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- W2049225286 abstract "CONTENTSIntroductionDefinitions, notation, and results from the theory of quasigroupsChapter I. Identities in systems of quasigroups § 1. Definitions and examples § 2. General identities § 3. Conjugate identities § 4. Some remarks on hyperidentities § 5. Generalized identitiesChapter II. Functional equations on quasigroups. Systems of quasigroups with generalized associative, medial and transitive laws § 1. General associative law § 2. General medial law § 3. General transitive equation § 4. General distributive law § 5. General Stein identity. Orthogonal quasigroupsChapter III. Systems of quasigroups with generalized distributive law § 1. The connection of D-systems with commutative Moufang loops § 2. Maximal D-systems § 3. Commutative D-systems § 4. Properties of the transition permutations § 5. A criterion for generalized distributivity § 6. Homogeneity of the operations in a D-systemChapter IV. Systems of quasigroups with generalized Stein identity § 1. Definitions § 2. Auxiliary results § 3. Idempotence of the operations in D-systems § 4. Interdependence of n and s § 5. Connection between S-systems and D-systems §6. Complete S-systemsReferences" @default.
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- W2049225286 date "1965-02-28" @default.
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- W2049225286 title "SYSTEMS OF QUASIGROUPS WITH GENERALIZED IDENTITIES" @default.
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