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INTANGIBLE ASSETS: (Tables) | 12 Months Ended
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Dec. 31, 2022
INTANGIBLE ASSETS: |
Schedule of major classes of intangible assets and goodwill | ​
​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | At December 31,
(in millions) |  | 2022 |  | 2021
Mining concessions | ​ | $ | 121.2 | ​ | $ | 121.2
Mine engineering and development studies | ​ |  | 19.8 | ​ |  | 19.8
Software | ​ |  | 70.3 | ​ |  | 65.4
​ | ​ |  | 211.3 | ​ |  | 206.4
Accumulated amortization: | ​ |  | ​ | ​ | ​ | ​
Mining concessions | ​ | ​ | (42.2) | ​ | ​ | (40.4)
Mine engineering and development studies | ​ | ​ | (19.2) | ​ | ​ | (18.2)
Software | ​ | ​ | (57.1) | ​ | ​ | (51.6)
​ | ​ | ​ | (118.5) | ​ | ​ | (110.2)
Goodwill | ​ |  | 41.9 | ​ |  | 41.9
Intangible assets, net | ​ | $ | 134.7 | ​ | $ | 138.1
​
Schedule of estimated amortization of intangible assets for future periods | ​
​ | ​ | ​ | ​
Estimated amortization expense (in millions): |  | ​ | ​
2023 | ​ | $ | 6.9
2024 | ​ | ​ | 5.8
2025 | ​ | ​ | 5.1
2026 | ​ | ​ | 1.8
2027 | ​ | ​ | 1.8
Total 2023 - 2027 | ​ | $ | 21.4
Average annual | ​ | $ | 4.3
​

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