Brief answer in Jain terms:

• Jainism venerates the Tirthankaras (Mahavira, Parshvanath, etc.) as the supreme spiritual beings to be in remembrance and inner discipline. Worship of non-Jain deities is not a part of Jain doctrine.

• In some Swetambar temples, you may see Ganpati (Ganesha) and Saraswati idols present. This is not because Jainism teaches or endorses their worship, but rather reflects local cultural practices and historical interactions between Jain and Hindu communities in those regions.

• Possible reasons for their presence:

- Cultural syncretism: In many parts of India, temples and households often honor local deities alongside one’s own faith. Ganpati is sometimes invoked as the remover of obstacles at the start of a project or ceremony, and Saraswati as the goddess of knowledge. Some Jains participate in these customs as a cultural tradition without treating them as central religious objects. - Local temple customs: In certain Swetambar communities, deities from the surrounding Hindu milieu may be respectfully placed in temple spaces or courtyards as guardians of the temple or as part of communal heritage. This does not mean an endorsement of non-Jain worship within the core Jain doctrinal framework. - Distinction in practice: Digambar and Shwetambar communities differ in many ritual practices. While many Digambar followers emphasize renunciation and do not engage in worship of non-Jain deities, some Shwetambar temples historically adopted more inclusive local customs. The exact practice can vary by temple and region.

• Important caveat: This does not imply that Jainism teaches or promotes the worship of Ganpati or Saraswati. The core devotional focus remains on the Tirthankaras and Jain ethical/monastic practices. Where non-Jain deities appear, it is typically within a broader local-cultural context rather than a change in Jain doctrinal aims.

• If you’re curious about a specific temple's practices, the best approach is to consult that temple’s own guidance or ask the local Jain community for clarification, since practices can vary by place and tradition.