There are no specific rules with respect to severance per se, but you may want to look up "continuity of employment".
Basically, if a new company takes over your company in an asset purchase, you are entitled to severance if your job is terminated. However, if the new company offers you employment on substantially the same terms as your existing job, then there does not need to be severance paid.
Quote:
"Upon receipt of an offer of employment from the buyer on substantially the same terms, an employee is expected to mitigate his or her losses by accepting the buyer's offer of employment. As such, vendors can reduce or obviate their obligation to pay severance to their employees by requiring the buyer, as part of the asset purchase agreement, to offer them employment on the same or better terms. In this scenario, buyers should be aware that unless there is an express agreement to the contrary, this means that the buyer inherits all of the obligations for the past service of the employees as well and should the buyer terminate the employment of any such employee in the future, the buyer's severance obligations will be based on the employee's full length of service with the business, and not from the day when the buyer acquired the business. To limit their future liability, buyers should seek advice about how to address these issues in the purchase agreement and employment offers, including negotiating an indemnity from the vendor if the deal is that the buyer will not inherit liability with respect to the past service of the employees with the vendor."
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