REFERENCES
- Berman , S. D. ( 1967 ). Group algebras of countable abelian p-groups . Publ. Math. Debrecen 14 : 365 – 405 .
- Berman , S. D. , Mollov , T. Zh. ( 1981 ). Decomposability of the bases and isomorphisms of group rings of abelian groups . PLISKA Stud. Math. Bulgar. 2 : 6 – 22 .
- Danchev , P. V. ( 1998 ). Isomorphism of commutative group algebras of mixed splitting groups . Compt. Rend. Acad. Bulg. Sci. 51 : 13 – 16 .
- Danchev , P. V. ( 2000 ). Isomorphism of modular group algebras of totally projective abelian groups . Communications in Algebra 28 : 2521 – 2531 .
- Danchev , P. V. ( 2001 ). On a question of W. L. May concerning the isomorphism of modular group algebras . Communications in Algebra 29 : 1953 – 1958 .
- Danchev , P. V. ( 2001 ). Normed units in Abelian group rings . Glasg. Math. J. 43 : 365 – 373 .
- Danchev , P. V. ( 2002 ). Invariants for group algebras of splitting abelian groups with simply presented components . Compt. Rend. Acad. Bulg. Sci. 55 : 5 – 8 .
- Danchev , P. V. ( 2004 ). A note on the isomorphic modular group algebras of abelian groups with simply presented p-components . Compt. Rend. Acad. Bulg. Sci. 57 : 13 – 14 .
- Fuchs , L. ( 1970/1973 ). Infinite Abelian Groups . Vols. I and II . New York : Academic Press .
- Griffith , P. ( 1970 ). Extensions of free groups by torsion groups . Proc. Amer. Math. Soc. 24 : 677 – 679 .
- Hill , P. , Ullery , W. (1997). On commutative group algebras of mixed groups. Communications in Algebra 25:4029–4038.
- Linton , R. , Megibben , Ch. ( 1977 ). Extensions of totally projective groups . Proc. Amer. Math. Soc. 64 : 35 – 38 .
- May , W. ( 1969 ). Commutative group algebras . Trans. Amer. Math Soc. 136 : 139 – 149 .
- May , W. ( 1979 ). Modular group algebras of totally projective p-primary groups . Proc. Amer. Math. Soc. 76 : 31 – 34 .
- May , W. ( 1988 ). Modular group algebras of simply presented abelian groups . Proc. Amer. Math. Soc. 104 : 403 – 409 .
- May , W. ( 2006 ). Totally projective unit groups in modular abelian group algebras . Forum Math. 18 : 603 – 609 .
- Mollov , T. Zh. ( 1981 ). Ulm invariants of the Sylow p-subgroups for group algebras of abelian groups over a field of characteristic p (Russian) . Pliska, Stud. Math. Bulg. 2 : 77 – 82 .
- Ullery , W. ( 1986 ). A conjecture relating to the isomorphism problem for commutative group algebras . In: Group and Semigroup Rings . Vol. 126 . North-Holland Math. Stud . pp. 247 – 252 .
- Communicated by V. Artamonov.