Gröbner–Shirshov Bases Theory for Trialgebras
نویسندگان
چکیده
We establish a method of Gröbner–Shirshov bases for trialgebras and show that there is unique reduced basis every ideal free trialgebra. As applications, we give the construction normal forms elements an arbitrary trisemigroup, in particular, A.V. Zhuchok’s (2019) commutative trisemigroups are rediscovered some abelian first constructed. Moreover, Gelfand–Kirillov dimension finitely generated trialgebra calculated, respectively.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2021
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math9111207