Beazer, R. Injectives in some small varieties of Ockham algebras. (English) Zbl 0539.06013 Glasg. Math. J. 25, 183-191 (1984). An MS-algebra is an algebra \(<L,\wedge,\vee,\circ,0,1>\) of type \(<2,2,1,0,0>\) such that \(<L,\wedge,\vee,0,1>\) is a bounded distributive lattice and \(\circ\) is a unary operation on L such that \((x\wedge y)\circ =x\circ \vee y\circ,\quad x\leq x\circ \circ,\quad 1\circ =0.\) The lattice of subvarieties of the variety MS of MS-algebras, together with the subdirectly irreducible MS-algebras, have been described by the reviewer and J. C. Varlet. Here the author describes the injective algebras in each of the twenty subvarieties of MS. Reviewer: T.S.Blyth Cited in 4 Documents MSC: 06D30 De Morgan algebras, Łukasiewicz algebras (lattice-theoretic aspects) 06B20 Varieties of lattices 08B15 Lattices of varieties 08B30 Injectives, projectives Keywords:bounded distributive lattice; lattice of subvarieties; subdirectly irreducible MS-algebras; injective algebras PDFBibTeX XMLCite \textit{R. Beazer}, Glasg. Math. J. 25, 183--191 (1984; Zbl 0539.06013) Full Text: DOI References: [1] Blyth, Proc. Roy. Soc. Edinburgh Sect. A 94A pp 301– (1983) · Zbl 0536.06013 · doi:10.1017/S0308210500015663 [2] DOI: 10.1007/BF01836429 · Zbl 0395.06007 · doi:10.1007/BF01836429 [3] Balbes, Distributive lattices (1974) [4] DOI: 10.1007/BF00370442 · Zbl 0425.06008 · doi:10.1007/BF00370442 [5] DOI: 10.1112/plms/s3-24.3.507 · Zbl 0323.06011 · doi:10.1112/plms/s3-24.3.507 [6] Blyth, Proc. Roy. Soc. Edinburgh Sect. A 95A pp 157– (1983) · Zbl 0544.06011 · doi:10.1017/S0308210500015869 [7] DOI: 10.1017/S0004972700007577 · Zbl 0477.06010 · doi:10.1017/S0004972700007577 [8] Gratzer, General lattice theory (1978) · doi:10.1007/978-3-0348-7633-9 [9] DOI: 10.1007/BF01214144 · Zbl 0402.08010 · doi:10.1007/BF01214144 [10] Davey, Houston J. Math. 5 pp 183– (1979) [11] Burris, A course in universal algebra (1981) · Zbl 0478.08001 · doi:10.1007/978-1-4613-8130-3 [12] DOI: 10.1112/blms/2.2.186 · Zbl 0201.01802 · doi:10.1112/blms/2.2.186 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.