Geodesic
Pre-solid varieties of semigroups
Archivum mathematicum, Tome 31 (1995) no. 3, pp. 171-181 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Pre-hyperidentities generalize the concept of a hyperidentity. A variety $V$ is said to be pre-solid if every identity in $V$ is a pre-hyperidentity. Every solid variety is pre-solid. We consider pre-solid varieties of semigroups which are not solid, determine the smallest and the largest of them, and some elements in this interval.
Pre-hyperidentities generalize the concept of a hyperidentity. A variety $V$ is said to be pre-solid if every identity in $V$ is a pre-hyperidentity. Every solid variety is pre-solid. We consider pre-solid varieties of semigroups which are not solid, determine the smallest and the largest of them, and some elements in this interval.
Classification : 08B15, 20M07
Keywords: hyperidentity; pre-hyperidentity; pre-solid variety 
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Denecke, K.; Koppitz, J. Pre-solid varieties of semigroups. Archivum mathematicum, Tome 31 (1995) no. 3, pp. 171-181. http://geodesic.mathdoc.fr/item/ARM_1995_31_3_a1/

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