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» Kalathoor Varadarajan
Kalathoor Varadarajan
Professor Emeritus - Mathematics & Statistics
+1 (403) 220-7225
MS 337
kvaradar@ucalgary.ca
Research Interests
Study of acyclicity of certain homeomorphism groups and problems on imbedding large free groups into homeomorphism groups
Study of Hopfian and co-Hopfian objects in various categories
Problems in ring theory and homological algebra
Homological methods in group theory and low dimensional toplogy
Currently Teaching
Not currently teaching any courses.
view past courses
Publications
Book
Varadarajan, Kalathoor
.
Some recent results on {H}opficity, co-{H}opficity and related properties
, Birkh\"auser Boston, 2001. 371-392.
Varadarajan, Kalathoor
.
The finiteness obstruction of {C}. {T}. {C}. {W}all
, John Wiley \& Sons Inc., 1989. xii+194.
Varadarajan, Kalathoor
.
Projective and free approximations
37. Amer. Math. Soc., 1985. 153-161.
Narasimhan, M. S., Ramanan, S. , Sridharan, R. and
Varadarajan, Kalathoor
.
Algebraic topology
2. Tata Institute of Fundamental Research, 1964. v+39.
Varadarajan, Kalathoor
.
Dimension, category and {$K(\Pi ,\,n)$} spaces
Academic Press, 1962. 354-355.
Journal Paper
Varadarajan, Kalathoor
.
Criteria for the asphericity of 2-complexes
97.4 2002. 333-337.
Haghany, A. and
Varadarajan, Kalathoor
.
I{BN} and related properties for rings
94.3 2002. 251-261.
Varadarajan, Kalathoor
.
Generalized power series modules
29.3 2001. 1281-1294.
Varadarajan, Kalathoor
.
Noetherian generalized power series rings and modules
29.1 2001. 245-251.
Varadarajan, Kalathoor
.
R{RF} rings which are not {LRF}
110.2 2000. 133-136.
Deo, S. and
Varadarajan, Kalathoor
.
Some finiteness properties of groups and their automorphism groups
7.4 2000. 411-424.
Varadarajan, Kalathoor
.
Study of {H}opficity in certain classes of rings
28.2 2000. 771-783.
Haghany, A. and
Varadarajan, Kalathoor
.
Study of modules over formal triangular matrix rings
147.1 2000. 41-58.
Haghany, A. and
Varadarajan, Kalathoor
.
Matricial repetitiveness and strong {$\pi$}-regularity of the ring of a {M}orita context
26.1 2000. 41-50.
Varadarajan, Kalathoor
.
Rings with all modules residually finite
109.4 1999. 345-351.
Haghany, A. and
Varadarajan, Kalathoor
.
Study of formal triangular matrix rings
27.11 1999. 5507-5525.
Varadarajan, Kalathoor
.
On {H}opfian rings
83.1-2 1999. 17-26.
Nicholson, W. Keith
and
Varadarajan, Kalathoor
.
Countable linear transformations are clean
126.1 1998. 61-64.
Varadarajan, Kalathoor
.
Perfect modules
78.1-2 1998. 1-9.
Varadarajan, Kalathoor
.
Corrections to: ``{O}n certain homeomorphism groups'' [{J}.\ {P}ure {A}ppl.\ {A}lgebra {\bf 92} (1994), no.\ 2, 191-197; \refmr {MR}1261126 (95e:22004)\endrefmr]
114.2 1997. 217-219.
Varadarajan, Kalathoor
.
Properties of endomorphism rings
74.1-2 1997. 83-92.
Deo, Satya and
Varadarajan, Kalathoor
.
Discrete groups and discontinuous actions
27.2 1997. 559-583.
Deo, Satya and
Varadarajan, Kalathoor
.
Hopfian and co-{H}opfian groups
56.1 1997. 17-24.
Sankaran, N. and
Varadarajan, Kalathoor
.
Formally real rings and their real closure
70.1-2 1996. 101-120.
Nicholson, W. Keith
and
Varadarajan, Kalathoor
.
Endomorphisms and global dimension
67.1-2 1995. 93-96.
Nicholson, W. Keith
and
Varadarajan, Kalathoor
.
Complement preserving operators
30.3 1995. 225-232.
Deo, Satya and
Varadarajan, Kalathoor
.
Hopfian and co-{H}opfian zero-dimensional spaces
9.2 1994. 177-202.
Varadarajan, Kalathoor
.
A note on the homotopy type of posets
126.1-3 1994. 313-323.
Varadarajan, Kalathoor
.
On certain homeomorphism groups
92.2 1994. 191-197.
F.O. Farid and
Varadarajan, Kalathoor
.
Isometric shift Operators on C(X)
46.3 1994. 532-542.
Berrick, A. J. and
Varadarajan, Kalathoor
.
Binate towers of groups
62.2 1994. 97-111.
Varadarajan, Kalathoor
.
Residual finiteness in rings and modules
8.1-2 1993. 29-48.
Breckenridge, J. W.,
Varadarajan, Kalathoor
and Wehrhahn, K. H.
.
Chains, multichains and {M}\"obius numbers
120.1-3 1993. 37-50.
Bryden, John
and
Varadarajan, Kalathoor
.
Witt vectors which are rational functions
21.11 1993. 4263-4270.
Varadarajan, Kalathoor
.
Group actions on flag manifolds and cobordism
45.3 1993. 650-661.
Varadarajan, Kalathoor
.
Hopficity of cyclic modules
15.7 1992. 217-221.
Varadarajan, Kalathoor
.
A note on the {H}opficity of {$M[X]$} or {$M[\![X]\!]$}
15.2 1992. 53-56.
Varadarajan, Kalathoor
.
On certain classes of modules
36.2B 1992. 1011-1027 (1993).
Varadarajan, Kalathoor
.
Hopfian and co-{H}opfian objects
36.1 1992. 293-317.
Varadarajan, Kalathoor
.
On the separability of product spaces
61.1-4 1992. 117-122.
Deo, Satya and
Varadarajan, Kalathoor
.
Some examples of nontaut subspaces
147.1 1991. 47-56.
Varadarajan, Kalathoor
.
Erratum: ``{V}erschiebung and {F}robenius operators'' [{P}roc.\ {I}ndian {A}cad.\ {S}ci.\ {M}ath.\ {S}ci.\ {\bf 100} (1990), no.\ 1, 37-43; \refmr {MR}1051088 (91c:13021)\endrefmr]
100.3 1990. 303.
Varadarajan, Kalathoor
.
Verschiebung and {F}robenius operators
100.1 1990. 37-43.
Varadarajan, Kalathoor
and Wehrhahn, K.
.
Aperiodic rings, necklace rings, and {W}itt vectors
81.1 1990. 1-29.
Varadarajan, Kalathoor
.
Acyclicity of certain homeomorphism groups
42.1 1990. 80-94.
Varadarajan, Kalathoor
.
Aperiodic rings, necklace rings and {W}itt vectors. {II}
99.1 1989. 7-15.
Varadarajan, Kalathoor
.
The incidence ring of a poset
31.1 1989. 59-64.
Varadarajan, Kalathoor
and Wani, P. R.
.
Modules over endomorphism rings. {II}
53.3-4 1989. 309-337.
Varadarajan, Kalathoor
.
Some remarks on pseudo-mitotic groups
29.3 1987. 283-293 (1988).
Mollin, Richard
, Small, C. ,
Varadarajan, Kalathoor
and Walsh, P. G.
.
On unit solutions of the equation {$xyz=x+y+z$} in the ring of integers of a quadratic field
48.4 1987. 341-345.
Varadarajan, Kalathoor
.
On a query of {M}. {A}yad
50.1-4 1986. 211-212 (1988).
Varadarajan, Kalathoor
.
Free approximations
8.4 1986. 315-319.
Varadarajan, Kalathoor
.
Generalised {$V$}-rings and torsion theories
14.3 1986. 455-467.
Varadarajan, Kalathoor
.
Addendum: ``{P}seudo-mitotic groups'' [{J}. {P}ure {A}ppl. {A}lgebra {\bf 37} (1985), no. 2, 205-213; \refmr {MR}0796410 (87i:20055)\endrefmr]
39.3 1986. 309-310.
Varadarajan, Kalathoor
.
Injective approximations
29.3 1986. 378-382.
Varadarajan, Kalathoor
and Wehrhahn, K.
.
{$p$}-injectivity of simple pre-torsion modules
28.2 1986. 223-225.
Varadarajan, Kalathoor
.
Pseudo-mitotic groups
37.2 1985. 205-213.
Sarath, B. and
Varadarajan, Kalathoor
.
Fundamental theorem of projective geometry
12.7-8 1984. 937-952.
Varadarajan, Kalathoor
.
Projective approximations
36.1 1984. 178-192.
Desale, G. B. and
Varadarajan, Kalathoor
.
Extension of a result of {B}eachy and {B}lair
84.3 1982. 335-338.
Varadarajan, Kalathoor
.
A generalization of {H}ilbert's basis theorem
10.20 1982. 2191-2204.
Varadarajan, Kalathoor
.
On a theorem of {S}hock
10.20 1982. 2205-2222.
Varadarajan, Kalathoor
.
Dual {G}oldie dimension of certain extension rings
10.20 1982. 2223-2231.
Gupta, A. K. and
Varadarajan, Kalathoor
.
Modules over endomorphism rings
8.14 1980. 1291-1333.
Varadarajan, Kalathoor
.
Study of certain pre-radicals
8.2 1980. 185-209.
Mislin, G. and
Varadarajan, Kalathoor
.
The finiteness obstructions for nilpotent spaces lie in {$D({\bf Z}\pi )$}
53.2 1979. 185-191.
Varadarajan, Kalathoor
.
Dual {G}oldie dimension
7.6 1979. 565-610.
Sarath, B. and
Varadarajan, Kalathoor
.
Dual {G}oldie dimension. {II}
7.17 1979. 1885-1899.
Varadarajan, Kalathoor
.
Modules with supplements
82.2 1979. 559-564.
Varadarajan, Kalathoor
.
Finiteness obstruction for nilpotent spaces
12.2 1978. 137-146.
Mbuntum, F. F. and
Varadarajan, Kalathoor
.
Half-exact pre-radicals
5.6 1977. 555-590.
Rege, M. B. and
Varadarajan, Kalathoor
.
Chain conditions and pure-exactness
72.1 1977. 223-235.
Varadarajan, Kalathoor
.
Study of certain radicals
9.1 1976/77. 107-120.
Halbhavi, I. G. and
Varadarajan, Kalathoor
.
Extensions of fibrations
25.8 1976. 801-808.
Sarath, B. and
Varadarajan, Kalathoor
.
Divisibility of direct sums in torsion theories
28.1 1976. 211-214.
Varadarajan, Kalathoor
.
{$M$}-projective and strongly {$M$}-projective modules
20.3 1976. 507-515.
Antonelli, P. and
Varadarajan, Kalathoor
.
On {$MS$}-fiberings of manifolds with finite singular sets
22. 1975. 33-38.
Varadarajan, Kalathoor
.
Span and stably trivial bundles
60.2 1975. 277-287.
Azumaya, G. , Mbuntum, F. and
Varadarajan, Kalathoor
.
On {$M$}-projective and {$M$}-injective modules
59.1 1975. 9-16.
Varadarajan, Kalathoor
.
Numerical invariants in homotopical algebra. {II}. {A}pplications
27.4 1975. 935-960.
Varadarajan, Kalathoor
.
Numerical invariants in homotopical algebra. {I}
27.4 1975. 901-934.
Halbhavi, I. G. and
Varadarajan, Kalathoor
.
Gottlieb sets and duality in homotopy theory
27.5 1975. 1042-1055.
Antonelli, P. and
Varadarajan, Kalathoor
.
A characterization of projective spaces in terms of {$h$}-enclosability
19. 1975. 433-439.
Varadarajan, Kalathoor
.
On product decompositions
17.5 1974/75. 739-746.
Varadarajan, Kalathoor
.
Some phenomena in homotopical algebra
43. 1974. 272-276.
Sarath, B. and
Varadarajan, Kalathoor
.
Injectivity of direct sums
1. 1974. 517-530.
Sarath, B. and
Varadarajan, Kalathoor
.
Injectivity of certain classes of modules
5. 1974. 293-305.
Varadarajan, Kalathoor
.
On a certain problem of realization in homotopy theory
54. 1974. 277-291.
Varadarajan, Kalathoor
.
On topological span
47. 1972. 249-253.
Varadarajan, Kalathoor
.
A note on cobordism
15. 1971. 203-211.
Varadarajan, Kalathoor
.
A note on topological parallelizability
22. 1969. 607-609.
Varadarajan, Kalathoor
.
Generalised {G}ottlieb groups
33. 1969. 141-164 (1970).
Swarup, G. A. and
Varadarajan, Kalathoor
.
On some applications of a theorem of {B}rowder-{L}evine-{L}ivesay
66. 1969. 517-519.
Varadarajan, Kalathoor
.
On a conjecture of {M}ilnor
13. 1969. 438-447.
Varadarajan, Kalathoor
.
Microbundles and disk bundles
6. 1967. 43-48.
Varadarajan, Kalathoor
.
Groups for which {M}oore spaces {$M(\pi ,\,1)$} exist
84. 1966. 368-371.
Varadarajan, Kalathoor
.
On fibrations and category
88. 1965. 267-273.
Varadarajan, Kalathoor
.
Dimension, category and {$K(\pi ,\,n)$} spaces
10. 1961. 755-771.
Courses
Degrees
1960 - Ph.D. -
Columbia University
1955 - B.A. Honours -
Madras University
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