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Equationally complete (m,n) rings. (English) Zbl 0461.16030

MSC:
16Y60Semirings
20N15$n$-ary systems $(n\ge 3)$ (group theory)
16P10Finite associative rings and finite-dimensional algebras
16DxxModules, bimodules and ideals (associative rings and algebras)
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Full Text: DOI
References:
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[2] Clark, D. M., andP. H. Krauss,Para Primal Algebras, Algebra Universalis,6 (1976), 165--192. · Zbl 0368.08004 · doi:10.1007/BF02485828
[3] Cohn, P. M.,Universal Algebra, Harper, New York, 1965.
[4] Crombez, G.,On (n, m)-rings, Abh. Math. Sem. Univ. Hamburg,37 (1972), 180--199. · Zbl 0247.08001 · doi:10.1007/BF02999695
[5] Kalicki, J. andD. Scott,Equational Completeness of Abstract Algebras, Indag. Math.17 (1955), 650--659. · Zbl 0073.24501
[6] Kaplansky, I.,Commutative Rings, Allyn & Bacon, Inc., Boston, 1970. · Zbl 0203.34601
[7] Leeson, J. J. andA. T. Butson,On the general theory of (m, n) rings, Algebra Universalis,11 (1980), 42--76. · Zbl 0461.16029 · doi:10.1007/BF02483082
[8] Monk, J. D. andF. M. Sioson,On the general theory of m-groups, Fund. Math.,72 (1971), 233--244. · Zbl 0226.20079
[9] Neumann, H.,Varieties of Groups, Springer Verlag, New York, 1967. · Zbl 0149.26704
[10] Orr, G. F.,The lattice of varieties of semirings, doctoral Dissertation, Univ. of Miami, 1973.
[11] Page, W. F.,The lattice of equational classes of m-semigroups, Doctoral Dissertation, Univ. of Miami, 1973. · Zbl 0287.08004
[12] Tarski, A.,Equationally complete rings and relation algebras, Indag. Math.,18 (1956), 39--46. · Zbl 0073.24603
[13] Taylor, W.,The Fine Spectrum of a Variety, Algebra Universalis,5 (1975), 263--303. · Zbl 0336.08004 · doi:10.1007/BF02485261