I think you're definition has some good elements - about nationalizing wealth and production, but I don't get where violence has anything to do with socialism.

I think you're definition has some good elements - about nationalizing wealth and production, but I don't get where violence has anything to do with socialism. I've always considered Socialism to be "socializing" the provision of some goods instead of relying on the free market. Providing things like Street Cleaning, Birth Certificates, Roads, military, coast guard, street lighting, traffic lights, Police Services, K-12 education, Courts are all examples of common socialized goods by that definition. Different countries seem to socialize more (or less) than others. Some countries provide some spectrum of (more or less) socialized fire departments, health care, ambulances, emergency care, homeless shelters, etc... With that in mind - countries like the United States, particularly in the latter half of the 20th century, are quite socialist in comparison to previous eras (though obviously somewhat less so than other countries).