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- W2318042004 abstract "The existence of idempotent elements in baric algebras defined by $omega$-polynomial identities ($omega$-PI algebras) is an important problem for the study of genetic algebras. We conjecture here two criteria on the existence of an idempotent. These criteria are based on the existence of 1/2 as double root of a polynomial built from the identity defining a $omega$-PI algebra. We show that these criteria are true in all the algebras studied until now and for which we have results concerning the existence of idempotent elements." @default.
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- W2318042004 date "2011-01-01" @default.
- W2318042004 modified "2023-10-09" @default.
- W2318042004 title "Conjectures for the existence of an idempotent in $omega $-polynomial algebras" @default.
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- W2318042004 doi "https://doi.org/10.3934/dcdss.2011.4.1543" @default.
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