Open AccessOn weakly equational Noetherian direct powers of groups and semigroups
Author(s) -
Artem N. Shevlyakov
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1546/1/012102
Subject(s) - noetherian , mathematics , semigroup , pure mathematics , property (philosophy) , group (periodic table) , domain (mathematical analysis) , algebra over a field , physics , mathematical analysis , philosophy , epistemology , quantum mechanics
We study Diophantine equations over direct powers of groups and semigroups and prove that any direct power of a finite semigroup (group) with zero (resp. with the equational domain property) is weakly equationally Noetherian.