Results 81 to 90 of about 206 (186)

Coordinate rings of regular nilpotent Hessenberg varieties in the open opposite schubert cell

open access: yesForum of Mathematics, Sigma
Dale 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

Rings with a finite set of nonnilpotents

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1979
Let R be a ring and let N denote the set of nilpotent elements of R. Let n be a nonnegative integer. The ring R is called a θn-ring if the number of elements in R which are not in N is at most n. The following theorem is proved: If R is a θn-ring, then R
Mohan S. Putcha, Adil Yaqub
doaj   +1 more source

Commutativity theorems for rings with constraints on commutators

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1991
In this paper, we generalize some well-known commutativity theorems for associative rings as follows: Let n>1, m, s, and t be fixed non-negative integers such that s≠m−1, or t≠n−1, and let R be a ring with unity 1 satisfying the polynomial identity ys[xn,
Hamza A. S. Abujabal
doaj   +1 more source

Some remarks on regular subgroups of the affine group [PDF]

open access: yesInternational Journal of Group Theory, 2012
Let $V$ be a vector space over a field $F$ of characteristic $pgeq 0$ and let $T$ be a regular subgroup of the affine group $AGL(V)$. In the finite dimensional case we show that, if $T$ is abelian or $p>0$, then $T$ is unipotent. For $T$ abelian, pushing
M. Chiara Tamburini Bellani
doaj  

Group rings with $FC$-nilpotent unit groups

open access: yesPublicacions Matemàtiques, 1991
Let U(RG) be the unit group of the group ring RG. Groups G such that U(RG) is FC-nilpotent are determined, where R is the ring of integers Z or a field K of characteristic ...
openaire   +6 more sources

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