Not quite.
Nandrolone is similar to testosterone, but is actually a progestin. It is derived from progesterone, as is trenbelone.
The term 'nor' in chemical nomenclature means, roughly, the displacement of a CH, CH2, or CH3 on a molecular framework, and in the case of nor-testosterone, it is the removal of a CH3 from C10, and that being replaced by a hydrogen.
So both deca and tren are derived from nandrolone, which is derived from progesterone (hence the term 'progestin').
Trenbolone (17beta-hydroxyestra-4,9,11-trien-3-one)
'Tren' is short for 'tri-en', which is a reference to the additional double carbon bonds at positions 9 and 11.
In fact, it is the presence of the delta-9 group that prevents aromatization, since the body does not remove the group metabolically (tren does not undergo a 5-alpha reduction in humans, a supposition supported by the fact that urinary metabolites contain the intact delta-4 molecular structure).
Nandrolone itself binds strongly to the androgen receptor, but the delta 9,11 bonds enhance that proclivity even further.
Nandrolone and all of its derivitaves exhibit strong binding capacity to the progesterone receptor, but tren also exhibits a capacity to bind to the progesterone receptors even more so than progesterone itself, and to the progestin receptor more so than nandrolone.
In any event, it is quite clear that trenbelone is a derivative of nandrolone, which is a derivative of progesterone, rather than testosterone.