Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Abdukadir Obul"'
Autor:
Desheng Hu, Abdukadir Obul
Publikováno v:
Journal of Mathematics, Vol 2023 (2023)
In the Ringel–Hall algebra of Dynkin type, the set of all commutator relations between the isoclasses of indecomposable representations forms a minimal Gröbner–Shirshov basis, and the set of the corresponding irreducible elements forms a PBW-typ
Externí odkaz:
https://doaj.org/article/9cc766c9e8f84a34b03cc8e3f068ca7e
Autor:
Yao Luo, Abdukadir Obul
Publikováno v:
Algebra Colloquium. 30:43-60
In the Ringel–Hall algebra of Dynkin type, the set of all commutator relations between the isoclasses of indecomposable representations forms a minimal Gröbner–Shirshov basis and the set of the corresponding irreducible elements forms a PBW-type
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41a2fc0d253bdc86cec21064fdf195b8
https://doi.org/10.1142/s1005386723000056
https://doi.org/10.1142/s1005386723000056
Autor:
Abdukadir Obul, Cheng-xiu Qiang
Publikováno v:
Acta Mathematicae Applicatae Sinica, English Series. 36:825-835
In this paper, we give a Grobner-Shirshov basis of quantum group of type ℂ3 by using the Ringel-Hall algebra approach. For this, first we compute all skew-commutator relations between the isoclasses of indecomposable reprersentations of Ringel-Hall
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::056c69e69e132b3e11c22c498adc7302
https://doi.org/10.1007/s10255-020-0982-8
https://doi.org/10.1007/s10255-020-0982-8
Autor:
Abdukadir Obul, Zhe He
Publikováno v:
Acta Mathematica Sinica, English Series. 36:929-942
We know that in Ringel-Hall algebra of Dynkin type, the set of all skew commutator relations between the iso-classes of indecomposable modules forms a minimal Grobner-Shirshov basis, and the corresponding irreducible elements forms a PBW type basis o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0dc3b667d081c293f509cb40e904abc1
https://doi.org/10.1007/s10114-020-9547-2
https://doi.org/10.1007/s10114-020-9547-2
Publikováno v:
International Journal of Algebra and Computation. 28:1403-1423
We review Gröbner–Shirshov bases for Lie algebras and survey some new results on Gröbner–Shirshov bases for [Formula: see text]-Lie algebras, Gelfand–Dorfman–Novikov algebras, Leibniz algebras, etc. Some applications are given, in particula
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fc758b07a73e84b0f1e97dc5b44a86cf
https://doi.org/10.1142/s0218196718400027
https://doi.org/10.1142/s0218196718400027
Publikováno v:
Communications in Algebra. 46:4392-4402
In this paper, we first found a magmatic (i.e., absolutely non-associative) Grobner-Shirshov basis of a free Gelfand-Dorfman-Novikov algebra GDN(X) such that the corresponding set of irreducible magmatic words is the Dzhumadildaev-Lofwall linear basi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a375489b804519df95ecfa802840589
https://doi.org/10.1080/00927872.2018.1444168
https://doi.org/10.1080/00927872.2018.1444168
Autor:
Rabigul Tuniyaz, Abdukadir Obul
Publikováno v:
Rendiconti del Circolo Matematico di Palermo Series 2. 67:397-407
In this paper, we first give a presentation of the degenerate Ringel-Hall algebra $$\mathfrak {H}_0(D_4)$$ by using the Frobenius morphism and the multiplication formulas of the generic extension monoid algebra. Then, by using the relations which are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c6bddf2c2d648816ff79de35896bdb67
https://doi.org/10.1007/s12215-017-0321-y
https://doi.org/10.1007/s12215-017-0321-y
Autor:
Gulshadam Yunus, Abdukadir Obul
Publikováno v:
Algebra Colloquium. 24:109-122
In this paper, by using PBW bases for the twisted generic composition algebras of affine type, we prove that the set of the skew-commutator relations of the iso-classes of indecomposable representations forms a minimal Gröbner-Shirshov basis for the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6ed553e55f10192a65b25baaf2616a37
https://doi.org/10.1142/s1005386717000074
https://doi.org/10.1142/s1005386717000074
Autor:
Abdukadir Obul, Ghani Usta
Publikováno v:
Chinese Annals of Mathematics, Series B. 37:427-440
First, the authors give a Grobner-Shirshov basis of the finite-dimensional irreducible module Vq(λ) of the Drinfeld-Jimbo quantum group Uq(G2) by using the double free module method and the known Grobner-Shirshov basis of Uq(G2). Then, by specializi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::59d513f265f46c74142403f2dc65a5fd
https://doi.org/10.1007/s11401-016-0954-8
https://doi.org/10.1007/s11401-016-0954-8
Autor:
Zhenzhen Gao, Abdukadir Obul
Publikováno v:
Chinese Annals of Mathematics, Series B. 37:199-210
In this paper, by using the Frobenius morphism and the multiplication formulas of the generic extension monoid algebra, the authors first give a presentation of the degenerate Ringel-Hall algebra, and then construct the Grobner-Shirshov basis for deg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b943f4ad165a826fea46ba6962ff943a
https://doi.org/10.1007/s11401-016-1011-3
https://doi.org/10.1007/s11401-016-1011-3