On the structure of symmetric n-ary bands
نویسندگان
چکیده
We study the class of symmetric [Formula: see text]-ary bands. These are semigroups text] such that is invariant under action permutations and idempotent, i.e., satisfies for all text]. first provide a structure theorem these bands extends classical (strong) semilattice decomposition certain classes introduce concept strong we show exactly semilattices extensions Abelian groups whose exponents divide Finally, use to obtain necessary sufficient conditions band be reducible semigroup.
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ژورنال
عنوان ژورنال: International Journal of Algebra and Computation
سال: 2021
ISSN: ['0218-1967', '1793-6500']
DOI: https://doi.org/10.1142/s0218196721500478