The subdirect decomposition theorem for classes of structures closed under direct limits
1980 ◽
Vol 30
(2)
◽
pp. 171-179
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Keyword(s):
AbstractBy a theorem of G. Birkhoff, every algebra in an equationally defined class of algebras K is a subdirect product of subdirectly irreducible algebras of K. In this paper we show that this result is true for any class of structures. not necessarily algebraic, closed under isomorphisms and direct limits. Quasivarieties in the sense of Malcev are examples of such classes of structures. This includes Birkhoffs result as a particular case.
1979 ◽
Vol 75
(2)
◽
pp. 196-196
1984 ◽
Vol 25
(2)
◽
pp. 183-191
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2004 ◽
Vol 68
(1-2)
◽
pp. 98-107
◽
1979 ◽
Vol 75
(2)
◽
pp. 196
◽
2016 ◽
Vol 26
(01)
◽
pp. 123-155
2006 ◽
Vol 2006
◽
pp. 1-20
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1993 ◽
Vol 35
(2)
◽
pp. 189-201
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