Brief answer: Jainism and Zoroastrianism are not directly rooted in or derived from one another. They developed in different cultural regions (ancient India for Jainism; ancient Persia for Zoroastrianism) and crystallized their own distinct doctrines and practices. However, they share some broad Indo-Iranian cultural milieu from ancient times and, like many ancient traditions, show some parallel ethical concerns.

Key points:

• Origins: Jainism is an ancient Indian religion founded on the teachings of the Tirthankaras in the Indian subcontinent. Zoroastrianism arose in ancient Persia from the teachings attributed to the prophet Zoroaster (Zarathustra).
• Core teachings: Jainism emphasizes ahimsa (non-violence), anekantavada (many-sided truth), and aparigraha (non-attachment) as central principles. Zoroastrianism centers on the worship of Ahura Mazda, the cosmic struggle between truth (Asha) and falsehood, and the duties of good thoughts, good words, and good deeds.
• Relationship: There is no doctrinal lineage or sectarian connection between the two. They are independent traditions that may have interacted indirectly through trade and cultural exchange in the wider ancient world.
• Shared themes (at a high level): Both place importance on ethical conduct and non-violence in some form, and both arose in contexts where dharma/rightness and ethical living were central to spiritual aim. Beyond that, their metaphysics, cosmology, and soteriology follow very different paths.

If you’d like, I can point to Jain texts that discuss ethical universals and compare them with Zoroastrian ethical ideas from standard scholarly sources.