Clarification
Yes, it depends on how the final orders are worded. Also whether it was a do-it-yourself divorce with both spouses signing an agreement or just a poorly phrased document with inadequate wording to separate the "Spousal Support" award from the monthly obligation that trishy's ex had towards property settlement payments. As momma_tiger said, we don't know the specific language of the decree. Hopefully, trishy will clarify.
As it happens at least one state, Colorado, allows for purely spousal support to continue after remarriage if both agree to it and sign a "Separation Agreement". Surprised the heck out of me, but true. I agree with you that it doesn't seem right to me.
https://forum.freeadvice.com/showthread.php?s=&threadid=135291.
In most states that is not an option and any spousal support, whether temporary/rehabilitative or permanant ends upon the remarriage or cohabitation of the recipient.
Pam, in answer to your earlier question about whether you could work or not and still receive your spousal support/alimony - I don't see why not. Again it depends on how your award is worded, but in general if you received a "permanent" spousal award it was probably based on either the length of your marriage, contributions as a homemaker, your state of health or all. Permanent alimony awards are not easily modifiable unless the payor has a "life event" such as experiencing a significant reduction in income and of course, the payor's death.
Another question - does your decree say that your ex has to continue to carry you on his health insurance? I am assuming because you stated that you have never worked so you're probably not talking about receiving medicare/social security disability benefits. You can answer these specific questions on your earlier thread.