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- Title
Skew Incidence Rings and the Isomorphism Problem.
- Abstract
Let X be a finite partially ordered set, R an associative unital ring and σ an endomorphism of R. We describe some properties of the skew incidence ring I (X , R , σ) such as invertible elements, idempotents, the Jacobson radical and the center. Moreover, if two skew incidence rings I (X , R , σ) and I (Y , S , τ) are isomorphic and the only idempotents of R and S are the trivial ones, we show that the partially ordered sets X and Y are isomorphic.
- Subjects
ISOMORPHISM (Mathematics); PARTIALLY ordered sets; JACOBSON radical; ENDOMORPHISM rings; ASSOCIATIVE rings; IDEMPOTENTS; ENDOMORPHISMS
- Publication
Algebra Colloquium, 2022, Vol 29, Issue 3, p419
- ISSN
1005-3867
- Publication type
Article
- DOI
10.1142/S1005386722000311