Warren May

Professor Emeritus

Publications

• The isomorphism problem for modular abelian p-group algebras, J. Algebra Appl. 13 (2014).
• Joint complements and isomorphism of modular abelian group algebras, J. Algebra Appl. 12 (2013).
• Isomorphism of modular group algebras of p-mixed abelian groups (with T. Mollov and N. Nachev), Comm. in Algebra 38 (2010), 1988-1999.
• Units of modular p-mixed abelian group algebras, in "Models, Modules and Abelian Groups," 271-280, de Gruyter, Berlin, 2008.
• Outer automorphisms of endomorphism algebras, Colloq. Math. 106 (2006), 127-133.
• Totally projective unit groups in modular abelian group algebras, Forum Math. 18 (2006), 603-609.
• Modular group algebras of $\aleph_{1}$-separable p-groups (with R. Göbel), Proc. Amer. Math. Soc. 131 (2003), 2987-2992.
• Cancellation of direct sums of countable abelian p-groups (with R. Göbel), Proc. Amer. Math. Soc. 131 (2003), 2705-2710.
• Torsion-free modules with nearly unique endomorphism algebras, Comm. in Algebra 31 (2003), 1271-1278.
• The use of the finite topology on endomorphism rings, J. Pure and App. Algebra 163 (2001), 107-117.
• Modules over domains large in a complete discrete valuation ring (with P. Zanardo), Rocky Mountain J. Math. 30 (2000), 1421-1436.
• Abelian automorphism groups of countable rank, in "Abelian Groups and Modules" (Dublin 1998), 23-42,Trends Math., Birkhäuser Verlag, Basel, 1999.
• The Krull-Schmidt problem for modules over valuation domains (with B. Goldsmith), J. Pure and App. Algebra 140 (1999), 57-63.
• Nonhenselian valuation domains and the Krull-Schmidt property for torsion-free modules (with P. Zanardo), Forum Math. 10 (1998), 249-257.
• Free modules with two distinguished submodules (with M. Dugas and R. Göbel), Comm. in Algebra 25 (1997), 3473-3481.
• Endomorphism algebras of peak I-spaces over posets of infinite prinjective type (with R. Göbel), Trans. Amer. Math. Soc. 349 (1997), 3535-3567.
• The theorem of Baer and Kaplansky for mixed modules, J. Algebra 177 (1995), 255-263.
• Endomorphisms over incomplete discrete valuation domains, Contemp. Math. 171 (1994), 277-285.
• The construction of mixed modules from torsion modules (with R. Göbel), Arch. Math. 62 (1994), 199-202.
• Endomorphisms of valuated torsion-free modules, pp. 201-207 in "Abelian Groups," Proc. Curaçao Conf., Lecture Notes in Pure and Applied Mathematics, Vol. 146, Dekker, New York, 1993.
• Endomorphism algebras of not necessarily cotorsion-free modules, Contemp. Math.130 (1992), 257-264.
• Four submodules suffice for realizing algebras over commutative rings (with R. Göbel), J. Pure Appl. Algebra 65 (1990), 29-43.
• Isomorphism of endomorphism algebras over complete discrete valuation rings, Math. Z. 204 (1990), 483-499.
• Independence in completions and endomorphism algebras (with R. Göbel), Forum Math. 1 (1989), 215-226.
• The work of S.D. Berman on infinite abelian group rings, in "Representation Theory, Group Rings, and Coding Theory," Contemp. Math. 93 (1989), 39-46.
• The direct factor problem for modular abelian group algebras, in "Representation Theory, Group Rings, and Coding Theory," Contemp. Math. 93 (1989), 303-308.
• Endomorphism rings of mixed abelian groups, in "Abelian Groups," Contemp. Math. 87 (1989), 61-74.
• Modular group algebras of simply presented groups, Proc. Amer. Math. Soc. 104 (1988), 403-409.
• The construction of mixed modules from torsion-free modules (with R. Göbel), Arch. Math. 48 (1987), 476-490.
• The construction of mixed modules from a theorem of linear algebra (with R. Göbel), J. Algebra 110 (1987), 249-261.
• Unit groups and isomorphism theorems for commutative group algebras, Proc. Conf. on Group and Semigroup Rings, Johannesburg 1985, 163-178, North-Holland Mathematics Studies 126, North-Holland, Amsterdam, 1986.
• Classifying endomorphism rings of rank one mixed groups, in "Abelian Groups and Modules," Proc. Udine Conf. 1984, 253-263, CISM Courses and Lectures No. 287, Springer Verlag, Vienna, 1984.
• Endomorphisms of rank one mixed modules over discrete valuation rings (with E. Toubassi), Pac. Journal of Math. 108 (1983), 155-163.
• Isomorphism of endomorphism rings of rank one mixed groups (with E. Toubassi), J. Algebra 71 (1981), 508-514.
• Fields with free multiplicative groups modulo torsion, Rocky Mountain J. 10 (1980), 599-604.
• Multiplicative groups under field extension, Canad. J. Math. 31 (1979), 436-440.
• Modular group algebras of totally projective p-primary groups, Proc. Amer. Math. Soc. 76 (1979), 31-34.
• Endomorphism rings of abelian groups with ample divisible subgroups, Bull. London Math. Soc. 10 (1978), 270-272.
• Embedding of totally projective groups (with E. Toubassi), Arch. Math. 29 (1977), 465-471.
• A result on problem 87 of L. Fuchs (with E. Toubassi), Proc. Conf. on Abelian Group Theory, Las Cruces 1976, 354-367, Lecture Notes in Mathematics V. 616, Springer Verlag, New York, 1977.
• Endomorphisms of abelian groups and the theorem of Baer and Kaplansky (with E. Toubassi), J. Algebra 43 (1976), 1-13.
• Isomorphism of group algebras, J. Algebra 40 (1976), 10-18.
• Group algebras over finitely generated rings, J. Algebra 39 (1976), 483-511.
• Multiplicative groups of fields, Proc. London Math. Soc. 24 (1972), 295-306
• Invariants for commutative group algebras, Ill. Journal Math. 15 (1971), 525-531.
• Unit groups of infinite abelian extensions, Proc. Amer. Math. Soc. 25 (1970), 680-683.
• Commutative group algebras, Trans. Amer. Math. Soc. 136 (1969), 139-149.
• Representation by binary forms, J. Algebra 6 (1967), 157-184.
• Binary forms over number fields, Ann. of Math. 79 (1964), 597-615.