(– 1, 1) ring of degree five satisfying the identity (x, yz, w) = y(x, z, w).
DOI:
https://doi.org/10.5269/bspm.70670Abstract
In this paper we describe (– 1, 1) ring of degree-5. We derive the condition for associativity of a third power associative (– 1, 1) ring of degree five satisfying the identity (x, yz, w) = y(x, z, w). The ring is also associative even when we induce the condition of the semiprimeness.
References
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2. Celik, H. A.(1971). Commutative associative rings and antiflexible rings. Pacific J. Math.38:351–358.
3. Celik, H. A. (1972). On primitive and Prime antiflexible rings. J. Algebra 20:428–440.
4. Jacobs, D. P., Muddana, S. V., Offutt, A. J., Prabhu, K. (0000). Albert 1.0 User’s Guide, Department of Computer Science, Clemson University.
5. Kleinfeld, E. (1955). Primitive alternative rings and semi-simplicity. Amr. J. Math.77:725- 730.
6. Kosier, F. (1962). On a class of nonflexible algebras. Trans. Amer. Math. Soc. 102:299– 318.
7. Rodabaugh, D. (1965). A generalization of flexible law. Trans. Amer. Math. Soc.114:468– 487.
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Published
2025-08-10
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