Cold-rolled flat steel product for deep-drawing applications, - comprising a steel, which includes, in addition to iron and unavoidable impurities (in wt%), C: up to 0.1%, Al: 6.5 - 11%, P: up to 0.1%, S: up to 0.03%, N: up to 0.1%, at least one rare earth metal from the group "Ce, La" with the proviso that the content of rare earth metals amounts to 0.02 - 0.2%, whereby for the contents of Ce and La in relation to the content of oxygen taken up in the steel as a result of the production the following applies: 0.5 ≤ % Ce + % La / % ⁢ O ≤ 0.8, with %Ce = respective cerium content, %La = respective lanthanum content and %O respective oxygen content of the steel, in each case given in at%, and optionally one or more elements from the group "Mn, Si, Nb, Ti, Mo, Cr, Zr, V, W, Co, Ni, B, Cu, Ca, N" with the proviso, Mn: up to 6 %, Si: up to 1 %, Nb: up to 0.3%, Ti: up to 0.3%, Zr: up to 1%, V: up to 1%, W: up to 1%, Mo: up to 1%, Cr: up to 3%, Co: up to 1%, Ni: up to 2%, B: up to 0.1%, Cu: up to 3%, Ca: up to 0.015%, - whereby the cold-rolled flat steel product has an r-value which is at least 1, and - the structure of the cold-rolled flat steel product contains 0 to 0.1 vol% of κ-carbides. - comprising a steel, which includes, in addition to iron and unavoidable impurities (in wt%), C: up to 0.1%, Al: 6.5 - 11%, P: up to 0.1%, S: up to 0.03%, N: up to 0.1%, at least one rare earth metal from the group "Ce, La" with the proviso that the content of rare earth metals amounts to 0.02 - 0.2%, whereby for the contents of Ce and La in relation to the content of oxygen taken up in the steel as a result of the production the following applies: 0.5 ≤ % Ce + % La / % ⁢ O ≤ 0.8, with %Ce = respective cerium content, %La = respective lanthanum content and %O respective oxygen content of the steel, in each case given in at%, and optionally one or more elements from the group "Mn, Si, Nb, Ti, Mo, Cr, Zr, V, W, Co, Ni, B, Cu, Ca, N" with the proviso, Mn: up to 6 %, Si: up to 1 %, Nb: up to 0.3%, Ti: up to 0.3%, Zr: up to 1%, V: up to 1%, W: up to 1%, Mo: up to 1%, Cr: up to 3%, Co: up to 1%, Ni: up to 2%, B: up to 0.1%, Cu: up to 3%, Ca: up to 0.015%, C: up to 0.1%, Al: 6.5 - 11%, P: up to 0.1%, S: up to 0.03%, N: up to 0.1%, at least one rare earth metal from the group "Ce, La" with the proviso that the content of rare earth metals amounts to 0.02 - 0.2%, whereby for the contents of Ce and La in relation to the content of oxygen taken up in the steel as a result of the production the following applies: 0.5 ≤ % Ce + % La / % ⁢ O ≤ 0.8, with %Ce = respective cerium content, %La = respective lanthanum content and %O respective oxygen content of the steel, in each case given in at%, and optionally one or more elements from the group "Mn, Si, Nb, Ti, Mo, Cr, Zr, V, W, Co, Ni, B, Cu, Ca, N" with the proviso, Mn: up to 6 %, Si: up to 1 %, Nb: up to 0.3%, Ti: up to 0.3%, Zr: up to 1%, V: up to 1%, W: up to 1%, Mo: up to 1%, Cr: up to 3%, Co: up to 1%, Ni: up to 2%, B: up to 0.1%, Cu: up to 3%, Ca: up to 0.015%, - whereby the cold-rolled flat steel product has an r-value which is at least 1, and - the structure of the cold-rolled flat steel product contains 0 to 0.1 vol% of κ-carbides.