Remarriage in other county without declaration of divorce

Decree of divorce obtained from Singaporean court is valid unless it was set aside and declared void by Indian court but this was not done hence your husband moved ahead and got remarried. You didn't object to the divorce proceedings in Singapore nor filled any matrimonial case like RCR in Indian court objecting to the foreign court proceedings and orders of that court. You had thus submitted to the jurisdiction of foreign court, now cannot raise objections to the jurisdiction of the foreign court in India.

The most important thing for us to know to give sound advice is that on what ground your husband has got divorce decree in Singapore.  If the ground like irretrivable break down of marriage was relied and on that ground, he got divorce decree, such decree is not valid in India and as such that decree is invalid and he is liable to be prosecuted for bigamy, if you are interested to pursue in that line.  On the other side, if his divorce decree was obtained on the ground of cruelty, desertion etc., which are the grounds available under HMA and also you submitted yourself in that foreign court, that divorce decree is valid and no offence can be alleged against him for his second marriage.  But, after all this, you are entitled to file maintainance case against him, if you are otherwise entitled for such relief or one time permanent alimony under Section 25 of HMA.  Your kids are definitely entitled to maintenance.

I endorse the view expressed by learned expert Mr.Prabhakar that the exact cause for which divorce proceedings were initiated and granted needs to be disclosed.   Further, what "ancilliary matter" was transferred to India and the present status there of also may please be stated.