Cactus ID

Hi everyone. I wondered if anyone knew what cactus this is please. I am aware it is a common one but it means a lot to me. My mother entered a Care a home last year and I rescued this cactus as a very small plant( think she had taken a cutting at some time) before her home, our family home, was sold.
9I have already taken a cutting from it but I was wondering if it had a certain name? Does it ever flower?
Thanks in advance,

 

Looks like a Christmas/Easter type cactus. If I'm right it should flower but needs cooler dryer period during winter.
Looks healthy.

 

Thanks @dowtish , I hadn’t given it a thought that it could be a Xmas cactus as it’s so very different from our actual Christmas cactus. The leaves on the one above are more oval, smaller and without that definite ( sharp at some ends) shape to the leaves and slightly different colour too. I’ll have a look on line again and see if I can find it under your suggestion. Thanks again.

 

There are several varieties and hybrids of the 'Christmas cactus' / 'Easter cactus' and they are mainly types of Hatiora gaertneri and Hatiora rosea. It's difficult to tell what this one is until it flowers.

 

@Michael Hewett , my mother had lots of this cactus over the years and I never ever saw one flower. That’s why I was asking if they ever did flower and not thinking it could be a Xmas cactus. I’ve had the plant now for about 12 months or so now and although it’s grown I haven’t seen anything like the beginnings of a bud.
I’ve just quickly googled the hatiora gaertneri cactus and that does look quite similar to mine. Thank you for your help. At least I have a name for it now.

 

It needs a dry cool spell in the autumn, and that will encourage it to flower. It also needs a bright spot but not in direct sunshine.
I don't know why they call it 'Christmas Cactus', mine flower at any time from November until March, and I've even had them flowering in the summer on a few occasions.
I hope it flowers for you soon.

Sorry I made a mistake, the Christmas cactus is Rhipsalidopsis, the Easter cactus is Hatiora

The 'Easter cactus' can flower at any time from April until June. Their flowers are a different shape, being open like stars.

 

Thanks @Michael Hewett .