On strongly almost m-omega(1)-p(omega+n)-projective abelian p-groups

For notHilegative integers m and n we define the class of strongly almost m-omega(1)-p(omega+n)-projective groups which properly encompasses the classes of strongly in-al-m-omega(1)-p(omega+n)-projective groups and strongly almost La:1-omega-p(n)-projectine groups, defined by the author in Dentonstr. Math. (2014) and Ilacettepe J. Math. Stat. (2015), respectively. Certain results about this new group class are proved as well as it is shown that, it shares many analogous basic properties as those of the aforementioned two group classes.