Resumen: We extend the classical associative PI-theory to Associative Pairs, and in doing so, we introduce related notions already present for algebras (and Jordan systems) as the ones of PI-element and PI-ideal, extended centroid and central closure. Idioma: Inglés DOI: 10.1080/03081087.2019.1686452 Año: 2019 Publicado en: LINEAR & MULTILINEAR ALGEBRA (2019), [21 pp] ISSN: 0308-1087 Factor impacto JCR: 1.112 (2019) Categ. JCR: MATHEMATICS rank: 94 / 324 = 0.29 (2019) - Q2 - T1 Factor impacto SCIMAGO: 0.715 - Algebra and Number Theory (Q2)