  Applying an efficient pattern-based computational method of generating the
so-called 'resonating' algebraic structures results in a broad class of the new
Lie (super)algebras. Those structures inherit the AdS base (anti)commutation
pattern and can be treated as the enlargements of the Poincar\'{e} or
Anti-de-Sitter (super)algebras. Obtained superalgebras are rooted in the
semigroup expansion method and Maxwell and Soroka-Soroka algebras, spanned by
the Lorentz generator $J_{ab}$, translations $P_{a}$ and additional
Lorentz-like generator $Z_{ab}$. Considered configurations include cases up to
two fermionic supercharges $Q_{\alpha}$ and offer interesting modifications to
the gauge (super)gravity theories.
