependent Phonon Band Structures of HKUST-1 Using Density Functional Theory and Machine-Learned Interatomic Potentials. [PDF]
Strasser N, Wieser S, Zojer E.
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Local Rings, Semilocal Rings, and Idempotents
In the first two sections of this chapter, we focus our attention on two special classes of rings, namely, local rings and semilocal rings. By definition, a ring R is local if R/rad R is a division ring, and R is semilocal if R/rad R is a semisimple ring.
T Y Lam
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Factorizations of elements in local rings and semilocal rings of finite type
Factorizations of ring elements are described by finite chains of principal ideals. We use the description of cyclically presented modules over local rings to study factorization of elements in local rings.
Arroyo Paniagua María José +2 more
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Semilocal rings whose adjoint group is locally supersoluble
Archiv der Mathematik, 2010Let \(R\) be an associative ring, not necessarily with an identity element. Let \(R^{ad}\) be the adjoint semigroup of \(R\) under the operation \(a\circ b=a+b+ab\) for all \(a,b\in R\) with neutral element \(0\in R\). Let \(R^\circ\) be the adjoint group of \(R\), that is, the group of all invertible elements of the semigroup \(R^{ad}\).
CATINO, Francesco +2 more
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Characterizations of taut semi-local rings
Annali di Matematica Pura ed Applicata, 1977It is proved that the following statements are equivalent for semi-local domain R:1) R is taut (i.e., for each non-maximal prime ideal P in R, height P+depth P=altitude R).2) Every integral domain which contains and is integral over R is taut.3) R[1/b].
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Springer’s Odd Degree Extension Theorem for quadratic forms over semilocal rings
Indagationes Mathematicae, 2021Erhard Neher, Philippe Gille
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