Abstract
It is shown that a variety of associative rings which has attainable identities in the class of all associatives ring has attainable identities in the class of all near—rings. We also give examples of varieties of near-rings which are, contrary to the ring case, closed under extensions but do not have attainable identities and varieties which are closed under extensions but not closed under essential extensions, respectively.
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Veldsman, S. Varieties and radicals of near-rings. Results. Math. 24, 356–371 (1993). https://doi.org/10.1007/BF03322344
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DOI: https://doi.org/10.1007/BF03322344