Anna Avallone, Anna De Simone, Paolo Vitolo (2006)
Bollettino dell'Unione Matematica Italiana
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We investigate the existence of a Caratheodory type extension for modular measures defined on lattice-ordered effect algebras.
K. P. S. Bhaskara Rao, B. V. Rao (1975)
Colloquium Mathematicae
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K. P. S. Bhaskara Rao, B. V. Rao (1979)
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Beloslav Riečan (1974)
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Artur Bartoszewicz (1978)
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Zapiski Nauchnykh Seminarov POMI
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Marcus Tressl (2002)
Banach Center Publications
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Tarek Sayed Ahmed (2002)
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SC, CA, QA and QEA stand for the classes of Pinter's substitution algebras, Tarski's cylindric algebras, Halmos' quasipolyadic algebras and Halmos' quasipolyadic algebras with equality, respectively. Generalizing a result of Andréka and Németi on cylindric algebras, we show that for K ∈ SC,QA,CA,QEA and any β > 2 the class of 2-dimensional neat reducts of β-dimensional algebras in K is not closed under forming elementary subalgebras, hence is not elementary. Whether this result extends...