On rings satisfying certain polynomial identities.
Maurer, I.Gy., Szigeti, J. (1990)
Mathematica Pannonica
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Maurer, I.Gy., Szigeti, J. (1990)
Mathematica Pannonica
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Rendiconti del Seminario Matematico della Università di Padova
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Left selfdistributive rings (i.e., ) which are semidirect sums of boolean rings and rings nilpotent of index at most 3 are studied.
Hansen, D.J., Luh, Jiang, Ye, Youpei (1994)
International Journal of Mathematics and Mathematical Sciences
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It is well known that to every Boolean ring can be assigned a Boolean algebra whose operations are term operations of . Then a symmetric difference of together with the meet operation recover the original ring operations of . The aim of this paper is to show for what a ring a similar construction is possible. Of course, we do not construct a Boolean algebra but only so-called lattice-like structure which was introduced and treated by the authors in a previous paper. In particular,...