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Boolean Algebras Whose Ideals Are Disjointly Generated

Boolean Algebras Whose Ideals Are Disjointly Generated DEMONSTRATIO M A T H E M A T I C AVol. X V I I INo 11985Lutz HeindorfBOOLEAN ALGEBRAS WHOSE IDEALS ARE DISJOINTLYGENERATEDDedicated to the memoryof Professor Roman SikorskiI n t h i s paper we d e f i n e c l a s s e s of Boolean a l g e b r a s(BA's f o r s h o r t ) by imposing c o n d i t i o n s on t h e g e n e r a t i o nof i d e a l s . Demanding a l l i d e a l s of a r i n g t o be f i n i t e l y g e n e r a t e d , l e a d s t o t h e i m p o r t a n t c l a s s of N o e t h e r i a n r i n g s .For BA's, however, t h i s g i v e s n o t h i n g new, http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Demonstratio Mathematica de Gruyter

Boolean Algebras Whose Ideals Are Disjointly Generated

Demonstratio Mathematica , Volume 18 (1): 23 – Jan 1, 1985

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Publisher
de Gruyter
Copyright
© by Lutz Heindorf
ISSN
0420-1213
eISSN
2391-4661
DOI
10.1515/dema-1985-0106
Publisher site
See Article on Publisher Site

Abstract

DEMONSTRATIO M A T H E M A T I C AVol. X V I I INo 11985Lutz HeindorfBOOLEAN ALGEBRAS WHOSE IDEALS ARE DISJOINTLYGENERATEDDedicated to the memoryof Professor Roman SikorskiI n t h i s paper we d e f i n e c l a s s e s of Boolean a l g e b r a s(BA's f o r s h o r t ) by imposing c o n d i t i o n s on t h e g e n e r a t i o nof i d e a l s . Demanding a l l i d e a l s of a r i n g t o be f i n i t e l y g e n e r a t e d , l e a d s t o t h e i m p o r t a n t c l a s s of N o e t h e r i a n r i n g s .For BA's, however, t h i s g i v e s n o t h i n g new,

Journal

Demonstratio Mathematicade Gruyter

Published: Jan 1, 1985

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