Dr Barry Gardner
Reader
BSc Hons, PhD (Tas)
Contact Details
| Contact Campus |
Sandy Bay Campus |
| Building |
Maths-Physics Building |
| Room Reference |
443 |
| Telephone |
+61 3 6226 2444 |
| Fax |
+61 3 6226 2867 |
| Email |
gardner@hilbert.maths.utas.edu.au |
Teaching Responsibilities
Honours courses: Topology Abelian Groups and Modules Ring Theory
Units
Achievements
Books: 1. Radical Theory, Longman, Harlow, 1989. 2. (with R. Wiegandt) Radical Theory of Rings, Marcel Dekker, New York, 2004.
Conference Proceedings Edited: 1. Rings, Modules and Radicals. Proceedings of the Hobart Conference, 1987, Longman, Harlow, 1989. 2. (with Liu Shao-Xue and R. Wiegandt) Rings and Radicals. Proceedings of the Shijiazhuang Conference, 1994. Longman, Harlow, 1996.
Journal Articles: Radical decompositions of idempotent algebras, J. Austral. Math. Soc. Ser A 36(1984), 213-236.2 (with P.N.Stewart) Injectives for ring monomorphisms with accessible images II, Comm. Algebra 13(1985), 133-145. Radicals and varieties, Theory of Radicals (Eger, 1982) Colloq. Soc. Math. Já nos Bolyai, North-Holland, Amsterdam, 1985, 93-133. Some aspects of radical theory for fully ordered abelian groups, Comment. Math. Univ. Carolinae 26(1985), 821-837. Radical theory for algebras with a scheme of operators, Acta Math. Hungar 48(1986), 95-107. (with H.L.Chick) The preservation of some ring properties by semilattice sums, Comm. Algebra 15(1987), 1017-1038. (with P.N.Stewart) Injective and weakly injective rings, Canad. Math. Bull. 31(1988), 487-494. (with P.N.Stewart) The survival of the Jacobson radical in some ring extensions, Bull. Polish Acad. Sci. Math. 36(1988), 665-673. PBonka type sums over free products, Math. Nachr. 141(1989), 161-175. Some recent results and open problems concerning special radicals, Radical Theory (Proc. 1988 Sendai Conference) Uchida Rokakuho Publishing Company, Tokyo, 1989, 25-56. How to make many-sorted algebras one-sorted, Comment. Math. Univ. Carolinae 30(1989), 627-635. Prime rings for which the set of non-zero ideals is a special class, J. Austral. Math. Soc. Ser. A 51(1991), 27-32. (with P.N.Stewart) Prime essential rings, Proc. Edinburgh Math. Soc. 34(1991), 241-250. Radicals which define factorization systems, Comment. Math. Univ. Carolinae 32(1991), 601- 607. Strong semi-simplicity, Period. Math. Hungar. 24(1992), 23-35. Some cardinality conditions for ring radicals, Quaest. Math. 15(1992), 27-37. (with Liang Zhian) Small and large radical classes, Comm. Algebra. 20(1992), 2533-2551. (with J.M.Osborn and I.Shestakov) Varieties and tensor products, Nova J. Alg. Geom. 1(1992), 347-357. Some nil ring properties related to T-nilpotence, Bull. Austral. Math. Soc. 46(1992), 519-523 Strongly hereditary strict radicals and quotient categories of commutative rings, Colloq. Soc. Math. Já nos Bolyai (Proc. Szekszá rd Conference on Radicals, 1991) North-Holland, Amsterdam, 1993, 61-75. Free commutative semifields, Bull. Austral. Math. Soc. 48(1993), 41-46. Some abstract algebra from the elementary calculus course, Internat. J. Math. Educ. Sci. Technol. 24(1993), 781-789. The natural exponential comes before the natural logarithm, Internat. J. Math. Educ. Sci. Technol. 25(1994), 5-15. (with M.M.Parmenter) Directoids and directed groups, Algebra Univ. 33(1995), 254-273. Morphic orthogonality and radicals in categories, Rings and Radicals (Proc. Shijiazhuang,94), Longman, Harlow, 1996, 178-206. (with A.V.Kelarev) Invariant radicals, Proc. Roy. Soc. Edinburgh 127A(1997), 773-780. (with H.L.Chick) Commutative quasiregular rings with isomorphic additive and circle composition groups, II: rational algebras, Self-pseudoprojective completely decomposable abelian groups, Math. Pannonica 9(1998), 259-265. (with A.V.Kelarev) Two generalizations of T-nilpotence, Algebra Colloq. 5(1998), 449-458. (with T.Stokes) Closure rings, Comment. Math, Univ. Carolinae 40(1999), 413-427.
Information back to 2000.
- Research Funding
- Graduate Research Supervision
- Research Publications
Research Interests
Algebra; radical theory, ring theory, abelian groups, ordered groups, epimorphisms in concrete categories.
