Open AccessOn direct product of algebraic sets over groups II
Author(s) -
A N Shevlyakov
Publication year - 2021
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 - 10.1088/1742-6596/1901/1/012050
Subject(s) - disjoint sets , group (periodic table) , product (mathematics) , direct product , algebraic equation , mathematics , algebraic number , set (abstract data type) , radical , algebra over a field , pure mathematics , discrete mathematics , computer science , physics , chemistry , mathematical analysis , quantum mechanics , geometry , nonlinear system , organic chemistry , programming language
We consider systems of group equations of the structure S = S 1 (X) US 2 (Y), where the set of variables X, Y are disjoint. Suppose we know the radicals of the systems S i . However we prove that the radical of the whole system Rad(S) may contain equations which are not derived from equations from Rad(S i ).