Linux

Okay, maybe Lithuanian will explain better to an Estonian:

Once in the 19th century there was a rapid industrialization. Farmers and citizen guild-workers lost their economical value and had to turn into factory workers. At that time, there was massive unemployment, and factory owners were unregulated. Then a philosopher Karl Marx went in, and started to analyse. He concluded that, in history, it's always 'slaves vs landowners', then 'peasants vs seniors', and ultimately 'workers vs enterprise owners (bourgeoisie)'. He named this phenomenon 'class struggle', and hypothesised that, after workers will defeat bourgeoisie, then it would be possible to create a perfect egalitarian society with no exploitation, in which people have all the rights except the right to be rich. That was called 'Communism', a proposed ideal society.

His ideas attracted many followers, which were split into several political campus, for instance, Socialist democracy ('mild' socialism, rich people pay more taxes, etc.), Anarcho-Communism (no state, no regulations, lived only for a short period of time in Ukraine), and many more.

Then V. Lenin came in, and told there must be a 'peasants' revolution' that abolishes the existing state(s), kill all the enemies of that revolution, become a Socialist country (ie. State controls all the economy) and then slowly progress into Communism. His practices were furthermore refined by Stalin and were called 'Marxism-Leninism'. History of the USSR shows that the power of a Socialist state can be used to create a totalitarian prison.

So 'Communism' can mean either an egalitarian society or heading towards that direction, basically.

You lived in a country that called itself communist, in the same way that North Koreans live in a country that calls itself democratic. There has never been a country that actually achieved communism, because communism requires there be no state. At best these countries would claim that communism was their goal, but honestly most were lying, or at the very least co-opted and turned against their ideals somewhere down the line.

There are a variety of views from different authors and political experiences. But they're mostly rooted on not having privately owned means of production (a consensus exists for big corporations at least). This would mean big corporations cannot be privately owned, it must belong to the workers themselves. This implies the destination of profits should be decided between its workers, and not its owners. This might even make many more people rich than just some random dude (like Musk) for owning the whole thing.

In general, there is no contradiction between being rich and communism. In fact, the workers should get the profits for what they build.