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- W3106465170 abstract "Madden has shown that in contrast to the situation with frames, the smallest dense quotient of a $kappa$-frame need not be Boolean. We characterise these so-called d-reduced $kappa$-frames as those which may be embedded as a generating sub-$kappa$-frame of a Boolean frame. We introduce the notion of the closure of a $kappa$-frame congruence and call a congruence clear if it is the largest congruence with a given closure. These ideas are used to prove $kappa$-frame analogues of known results concerning Boolean frame quotients. In particular, we show that d-reduced $kappa$-frames are precisely the quotients of $kappa$-frames by clear congruences and that every $kappa$-frame congruence is the meet of clear congruences." @default.
- W3106465170 created "2020-11-23" @default.
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- W3106465170 date "2017-05-22" @default.
- W3106465170 modified "2023-10-08" @default.
- W3106465170 title "A special class of congruences on $${kappa}$$ κ -frames" @default.
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- W3106465170 doi "https://doi.org/10.1007/s00012-017-0439-y" @default.
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