Results 61 to 70 of about 2,231 (145)

Rings with many idempotents [PDF]

open access: yes, 1999
We introduce a new stable range condition and investigate the structures of rings with many idempotents. These are also generalizations of corresponding results of J. Stock and H.
Huanyin Chen, Huanyin Chen
core   +1 more source

Analogues of the bicyclic semigroup in simple semigroups without idempotents [PDF]

open access: yes, 1987
SynopsisBy an important theorem of Andersen, any semigroup, containing idempotents, which is simple but not completely simple contains a copy of the bicyclic semigroup B = 〈a, b | ab = 1〉. In this paper the semigroups A = 〈a, b | a2b = a〉 and C = 〈a, b |
Peter R. Jones
core   +1 more source

On Optimal and Quantum Code Construction from Cyclic Codes over FqPQ with Applications. [PDF]

open access: yesEntropy (Basel), 2023
Ali S   +5 more
europepmc   +1 more source

On Constructing Orthogonal Idempotents

open access: yesRocky Mountain Journal of Mathematics, 2007
Let \(A\) be a commutative semisimple algebra over an algebraically closed field. Let \(e_1,\dots,e_{n-1}\), where \(3\leq n\leq\dim A\), be nontrivial orthogonal idempotents in \(A\) such that \(e_1,\dots,e_{n-2}\) are minimal. It is shown that then there exist nontrivial orthogonal idempotents \(q_1,\dots,q_n\) with \(q_1,\dots,q_{n-1}\) minimal.
openaire   +3 more sources

Idempotents for derangement numbers

open access: yesDiscrete Mathematics, 2003
The principal result of this paper locates a set of orthogonal idempotents in Solomon's descent algebra. The representations of the symmetric group arising from these idempotents have dimensions which are equal to the number of permutations with a particular number of fixed points.
openaire   +1 more source

Understanding idempotents in diagram semigroups [PDF]

open access: yes, 2018
PhD ThesisThe principal concern of this document is to develop and expose methodology for enumerating idempotents in certain semigroups of diagrams in the sense of [76].
Loughlin, Nicholas James
core  

Idempotent Triangular Matrices over Additively Idempotent Semirings: Decompositions into Products of Semicentral Idempotents

open access: yesAxioms
The explicit forms of idempotent and semicentral idempotent triangular matrices over an additively idempotent semiring are obtained. We define a diamond composition of idempotents and give a representation of an idempotent n×n matrix as an (n−1)th degree of a sum of diamond compositions of semicentral idempotents.
openaire   +2 more sources

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