Definition:Left Zero
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Definition
Let $\struct {S, \circ}$ be an algebraic structure.
An element $z_L \in S$ is called a left zero element (or just left zero) if and only if:
- $\forall x \in S: z_L \circ x = z_L$
Also see
Sources
- 1964: W.E. Deskins: Abstract Algebra ... (previous) ... (next): Exercise $1.4: \ 10$
- 1965: J.A. Green: Sets and Groups ... (previous) ... (next): Chapter $4$. Groups: Exercise $6$