Open AccessOn a generalization of strong flatness
Author(s) -
Valdis Laan
Publication year - 1998
Publication title -
acta et commentationes universitatis tartuensis de mathematica./acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.1998.02.08
Subject(s) - flatness (cosmology) , generalization , monoid , pure mathematics , mathematics , property (philosophy) , class (philosophy) , discrete mathematics , algebra over a field , computer science , mathematical analysis , philosophy , epistemology , artificial intelligence , physics , cosmology , quantum mechanics
Strong flatness or flatness of right acts over a monoid S has been the topic of many papers on homological classification of monoids during the last decades. It has turned out to be useful to consider a property called condition (P), which lies strictly between these two properties. In this paper we define a new condition (O) and show that the class of S-acts satisfying this condition lies strictly between the classes of strongly flat S-acts and S-acts satisfying condition (P).