I've just finished my work.

[Maybo]

In the following conversations, which one is correct?

A:
Lucy: I've just finished my work.
Mary: OK. Let's go shopping.

B:
Lucy: I just finished my work.
Mary: OK. Let's go shopping.

 

[Piscean]

Both are correct. A is more natural in BrE. I believe B is more likely in AmE.

 

[Maybo]

Both are correct. A is more natural in BrE. I believe B is more likely in AmE.

What's their difference in meaning or emphasis? In this thread #10, you said that “I just remembered” and “I’ve just remembered” present the situation from two different viewpoints. What are the viewpoints?

 

[Piscean]

In BrE, the present perfect directs more focus on the present completedness of the situation. The past simple focuses on the fact this situation happened in past (however recent) time.

 

[Tarheel]

Lucy: I just finished. Work is done for the day.
Mary: Great! Let's go shopping.
Lucy: I want to go eat first.
Mary: OK. Let's go to Shomars.

@Maybo
I don't think there's a difference in emphasis in your sentences. I think the difference has to do with style.