The present invention relates, in a first embodiment, to agents for lightening keratinic fibers, containing at least two separately packaged preparations (A) and (B), and optionally a further preparation (C) packaged separately from (A) and (B), which are mixed immediately prior to application to form an application mixture. Preparation (A) includes at least one persulfate, at least one acrylate polymer, and carboxymethylcellulose, and preparation (B) is flowable and includes at least one oxidizing agent. Preparation (A) includes, based on its weight, a1) 0 to 3% by weight of keratin hydrolysate(s) and/or a2) 0 to 5% by weight of silicone oil(s), with the condition that preparation (A) includes, based on its weight, 0.1 to 6% by weight of compound(s) from the groups a1) and a2).
