Isomorphism of modular group algebras of direct sums of torsion-complete abelian p-groups
Rendiconti del Seminario Matematico della Università di Padova, Tome 101 (1999), pp. 51-58. 
@article{RSMUP_1999__101__51_0,
     author = {Danchev, Peter V.},
     title = {Isomorphism of modular group algebras of direct sums of torsion-complete abelian $p$-groups},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {51--58},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {101},
     year = {1999},
     mrnumber = {1705279},
     zbl = {0959.20003},
     language = {en},
     url = {http://archive.numdam.org/item/RSMUP_1999__101__51_0/}
}
TY  - JOUR
AU  - Danchev, Peter V.
TI  - Isomorphism of modular group algebras of direct sums of torsion-complete abelian $p$-groups
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 1999
SP  - 51
EP  - 58
VL  - 101
PB  - Seminario Matematico of the University of Padua
UR  - http://archive.numdam.org/item/RSMUP_1999__101__51_0/
LA  - en
ID  - RSMUP_1999__101__51_0
ER  - 
%0 Journal Article
%A Danchev, Peter V.
%T Isomorphism of modular group algebras of direct sums of torsion-complete abelian $p$-groups
%J Rendiconti del Seminario Matematico della Università di Padova
%D 1999
%P 51-58
%V 101
%I Seminario Matematico of the University of Padua
%U http://archive.numdam.org/item/RSMUP_1999__101__51_0/
%G en
%F RSMUP_1999__101__51_0
Danchev, Peter V. Isomorphism of modular group algebras of direct sums of torsion-complete abelian $p$-groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 101 (1999), pp. 51-58. http://archive.numdam.org/item/RSMUP_1999__101__51_0/

[BRW] D. Beers - F. Richman - E.A. Walker, Group algebras of abelian groups, Rend. Sem. Mat. Univ. Padova, 69 (1983), pp. 41-50. | Numdam | MR | Zbl

[D] P.V. Danchev, Commutative group algebras of σ-summable abelian groups, Proc. Amer. Math. Soc., (9) 125 (1997), pp. 2559-2564. | Zbl

[DA] P.V. Danchev, Units in abelian group rings of prime characteristic, Compt. Rend. Acad. Bulg. Sci, (8) 48 (1995), pp. 5-8. | MR | Zbl

[F] L. Fuchs, Infinite Abelian Groups, vol. I and II, Mir, Moscow (1974 and 1977). | MR

[H] P. Hill, A classification of direct sums of closed groups, Acta Math. Acad. Sci. Hungar., 17 (1966), pp. 263-266. | MR | Zbl

[HI] P. Hill, The isomorphic refinement theorem for direct sums of closed groups, Proc. Amer. Math. Soc., 18 (1967), pp. 913-919. | MR | Zbl

[HU] P. Hill - W. Ullery, A note on a theorem of May concerning commutative group algebras, Proc. Amer. Math. Soc., (1) 110 (1990), pp. 59-63. | MR | Zbl

[IRW] J.M. Irwin - F. Richman - E.A. Walker, Countable direct sums of torsion complete groups, Proc. Amer. Math. Soc., 17 (1966), pp. 763-766. | MR | Zbl

[KAR] G. Karpilovsky, Unit Groups of Group Rings, North-Holland, Amsterdam (1989). | MR | Zbl

[KEEF] Patrick Keef, A class of primary abelian groups characterized by its socles, Proc. Amer. Math. Soc., (3) 115 (1992), pp. 647-653. | MR | Zbl

[KOL] G. Kolettisjr., Semi-complete primary abelian groups, Proc. Amer. Math. Soc., 11 (1960), pp. 200-205. | MR | Zbl

[M] W. May, Modular group algebras of totally projective p-primary groups, Proc. Amer. Math. Soc., (1) 76 (1979), pp. 31-34. | MR | Zbl

[MA] W. May, Modular group algebras of simply presented abelian groups, Proc. Amer. Math. Soc., (2) 104 (1988), pp. 403-409. | MR | Zbl

[MAY] W. May, The direct factor problem for modular abelian group algebras, Contemp. Math., 93 (1989), pp. 303-308. | MR | Zbl