Results 81 to 90 of about 128 (117)
Coordinate rings of regular nilpotent Hessenberg varieties in the open opposite schubert cell
Forum of Mathematics, SigmaDale Peterson has discovered a surprising result that the quantum cohomology ring of the flag variety $\operatorname {\mathrm {GL}}_n({\mathbb {C}})/B$ is isomorphic to the coordinate ring of the intersection of the Peterson variety ...
Tatsuya Horiguchi, Tomoaki Shirato
doaj +1 more source
On a question of Jaikin-Zapirain about the average order elements of finite groups [PDF]
International Journal of Group TheoryFor a finite group $G$, the average order $o(G)$ is defined to be the average of all order elements in $G$, that is $o( G)=\frac{1}{|G|}\sum_{x\in G}o(x)$, where $o(x)$ is the order of element $x$ in $G$.
Bijan Taeri, Ziba Tooshmalani
doaj +1 more source
Hermitian Characteristics Of Nilpotent Elements [PDF]
, 2004 We define and study several equivariant stratifications of the isotropy and coisotropy representations of a parabolic subgroup in a complex reductive group.
openaire +1 more source
On the ideals of extended quasi-nilpotent Banach algebras
International Journal of Mathematics and Mathematical Sciences, 1991 Given a quasi-nilpotent Banach algebra A, we will use the results of Seddighin [2], to study the properties of elements which belong to a proper closed two sided ideal of A¯ and A¯¯. Here A¯ is the extension of A to a Banach Algebra with identity.
Morteza Seddighin
doaj +1 more source
Notes on nilspaces: algebraic aspects
Discrete Analysis, 2017 Notes on nilspaces: algebraic aspects, Discrete Analysis 2017:15, 59 pp. One of the fundamental insights in modern additive combinatorics is that there is a hierarchy of notions of "pseudorandomness" or "higher order Fourier uniformity" that can be ...
Pablo Candela
doaj +1 more source
Rings in Which Every Quasi-nilpotent Element is Nilpotent
Turkish Journal of Mathematics and Computer ScienceA ring \( R \) is called a QN-ring if \( R \) satisfies the equation \( Q(R) = N(R) \). In this paper, we present some fundamental properties of the class of QN-rings. It is shown that for \( R \) being a 2-primal (nil-semicommutative) ring, \( R \) is a QN-ring if and only if \( Q(R) \) is a nil ideal; if \( R \) is a QN-ring, then \( R/J(R) \) is
openaire +2 more sources
Some Results about Acts over Monoid and Bounded Linear Operators
مجلة بغداد للعلومThis study delves into the properties of the associated act V over the monoid S of sinshT. It examines the relationship between faithful, finitely generated, and separated acts, as well as their connections to one-to-one and onto operators. Additionally,
Nadia M. J. Ibrahem +2 more
doaj +1 more source
Nilpotent elements in Grothendieck rings
Illinois Journal of Mathematics, 1988 Let \(M_ 1,...,M_ n\) be isomorphism classes of finitely presented modules over a commutative ring R. One forms the ring \({\mathbb{Z}}[M_ 1,...,M_ n]\) with \(\oplus\) and \(\otimes\) as addition and multiplication, and with the obvious relations. It is shown that if M and N are locally isomorphic, then there is an integer n, depending on M, N and R ...
openaire +3 more sources
Nilpotent elements in group rings
Manuscripta Mathematica, 1975 The main theorem gives necessary and sufficient conditions for the rational group algebra QG to be without (nonzero) nilpotent elements if G is a nilpotent or F·C group. For finite groups G, a characterisation of group rings RG over a commutative ring with the same property is given.
openaire +1 more source
Hermitian Characteristics of Nilpotent Elements
, 2002 We define and study several equivariant stratifications of the isotropy and coisotropy representations of a parabolic subgroup in a complex reductive group.
openaire +2 more sources