Persistence and Atomic Generation for Varieties of Boolean Algebras with Operators Export

@article{citeulike:565391, abstract = {A variety V of Boolean algebras with operators is singleton-persistent if it contains a complex algebra whenever it contains the subalgebra generated by the singletons. V is atom-canonical if it contains the complex algebra of the atom structure of any of the atomic members of V. This paper explores relationships between these "persistence" properties and questions of whether V is generated by its complex algebras or its atomic members, or is closed under canonical embedding algebras or completions. It also develops a general theory of when operations involving complex algebras lead to the construction of elementary classes of relational structures.}, address = {Netherlands}, author = {Goldblatt, Robert}, citeulike-article-id = {565391}, citeulike-linkout-0 = {http://dx.doi.org/10.1023/A:1012491022267}, doi = {10.1023/A:1012491022267}, journal = {Studia Logica}, keywords = {boolean\_algebra, variety}, month = {June}, number = {2}, pages = {155--171}, posted-at = {2006-03-27 12:20:09}, priority = {0}, publisher = {Springer}, title = {Persistence and Atomic Generation for Varieties of Boolean Algebras with Operators}, url = {http://dx.doi.org/10.1023/A:1012491022267}, volume = {62}, year = {2001} }

TY - JOUR ID - citeulike:565391 L3 - citeulike-article-id:565391 N2 - A variety V of Boolean algebras with operators is singleton-persistent if it contains a complex algebra whenever it contains the subalgebra generated by the singletons. V is atom-canonical if it contains the complex algebra of the atom structure of any of the atomic members of V. This paper explores relationships between these "persistence" properties and questions of whether V is generated by its complex algebras or its atomic members, or is closed under canonical embedding algebras or completions. It also develops a general theory of when operations involving complex algebras lead to the construction of elementary classes of relational structures. IS - 2 JF - Studia Logica AD - Netherlands EP - 171 TI - Persistence and Atomic Generation for Varieties of Boolean Algebras with Operators PB - Springer VL - 62 SP - 155 KW - boolean_algebra KW - variety AU - Goldblatt, Robert PY - 2001/06// UR - http://dx.doi.org/10.1023/A:1012491022267 ER -