A theory of extensions of quasi-algebras to algebras
J. Słomiński
GDML_Books, (1964), p.

CONTENTSINTRODUCTION...................................................................................................................................................................... 31. TERMS NOTATION AND LEMMAS.................................................................................................................................. 4A. Quasi-algebras and algebras....................................................................................................................................................................... 4B. Subquasi-algebras and sets of generators............................................................................................................................................... 4C. Homomorphisms of quasi-algebras.......................................................................................................................................................... 5D. Direct. products quasi-algebras and homomorphisms.......................................................................................................................... 10E. Congruences of quasi-algebras and homomorphisms.......................................................................................................................... 10F. Terms and equations...................................................................................................................................................................................... 14G. Analytical operations defined by terms in quasi-algebras...................................................................................................................... 15H. Tensor product of quasi-algebras................................................................................................................................................................ 16I. The general transposition law of operations and algebras of homomorphisms and of bilinears of quasi-algebras.................. 17J. The form of congruences determined by terms......................................................................................................................................... 20§ 2. ON EXTENDING QUASI-ALGEBRAS TO ALGEBRAS............................................................................................................................ 21§ 3. ON THE COMMON EXTENSION OF QUASI-ALGEBRAS TO ALGEBRAS.......................................................................................... 30§ 4. A THEORY OF EXTENSIONS OF MAP-SYSTEMS IN EQUATIONALLY DEFINABLE CLASSES OF ALGEBRAS........................ 33A. Map-systems in equationally definable clauses of algebras.................................................................................................................. 33B. Quasi-ideals and ideals in A-map-systems...................................................................................................................... 35C. On dividing map-systems by ideals............................................................................................................................................................ 41D. Operator-systems in equationally definable classes of algebras......................................................................................................... 43E. The equivalence of the notions of quasi-ideals and ideals for A-operator-systems over R..................................... 45§ 5. ALGEBRAS WITH DIFFERENTIAL OPERATORS................................................................................................................................... 52A. Algebras with differential operators over commutative, algebras R...................................................................................................... 53B. Algebras with differential operators in the classes in which the general transposition law of operations holds........................ 54References............................................................................................................................................................................................................ 61

EUDML-ID : urn:eudml:doc:268560 
@book{bwmeta1.element.desklight-250e7dcd-b6b4-4e96-b5eb-2b62ad1ee1a2,
     author = {J. S\l omi\'nski},
     title = {A theory of extensions of quasi-algebras to algebras},
     series = {GDML\_Books},
     publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
     address = {Warszawa},
     year = {1964},
     zbl = {0154.01301},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.desklight-250e7dcd-b6b4-4e96-b5eb-2b62ad1ee1a2}
}

J. Słomiński. A theory of extensions of quasi-algebras to algebras. GDML_Books (1964),  http://gdmltest.u-ga.fr/item/bwmeta1.element.desklight-250e7dcd-b6b4-4e96-b5eb-2b62ad1ee1a2/