A positive electrode active material for lithium-ion rechargeable batteries comprises particles having Li, M′, and oxygen, wherein M′ comprises Ni, in a content x, wherein x≥80 at %; Co in a content y, wherein 0.01≤y≤20.0 at %; Y in a content b, wherein 0.01≤b≤2.0 at %; and Zr in a content c…