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Subalgebras that are cyclic as submodules. (English) Zbl 0333.17002


MSC:

17A99 General nonassociative rings
20N15 \(n\)-ary systems \((n\ge 3)\)
08Axx Algebraic structures
16Y60 Semirings
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References:

[1] BOURBAKI, N.: Commutative algebra. Addison-Wesley 1972. · Zbl 0279.13001
[2] COLEMAN, C.: Growth and decay estimates near non-elementary stationary points. Canad J. Math.22, 1156-1167 (1970). · Zbl 0231.34038 · doi:10.4153/CJM-1970-133-2
[3] HODGE, W.V.D., and D. PEDOE: Methods of algebraic geometry, Vol. I, Cambridge University Press 1947.
[4] KAPLANSKY, I.: Commutative rings. Allyn and Bacon 1970. · Zbl 0203.34601
[5] LANG, S.: Algebra, 2nd edition, Addison-Wesley 1967. · Zbl 0848.13001
[6] MARKUS, L.: Quadratic differential equations and non-associative algebras. Contributions to the theory of non-linear oscillations. Vol. V, p. 185-213. Princeton University Press 1960. · Zbl 0119.29803
[7] OSBORN, J.M.: Varieties of algebras. Advances in Mathematics8, 163-369 (1972). · Zbl 0232.17001 · doi:10.1016/0001-8708(72)90003-5
[8] SHAFAREVICH, I.R.: Basic algebraic geometry. Springer Verlag 1974. · Zbl 0284.14001
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