The Department of Mathematics

Middlesex College

London, ON

Canada, N6A 5B7

Tel: 519.661.3639

Fax: 519.661.3610

Undergraduate inquiries:

math-inquiry@uwo.ca

Graduate inquiries:

math-grad-program@uwo.ca

All other inquiries:

mathdept@uwo.ca

- E. Jespers, D.M. Riley and M. Shahada. On polynomials that are not quite an identity on a given associative algebra,
*Israel J. Math*, to appear. - D.M. Riley. When is the Frobenius map on a noncommutative algebra a homomorphism?,
*J. Algebra*479 (2017), 159-172. - D.M. Riley and M. Shahada. Relationships between the canonical ascending and descending central series of ideals in an associative algebra,
*Comm.**Algebra*45 (2017), 1969-1982. - Chuluundorj Bekh-Ochir and D.M. Riley. An explicit basis for the Grassmann T-space,
*J. Algebra*466 (2016), 63-72. - E. Jespers and D.M. Riley. The behaviour of the Frobenius map in a noncommutative world,
*J. Algebra*438 (2015), 7-23. - E. Jespers, D.M. Riley and M. Shahada. Multiplicatively collapsing and rewritable algebras,
*Proc. Amer. Math. Soc.*143 (2015), no. 10, 4223-4236. - C. Plyley and D.M. Riley, Oriented Hopf algebras and their actions,
*Algebras Represent. Theory*18 (2015), 895-906. - C. Plyley and D.M. Riley. Identities on Lie or Jordan-group-graded associative algebras,
*J. Algebra*387 (2013), 160-168. - J. Bergen, D.M. Riley and H. Usefi. Lie superalgebras whose enveloping algebra satisfying non-matrix polynomial identities,
*Israel J. Math*. 196 (2013), 161-173. - E. Jespers, D.M. Riley and S. Siciliano. Group identities on the units of algebraic algebras with applications to restricted enveloping algebras,
*J. Algebra*319 (2008), no.10, 4008-4017. - Chuluundorj Bekh-Ochir and D.M. Riley. On the Grassmann T-space,
*J. Algebra Appl.*7 (2008), no. 3, 319-336. - L. McInnes and D.M. Riley. Profinite
*p*-adic Lie algebras,*J. Algebra*319 (2008), no. 1, 205-234. - D.M. Riley and H. Usefi. The isomorphism problem for universal enveloping algebras of Lie algebras,
*Algebr. Represent. Theory*10 (2007), no. 6, 517-532. - D.M. Riley and E. Jespers. Nilpotent linear semigroups,
*Internat. J. Algebra Comput.*16 (2006), no. 1, 141-160. - D.M. Riley and H. Usefi. Restricted Lie algebras with subexponential growth,
*Contemp. Math.*420 (2006), 289-294. - D.M. Riley and H. Usefi. Lie algebras with finite Gelfand-Kirillov dimension,
*Proc. Amer. Math. Soc.*133 (2005), no. 6, 1569-1572. - D.M. Riley and P. Shumyatsky. Groups with a positive law on commutators,
*J. Pure Appl. Algebra*195 (2005), no. 3, 293-299. - D.M. Riley. Engel varieties of associative rings and the number of Mersenne primes,
*J. Algebra*261 (2003), no. 1, 19-30. - D.M. Riley. How abelian is a finite-dimensional Lie algebra?,
*Forum Math.*15 (2003), no. 3, 455-463. - A.N. Krasilnikov and D.M. Riley. The transfer of a commutator identity in a nil-generated algebra,
*Internat. J. Algebra Comput.*12 (2002), no. 3, 437-443. - D.M. Riley. Lie
*p*-algebras of finite p-subalgebra rank,*Arch. Math.*78 (2002), no. 3, 189-195. - D.M. Riley. Positively
*n*-Engel groups,*J. Group Theory*4 (2001), no. 4, 457-462. - D.M. Riley. Algebras with collapsing monomials, II,
*Comm. Algebra*29 (2001), no. 7, 2745-2756. - D.M. Riley. Infinitesimally PI radical algebras,
*Israel J. Math.*123 (2001), 365-379. - D.M. Riley and V. Tasic. On the growth of subalgebras in Lie p-algebras,
*J. Algebra*237 (2001), 273-286. - D.M. Riley. Group algebras with units satisfying an Engel identity,
*Rend. Circ. Mat. Palermo*49 (2000), no. 3, 540-544. - D.M. Riley. Generalised nilpotence conditions in
*n*-Engel Lie algebras,*Comm. Algebra*28 (2000), no. 10, 4619-4634. - D.M. Riley and M.C. Wilson. Associative rings satisfying the Engel condition,
*Proc. Amer. Math. Soc.*127 (1999), no. 4, 973-976. - D.M. Riley and M.C. Wilson. Associative algebras satisfying a semigroup identity,
*Glasgow Math. J.*41 (1999), 453-462. - D.M. Riley. Restricted Lie algebras of maximal class,
*Bull. Austral. Math. Soc.*59 (1999), 217-223. - D.M. Riley and V. Tasic. Mal'cev nilpotent algebras,
*Arch. Math.*72 (1999), no.1, 22-27. - D.M. Riley and M.C. Wilson. Group algebras and enveloping algebras with nonmatrix and semigroup identities,
*Comm. Algebra*27 (1999), no. 7, 3545-3556. - D.M. Riley. Algebras with collapsing monomials,
*Bull. London Math. Soc.*30 (1998), no. 5, 521-528. - Yu. Bahturin, A. Giambruno and D.M. Riley. Group-graded algebras with polynomial identity,
*Israel J. Math.*104 (1998), 145-156. - D.M. Riley. The Engel condition, semigroup identities and collapsibility in associative rings, 277-285,
*Methods in Ring Theory*, Lecture Notes in Pure and Applied Math., 168, Marcel Dekker, New York, 1998. - D.M. Riley. PI-algebras generated by nilpotent elements of bounded index,
*J. Algebra*192 (1997), no. 1, 1-13. - D.M. Riley and V. Tasi . Lie identities for Hopf algebras,
*J. Pure Appl. Algebra*22 (1997), no. 1-2, 127-134. - M.J. Evans and D.M. Riley. Lie algebras of finite subalgebra rank,
*Arch. Math.*69 (1997), no. 3, 185-191. - D.M. Riley and V. Tasi . The transfer of a commutator law from a nil-ring to its adjoint group,
*Canad. Math. Bull.*40 (1997), no. 1, 103-107. - Yu. Billig, D.M. Riley and V. Tasi . Non-matrix varieties and nil-generated algebras whose units satisfy a group identity,
*J. Algebra*190 (1997), no. 1, 241-252. - D.M. Riley and J.F. Semple. Power closure and the Engel condition,
*Israel J. Math.*97 (1997), 281-304. - D.M. Riley. The tensor product of Lie soluble algebras,
*Arch. Math.*66 (1996), no. 5, 372-377. - D.M. Riley. The dimension subalgebra problem for enveloping algebras of Lie superalgebras,
*Proc. Amer. Math. Soc.*123 (1995), no. 10, 2975-2980. - D.M. Riley and A. Shalev. Restricted Lie algebras and their envelopes,
*Canad. J. Math.*47 (1995), no. 1, 146-164. - D.M. Riley. The number of generators of ideals in graded group algebras and
*p*-adic analytic pro-p groups of dimension one,*Arch. Math.*63 (1994), no. 5, 402-406. - D.M. Riley and J.F. Semple. The coclass of a restricted Lie algebra,
*Bull. London Math. Soc.*26 (1994), 431-437. - D.M. Riley and J.F. Semple. Completion of restricted Lie algebras,
*Israel J. Math.*86 (1994), no. 1-3, 277-299. - D.M. Riley. Hypercentral enveloping algebras are Lie nilpotent,
*Quart. J. Math., Oxford Series (2)*45 (1994), no. 177, 103-109. - D.M. Riley and A. Shalev. The Lie structure of enveloping algebras,
*J. Algebra*126 (1993), no. 1, 46-61. - D.M. Riley. Analytic pro-
*p*groups and their graded group rings,*J. Pure Appl. Algebra*90 (1993), no. 1, 69-76. - D.M. Riley. Restricted Lie dimension subgroups,
*Comm. Algebra*19 (1991), no. 5, 1493-1499. - D.M. Riley. Group rings with hypercentral unit groups, Canad. J. Math. 43 (1991), no. 2, 425-434.