Results 1 to 10 of about 17,304 (183)

Idempotents in intensional type theory [PDF]

Logical Methods in Computer Science, 2017
We study idempotents in intensional Martin-L\"of type theory, and in particular the question of when and whether they split. We show that in the presence of propositional truncation and Voevodsky's univalence axiom, there exist idempotents that do not ...
Michael Shulman
doaj   +3 more sources

On the idempotents of Hecke algebras [PDF]

Letters in Mathematical Physics, 2008
We give a new construction of primitive idempotents of the Hecke algebras associated with the symmetric groups. The idempotents are found as evaluated products of certain rational functions thus providing a new version of the fusion procedure for the ...
A. F. Os’kin, A. I. Molev, A. Jucys, A. Jucys, A. P. Isaev, A.P. Isaev, G.E. Murphy, I.V. Cherednik, I.V. Cherednik, J. Grime, M. Nazarov, R. Dipper, V.F.R. Jones   +12 more
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Idempotents of Clifford Algebras

European Physical Journal D, 2003
A classification of idempotents in Clifford algebras C(p,q) is presented. It is shown that using isomorphisms between Clifford algebras C(p,q) and appropriate matrix rings, it is possible to classify idempotents in any Clifford algebra into continuous ...
Bertfried Fauser, Krzysztof Podlaski, Jakub Rembieliński   +2 more
exaly   +3 more sources

Local Generalized (α,β)-Derivations [PDF]

The Scientific World Journal, 2014
We study local generalized (α,β)-derivations on algebras generated by their idempotents and give some important applications of our results.
Ajda Fošner
doaj   +2 more sources

Primitive orthogonal idempotents for R-trivial monoids [PDF]

Journal of Algebra, 2011
We construct a recursive formula for a complete system of primitive orthogonal idempotents for any R-trivial monoid. This uses the newly proved equivalence between the notions of R-trivial monoid and weakly ordered monoid.
Chris Berg, Nantel Bergeron, Franco Saliola   +2 more
exaly   +2 more sources

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

Axioms
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
Dimitrinka Vladeva
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Idempotents in ring extensions

Journal of Algebra, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pramod Kanwar, André LeRoy, Jerzy Matczuk   +2 more
exaly   +3 more sources

NeutroAlgebra of Idempotents in Group Rings [PDF]

Neutrosophic Sets and Systems, 2022
In this paper, the authors study the new concept of NeutroAlgebra of idempotents in group rings. It is assumed that RG is the group ring of a group G over the ring R. R should be a commutative ring with unit 1.
Vasantha Kandasamy, Ilanthenral Kandasamy   +1 more
doaj   +1 more source

On automorphisms of strong semilattice of groups

Mathematics Open, 2022
In this paper, we consider the automorphisms of the strong semilattice of groups and relate them to the isomorphisms and automorphisms of underlying groups. We also provide a construction for non-trivial automorphisms of semilattices.
Aftab Hussain Shah, Dilawar Juneed Mir, Noor Mohammad Khan   +2 more
doaj   +1 more source

On Extendibility of Evolution Subalgebras Generated by Idempotents

Mathematics, 2023
In the present paper, we examined the extendibility of evolution subalgebras generated by idempotents of evolution algebras. The extendibility of the isomorphism of such subalgebras to the entire algebra was investigated.
Farrukh Mukhamedov, Izzat Qaralleh
doaj   +1 more source