exactness for group

Definition

Let 20231214-exactness_for_group_45113362784fef18f7467a37e51b34f5bc3cc0a7.svg be groups, 20231214-exactness_for_group_d3e2ae0a4238d43fe8509da57beffe7bcf7d55b2.svg and 20231214-exactness_for_group_87743d19351fd0aad89e6cbcb9c8d3137817b26a.svg be group-homomorphism
then a sequence

20231214-exactness_for_group_b9178c1dfc9c14245507350c225a8766dec3ca1a.svg

is said to be exact at 20231214-exactness_for_group_b4b77105d9866b9727d21e4ed188243262cb0edc.svg, if

20231214-exactness_for_group_8bc8f8261ad9bf3cf4f08eeee75d7d0d4c3cc1dc.svg

Date: nil

Author: Anton Zakrewski

Created: 2025-01-15 Mi 20:24