On Variations of m, n-Totally Projective Abelian p-Groups
Mathematica Moravica, Tome 18 (2014) no. 1.
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We define some new classes of p-torsion Abelian groups which are closely related to the definitions of n-totally projective, strongly n-totally projective and m; n-totally projective groups introduced by P. Keef and P. Danchev in J. Korean Math. Soc. (2013). We also study their critical properties, one of which is the so-named Nunke’s-esque property.
Mots-clés :
m, n-simply presented groups, m, n-totally projective groups, nicely m, n-totally projective groups, nicely m, n-co-totally projective groups, nicely m, n-strongly totally projective groups, nicely m, n-co-strongly totally projective groups
@article{MM3_2014_18_1_a4, author = {Peter Danchev}, title = {On {Variations} of m, {n-Totally} {Projective} {Abelian} {p-Groups}}, journal = {Mathematica Moravica}, pages = {39 - 53}, publisher = {mathdoc}, volume = {18}, number = {1}, year = {2014}, url = {https://geodesic-test.mathdoc.fr/item/MM3_2014_18_1_a4/} }
Peter Danchev. On Variations of m, n-Totally Projective Abelian p-Groups. Mathematica Moravica, Tome 18 (2014) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2014_18_1_a4/