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Intangible assets (Details) - EUR (€) € in Millions | 12 Months Ended
--- | ---
Dec. 31, 2020 | Dec. 31, 2019
Intangible assets |  |
Net carrying amount - beginning of the year | € 3,059 | € 3,170
Additions | 237 | 311
Amortization | (275) | (291)
Impairments | (54) | (117)
Reversals | 24 |
Write-off | (24) | (30)
Change in the scope of consolidation | 77 |
Currency translation differences | (83) | 22
Other changes | (25) | (6)
Net carrying amount at the end of the year | 2,936 | 3,059
Intangible assets with finite useful lives |  |
Intangible assets |  |
Net carrying amount - beginning of the year | 1,794 | 1,886
Additions | 237 | 311
Amortization | (275) | (291)
Impairments | (30) | (91)
Reversals | 24 |
Write-off | (24) | (30)
Change in the scope of consolidation | 7 |
Currency translation differences | (69) | 19
Other changes | (25) | (10)
Net carrying amount at the end of the year | 1,639 | 1,794
Exploration rights |  |
Intangible assets |  |
Net carrying amount - beginning of the year | 1,031 | 1,081
Additions | 18 | 78
Amortization | (53) | (81)
Impairments | (23) | (19)
Write-off | (19) | (28)
Currency translation differences | (66) | 18
Other changes |  | (18)
Net carrying amount at the end of the year | 888 | 1,031
Industrial patents and intellectual property rights |  |
Intangible assets |  |
Net carrying amount - beginning of the year | 195 | 221
Additions | 23 | 23
Amortization | (92) | (93)
Write-off | (5) | (1)
Other changes | 41 | 45
Net carrying amount at the end of the year | 162 | 195
Other intangible assets |  |
Intangible assets |  |
Net carrying amount - beginning of the year | 568 | 584
Additions | 196 | 210
Amortization | (130) | (117)
Impairments | (7) | (72)
Reversals | 24 |
Write-off |  | (1)
Change in the scope of consolidation | 7 |
Currency translation differences | (3) | 1
Other changes | (66) | (37)
Net carrying amount at the end of the year | 589 | 568
Goodwill |  |
Intangible assets |  |
Net carrying amount - beginning of the year | 1,265 | 1,284
Impairments | (24) | (26)
Change in the scope of consolidation | 70 |
Currency translation differences | (14) | 3
Other changes |  | 4
Net carrying amount at the end of the year | 1,297 | 1,265
Gross carrying amount | Intangible assets with finite useful lives |  |
Intangible assets |  |
Net carrying amount - beginning of the year | 7,718 |
Net carrying amount at the end of the year | 7,635 | 7,718
Gross carrying amount | Exploration rights |  |
Intangible assets |  |
Net carrying amount - beginning of the year | 1,748 |
Net carrying amount at the end of the year | 1,613 | 1,748
Gross carrying amount | Industrial patents and intellectual property rights |  |
Intangible assets |  |
Net carrying amount - beginning of the year | 1,597 |
Net carrying amount at the end of the year | 1,623 | 1,597
Gross carrying amount | Other intangible assets |  |
Intangible assets |  |
Net carrying amount - beginning of the year | 4,373 |
Net carrying amount at the end of the year | 4,399 | 4,373
Accumulated depreciation, amortisation and impairment | Intangible assets with finite useful lives |  |
Intangible assets |  |
Net carrying amount - beginning of the year | (5,924) |
Net carrying amount at the end of the year | (5,996) | (5,924)
Accumulated depreciation, amortisation and impairment | Exploration rights |  |
Intangible assets |  |
Net carrying amount - beginning of the year | (717) |
Net carrying amount at the end of the year | (725) | (717)
Accumulated depreciation, amortisation and impairment | Industrial patents and intellectual property rights |  |
Intangible assets |  |
Net carrying amount - beginning of the year | (1,402) |
Net carrying amount at the end of the year | (1,461) | (1,402)
Accumulated depreciation, amortisation and impairment | Other intangible assets |  |
Intangible assets |  |
Net carrying amount - beginning of the year | (3,805) |
Net carrying amount at the end of the year | € (3,810) | € (3,805)

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