Results 11 to 20 of about 180 (93)
ANNIHILATING IDEAL AND EXACT ANNIHILATING IDEAL GRAPH OF RING Z_n [PDF]
, 2023 The existence of annihilator in the ring motivates the emergence of studies on Annihilating Ideal and Exact Annihilating Ideal Graphs. The purpose of this research is to describe the characteristics of an (exact) annihilating ideal of ring .
Susanto, Anindito Wisnu +3 more
core +2 more sources
Some classes of perfect strongly annihilating-ideal graphs associated with commutative rings [PDF]
, 2020 summary:Let $R$ be a commutative ring with identity and $A(R)$ be the set of ideals with nonzero annihilator. The strongly annihilating-ideal graph of $R$ is defined as the graph ${\rm SAG}(R)$ with the vertex set $A(R)^*=A(R)\setminus\{0\}$ and two ...
Rasouli, Hamid +3 more
core +2 more sources
When a line graph associated to annihilating-ideal graph of a lattice is planar or projective [PDF]
, 2018 summary:Let $(L,\wedge ,\vee )$ be a finite lattice with a least element 0. $\mathbb {A} G(L)$ is an annihilating-ideal graph of $L$ in which the vertex set is the set of all nontrivial ideals of $L$, and two distinct vertices $I$ and $J$ are adjacent if
Ahmad Javaheri, Khadijeh +1 more
core +1 more source
The exact annihilating-ideal graph of a commutative ring
, 2021 The rings considered in this article are commutative with identity. For an ideal $I$ of a ring $R$, we denote the annihilator of $I$ in $R$ by $Ann(I)$. An ideal $I$ of a ring $R$ is said to be an exact annihilating ideal if there exists a non-zero ideal
Premkumar T. LALCHANDANİ +2 more
core +1 more source
Pointed Hopf algebras over nonabelian groups with nonsimple standard braidings
Proceedings of the London Mathematical Society, Volume 127, Issue 4, Page 1185-1245, October 2023., 2023 Abstract We construct finite‐dimensional Hopf algebras whose coradical is the group algebra of a central extension of an abelian group. They fall into families associated to a semisimple Lie algebra together with a Dynkin diagram automorphism. We show conversely that every finite‐dimensional pointed Hopf algebra over a nonabelian group with nonsimple ...
Iván Angiono +2 more
wiley +1 more source
Extended Annihilating-Ideal Graph of a Commutative Ring
, 2022 Let $R$ be a commutative ring with identity. An ideal $I$ of a ring $R$ is called an annihilating-ideal if there exists a nonzero ideal $J$ of $R$ such that $IJ = (0)$ and we use the notation \(\mathbb{A}(R)\) for the set of all annihilating-ideals of $R$
Elavarasi, G., Nithya, S.
core +1 more source
Cellularity for weighted KLRW algebras of types B$B$, A(2)$A^{(2)}$, D(2)$D^{(2)}$
Journal of the London Mathematical Society, Volume 107, Issue 3, Page 1002-1044, March 2023., 2023 Abstract This paper constructs homogeneous affine sandwich cellular bases of weighted KLRW algebras in types BZ⩾0$B_{\mathbb {Z}_{\geqslant 0}}$, A2·e(2)$A^{(2)}_{2\cdot e}$, De+1(2)$D^{(2)}_{e+1}$. Our construction immediately gives homogeneous sandwich cellular bases for the finite‐dimensional quotients of these algebras. Since weighted KLRW algebras
Andrew Mathas, Daniel Tubbenhauer
wiley +1 more source
Linear relations with disjoint supports and average sizes of kernels
Journal of the London Mathematical Society, Volume 106, Issue 3, Page 1759-1809, October 2022., 2022 Abstract We study the effects of imposing linear relations within modules of matrices on average sizes of kernels. The relations that we consider can be described combinatorially in terms of partial colourings of grids. The cells of these grids correspond to positions in matrices and each defining relation involves all cells of a given colour. We prove
Angela Carnevale, Tobias Rossmann
wiley +1 more source
On Perfectness of Annihilating-Ideal Graph of $\mathbb{Z}_n$
, 2021 The annihilating-ideal graph of a commutative ring $R$ with unity is defined as the graph $\mathbb{AG}(R)$ with the vertex set is the set of all non-zero ideals with non-zero annihilators and two distinct vertices $I$ and $J$ are adjacent if and only if $
Biswas, Sucharita +2 more
core +1 more source
On the strongly annihilating-ideal graph of a commutative ring
, 2017 Let [Formula: see text] be a commutative ring with identity and [Formula: see text] be the set of ideals with nonzero annihilator. The strongly annihilating-ideal graph of [Formula: see text] is defined as the graph [Formula: see text] with the vertex ...
N. Kh. Tohidi +2 more
core +1 more source