Zobrazeno 1 - 10
of 5 459
pro vyhledávání: '"Basis (universal algebra)"'
Autor:
Jin-Hui Fang
Publikováno v:
Journal of Number Theory. 238:808-822
Let Z be the set of integers and N the set of positive integers. For a nonempty set A of integers and any integer n, denote r A ( n ) by the number of representations of n of the form n = a + a ′ , where a ⩽ a ′ and a , a ′ ∈ A , and d A (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6597073a94734eb4d64a21fb14f6dc7a
https://doi.org/10.1016/j.jnt.2021.09.020
https://doi.org/10.1016/j.jnt.2021.09.020
Publikováno v:
Fuzzy Sets and Systems. 441:1-32
The characterization of ( S , N ) -implications when N is a non-continuous negation has remained one of the most significant open problems in fuzzy logic for the last decades. This paper constitutes the first progress in this topic. Namely, a general
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8d72b77b24a72db038cd50c72f047b42
https://doi.org/10.1016/j.fss.2021.06.009
https://doi.org/10.1016/j.fss.2021.06.009
Publikováno v:
Advances in Mathematics, 392
Let $\hat{\mathfrak{g}}$ be an untwisted affine Lie algebra or the twisted counterpart thereof (which excludes the affine Lie algebras of type $\widehat{BC}_n=A^{(2)}_{2n}$). We present an affine Pieri rule for a basis of periodic Macdonald spherical
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::215e335a213b68b5c3f72aaf24684645
http://arxiv.org/abs/2305.01931
http://arxiv.org/abs/2305.01931
Autor:
Xiaofei Wang
Publikováno v:
Historia Mathematica. 59:146-163
At the turn of the 19th century, arithmetic underwent a reform. Lagrange and Delambre developed diverse reflections on this discipline and contributed to the revival of the study of the ancient Greeks' mathematics. Through analyzing Lagrange's lectur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::de07b0e5416b7035933715f8c9b8753d
https://doi.org/10.1016/j.hm.2020.12.002
https://doi.org/10.1016/j.hm.2020.12.002
Publikováno v:
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. 41:1573-1586
Formal verification of integer multipliers is one of the important but challenging problems in the verification community. Recently, the methods based on Symbolic Computer Algebra (SCA) have shown very good results in comparison to all other existing
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::345713e4971eeba5c83277fb7711c2e0
https://doi.org/10.1109/tcad.2021.3083682
https://doi.org/10.1109/tcad.2021.3083682
Publikováno v:
Journal of Number Theory. 233:158-197
Let $L/K$ be a finite Galois extension of $p$-adic fields with group $G$. It is well-known that $\mathcal{O}_L$ contains a free $\mathcal{O}_K[G]$-submodule of finite index. We study the minimal index of such a free submodule, and determine it exactl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c136f8e93af4aa84ab810549d1ec911
https://doi.org/10.1016/j.jnt.2021.06.008
https://doi.org/10.1016/j.jnt.2021.06.008
Autor:
So Young Choi
Publikováno v:
Journal of Number Theory. 232:101-117
We construct a canonical basis for the space of weakly holomorphic Drinfeld modular forms. And we find that the basis elements satisfy a generating function and the duality among coefficients of the basis elements. Moreover we obtain the congruence p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::19905ee5dc0dcf51b8d5a4d731574906
https://doi.org/10.1016/j.jnt.2019.03.020
https://doi.org/10.1016/j.jnt.2019.03.020
Autor:
Alba Guarné, Yao Shen, Michael T. Petassi, Joaquin Ortega, Joseph E. Peters, Josué Gómez-Blanco
Publikováno v:
Nature Structural & Molecular Biology. 29:143-151
Tn7 transposable elements are unique for their highly specific, and sometimes programmable, target-site selection mechanisms and precise insertions. All the elements in the Tn7-family utilize a AAA+ adaptor (TnsC) to coordinates target-site selection
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e8564a216a4f23be3b76d1d1b0ec3ad
https://doi.org/10.1038/s41594-022-00724-8
https://doi.org/10.1038/s41594-022-00724-8
Publikováno v:
Journal of Algebra. 590:1-25
Let Q be the affine quiver of type A ˜ 2 n − 1 , 1 and A q ( Q ) be the quantum cluster algebra associated to the valued quiver ( Q , ( 2 , 2 , … , 2 ) ) . We prove some cluster multiplication formulas, and deduce that the cluster variables asso
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8da5fddee3d4e4c2945aebd8867dde00
https://doi.org/10.1016/j.jalgebra.2021.10.001
https://doi.org/10.1016/j.jalgebra.2021.10.001
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
We first construct linear bases for free Lie-admissible algebras and develop a new theory of Grobner–Shirshov bases for Lie-admissible algebras. Then we prove an analogue of the Poincare–Birkhoff–Witt theorem, that is, every Lie algebra L can b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9596c3d5d3375f9114a24fb89a743ece
https://doi.org/10.1016/j.jalgebra.2021.10.015
https://doi.org/10.1016/j.jalgebra.2021.10.015