Can/how non windows domain machines access a share on the domain

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http://serverfault.com – The business is in the middle of migrating from windows workgroup to windows domain. We have a network share on the domain, that we want accessible to the workstations which still on workgroup. (we will be migrating the workstations as time allows) Domain administrator accounts can access the share from the workgroup machines, but standard user accounts cannot. Thanks. (HowTos)