In this paper,a new infinite-dimensional necklace Lie algebra is studied and the left and right index arrays of a necklace word in necklace Lie algebra is first defined.Using the left and right index arrays,we divide ...
funded by King Abdulaziz University,Deanship of Scientific Research(grant number RG-50-130-39).
Let A be a finitely generated associative algebra over a field of characteristic different from 2.Herstein asked when the Lie algebra[A,A]is finitely generated.Recently,it was shown that for a finitely generated nil a...
The author,Sachin Kumar,is grateful to the Science and Engi-neering Research Board(SERB),DST,India under project scheme Empowerment and Equity Opportunities for Excellence in Science(EEQ/2020/000238)for the financial support in carrying out this research.
Nonlinear evolution equations(NLEEs)are primarily relevant to nonlinear complex physical systems in a wide range of fields,including ocean physics,plasma physics,chemical physics,optical fibers,fluid dy-namics,biology...
the National Science Center(NCN)(Grant No.2014/14/E/ST1/00525);Institute of Mathematics,Polish Academy of Sciences(IMPAN)from the Simons Foundation(Grant No.346300);the Matching 2015-2019 Polish Ministry of Science and Higher Education(MNiSW)Fund,and the Research Foundation-Flanders-Polish Academy of Sciences(FWO-PAN).
Ge(2003)asked the question whether LF∞can be embedded into LF2 as a maximal subfactor.We answer it affirmatively with three different approaches,all containing the same key ingredient:the existence of maximal subgrou...
In this paper,we introduce a neutrosophic N-subalgebra,a(ultra)neutrosophic N-filter,level sets of these neutrosophic N-structures and their properties on a Sheffer stroke BL-algebra.By defining a quasi-subalgebra of ...
supported by National Nature Science Foundation of China(11871303,11701423);Nature Science Foundation of Hebei Province(A2019404009)。
Denote a finite dimensional Hopf C*-algebra by H, and a Hopf *-subalgebra of H by H1. In this paper, we study the construction of the field algebra in Hopf spin models determined by H1 together with its symmetry. More...
supported by National Natural Sciences Foundation of China(11501357,11571008);supported by National Natural Sciences Foundation of China(11871375)。
Let A be an infinite dimensional stably finite unital simple separable C^(*)-algebra.Let B■A be a stably(centrally)large subalgebra in A such that B is m-almost divisible(m-almost divisible,weakly(m,n)-divisible).The...
supported by an NSERC Discovery Grant;supported by the University of Connecticut and by the NSF CAREER grant (Grant No. DMS-1254567)
Let A be a(left and right) Noetherian ring that is semiperfect. Let e be an idempotent of A and consider the ring Γ :=(1-e)A(1-e) and the semi-simple right A-module Se := e A/e rad A. In this paper, we investigate th...
Supported by Ningbo Natural Science Foundation Project(Grant No.2013A610100);the Twelfth Five-Year Plan of Zhejiang Province Key Discipline-Computer Application Technology(Grant No.20121114);the Science Foundation Project of Ningbo University(Grant No.XYL13004)
In this paper, we apply the rough set theory to pseudo-BCK-algebras. As a generalization of pseudo-BCK-algebras, the notions of rough pseudo-BCK-algebras, rough subalgebras and rough pseudo-filters are introduced and ...