منابع مشابه
Inversive meadows and divisive meadows
An inversive meadow is a commutative ring with identity and a total multiplicative inverse operation satisfying 0 = 0. Previously, inversive meadows were shortly called meadows. In this paper, we introduce divisive meadows, which are inversive meadows with the multiplicative inverse operation replaced by a division operation. We introduce a translation from the terms over the signature of divis...
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متن کاملArithmetical meadows
An inversive meadow is a commutative ring with identity equipped with a total multiplicative inverse operation satisfying 0 −1 = 0. Previously, inversive meadows were shortly called meadows. A divisive meadow is an inversive meadows with the multiplicative inverse operation replaced by a division operation. In the spirit of Peacock's arithmetical algebra, we introduce variants of inversive and ...
متن کاملDifferential Meadows
A meadow is a zero totalised field (0 = 0), and a cancellation meadow is a meadow without proper zero divisors. In this paper we consider differential meadows, i.e., meadows equipped with differentiation operators. We give an equational axiomatization of these operators and thus obtain a finite basis for differential cancellation meadows. Using the Zariski topology we prove the existence of a d...
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ژورنال
عنوان ژورنال: Fast Capitalism
سال: 2009
ISSN: 1930-014X
DOI: 10.32855/fcapital.200903.005