These are not the same as the four incarnations of Ganesha that are described in the Ganesha Purana.
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Like the Ganesha Purana, the Mudgala Purana considers Ganesha to represent the ultimate reality of being.
Ganesha, Mudgala, and Hamsa, with only a few having been critically edited.
Ganesha | Bhagavata Purana | Vishnu Purana | Mudgala Purana | Ganesha Purana | Markandeya Purana | Vayu Purana | Skanda Purana | Purana Qila | My Friend Ganesha | ''Krishna Conquers the Serpent Kaliya'' (Page from a Dispersed Bhagavata Purana Series)- Brooklyn Museum | Gauri Ganesha | Consorts of Ganesha | Brihaddharma Purana | Brahma Vaivarta Purana | Bhāgavata Purāṇa | Agni Purana |