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.
|الصفحات (من إلى)||356-371|
|دورية||Results in Mathematics|
|المعرِّفات الرقمية للأشياء|
|حالة النشر||Published - نوفمبر 1993|
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