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Algebra Comput."],"published-print":{"date-parts":[[2023,6]]},"abstract":"<jats:p>Let [Formula: see text] be a trivial extension of a ring [Formula: see text] by an [Formula: see text]-[Formula: see text]-bimodule [Formula: see text]. We first study the properties of pure projective and pure injective modules over [Formula: see text]. Then we characterize [Formula: see text]-injective modules over [Formula: see text]. Finally some applications are given to Morita context rings.<\/jats:p>","DOI":"10.1142\/s0218196723500315","type":"journal-article","created":{"date-parts":[[2023,4,30]],"date-time":"2023-04-30T04:47:36Z","timestamp":1682830056000},"page":"699-716","source":"Crossref","is-referenced-by-count":2,"title":["Pure projective, pure injective and FP-injective modules over trivial ring extensions"],"prefix":"10.1142","volume":"33","author":[{"given":"Lixin","family":"Mao","sequence":"first","affiliation":[{"name":"School of Mathematics and Physics, Nanjing Institute of Technology, Nanjing 211167, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2023,6,8]]},"reference":[{"key":"S0218196723500315BIB001","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1090\/S0002-9939-1981-0593450-2","volume":"81","author":"Cheatham T. J.","year":"1981","journal-title":"Proc. Amer. Math. 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