[1] |
A. Abian, Direct product decomposition of commutative semi-simple rings,Proc. Amer. Math. Soc.,24 (1970), 502–507. · Zbl 0207.05002 |
[2] |
D. H. Adams, Semigroups with no non-zero nilpotent elements.Math. Z.,123 (1971), 168–176. · Zbl 0212.35803 · doi:10.1007/BF01110115 |
[3] |
M. Chacron, Direct products of division rings and a paper of Abian,Proc. Amer. Math. Soc.,29 (1971), 259–262. · Zbl 0251.16014 · doi:10.1090/S0002-9939-1971-0274512-X |
[4] |
W. H. Cornish, Subdirectly irreducible semirings and semigroups without non-zero nilpotents,Canad. Math. Bull.,16 (1973), 45–47. · Zbl 0271.16021 · doi:10.4153/CMB-1973-010-4 |
[5] |
W. H. Cornish, Boolean orthogonalities and minimal prime ideals,Communications in Algebra,3 (1975), 859–900. · Zbl 0375.06002 · doi:10.1080/00927877508822078 |
[6] |
W. H. Cornish andP. N. Stewart, Wealky regular algebras, Boolean orthogonalities and direct products of integral domains,Can. J. Math.,28 (1976), 148–153. · Zbl 0302.16016 · doi:10.4153/CJM-1976-018-7 |
[7] |
G. Davis, Rings with orthogonality relations,Bull. Austral. Math. Soc.,4 (1971), 163–178. · Zbl 0203.33901 · doi:10.1017/S0004972700046426 |
[8] |
G. Grätzer, Universal Algebra,Van Nostrand (Princeton 1968). |
[9] |
I. R. Hentzel, Alternative rings without nilpotent elements,Proc. Amer. Math. Soc.,42 (1974), 373–376. · Zbl 0253.17018 · doi:10.1090/S0002-9939-1974-0327858-3 |
[10] |
L. Levy, Unique subdirect sums of prime rings,Trans. Amer. Math. Soc.,106 (1963), 64–76. · Zbl 0113.25903 · doi:10.1090/S0002-9947-1963-0142567-9 |
[11] |
H. C. Myung andL. R. Jimenez, Direct product decomposition of alternative rings,Proc. Amer. Math. Soc.,47 (1975), 53–60. · Zbl 0301.17004 · doi:10.1090/S0002-9939-1975-0354796-3 |
[12] |
R. S. Pierce,Introduction to the Theory of Abstract Algebras (Holt, Rinehart and Winston (New York, 1968). |
[13] |
Ju. M. Rjabuhin, Algebras without nilpotents II,Algebra and Logic,8 (1969), 123–137. · doi:10.1007/BF02219832 |