Let $(V,d)$ be the finite dimensional differential graded algebra. Let $V=V_{1}\oplus V_{2},$ $d(V_{1})\subseteq V_{1}.$ If $d(v)=x+y,$ where $v$ belongs to bases of $V_{2}$ and $x\in V_{1},$ $0\neq y\in V_{2}.$ Can we write that $$(V,d)\cong (V_{1},d)\oplus (V_{2},d).$$
2026-05-10 23:24:07.1778455447
Decomposition of the differential graded algebra
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