Publications: Stuart Rankin

 
  • Maximal T-spaces of free associative algebras over a finite field (with C. Bekh-Ochir), J. Algebra Appl., no. 4, 17(2018), 25 pages.

  • A maximal T-space of F_3[x]_0 (with C. Bekh-Ochir), Algebra Discrete Math., no. 2, 16(2013), 160-170.

  • Fine-Wilf graphs and the generalized Fine-Wilf theorem, Integers (Electrical Journal of Combinatorial Number Theory), 13 (2013), #A46 (16 pages).

  • The Euclidean Algorithm and the linear diophantine equation ax+by=(a,b), The American Mathematical Monthly 120, No. 6 ( 2013), pp. 562-564.

  • On a problem of A. V. Grishin (with C. Bekh-Ochir), J. Algebra Appl., no. 1, 11(2012),1-8.

  • Maximal T-spaces of a free associative algebra (with C. Bekh-Ochir), J. of Algebra, no. 1, 332(2011), 442-456.

  • Examples of associative algebras for which the T-space of central polynomials is not finitely based (with C. Bekh-Ochir), Israel Journal of Mathematics, no. 1, 186(2011), 333-37.

  • On a conjecture of V. V. Shchigolev (with C. Bekh-Ochir), J. of Algebra, no. 1, 330(2011), 314-321.

  • The identities and the central polynomials of the infinite dimensional unitary Grassmann algebra over a finite field (with C. Bekh-Ochir), Communications in Algebra, no. 3, 39(2011), 819-829.

  • The identities and central polynomials of the finite dimensional unitary Grassmann algebras over a finite field (with C. Bekh-Ochir), Communications in Algebra, no. 8, 39(2011), 2697-2706.

  • The central polynomials of the infinite dimensional unitary and nonunitary Grassmann algebras (with C. Bekh-Ochir), J. Algebra Appl., no. 5, 9(2010), 687-704.

  • The central polynomials of the finite dimensional unitary and nonunitary Grassmann algebras (with C. Bekh-Ochir), Asian-European Journal of Mathematics, no. 2, 3(2010), 235-249.

  • Enumerating the prime alternating links, Part I (with O. Flint), Journal of Knot Theory and its Ramifications, 13(2004), 151-173.

  • Enumerating the prime alternating knots, Part II (with O. Flint and J. Schermann), Journal of Knot Theory and its Ramifications, 13(2004), 101-150.

  • Enumerating the prime alternating knots, Part I (with O. Flint and J. Schermann), Journal of Knot Theory and its Ramifications, 13(2004), 57-100.

  • Semilattice Amalgams and Semidirect Product, Words, Semigroups, & Transductions, ed. by M. Ito, G. Paun, and S. Yu, World Scientific, (2001), 381-394.

  • Right congruences on a Brandt semigroup (with M. Petrich), Soochow J. Math., 22(1996), no. 1, 85-106. .

  • The kernel-trace approach to right congruences on an inverse semigroup (with M. Petrich), Trans. Amer. Math. Soc., 330(1992), 917-931..

  • Congruences on an inverse Bruck-Reilly monoid Part I: non-group congruences, Semigroup Forum 42(1991), 279-292.

  • Harmonic inverse semigroups, Glasgow Math. J., 31(1989), 335-351.

  • Enumeration of injective partial transformations (with D. Borwein and L.E. Renner, Discrete Math., 73(1989), 291-296.

  • A generalization of the Bruck-Reilly construction (with D. Cowan), Semigroup Forum, 35(1987), 135-149.

  • Congruences induced by transitive representations of inverse semigroups (with M. Petrich), Glasgow Math. J., 29(1987), 21-40.

  • Lambda-finite actions and their automorphism groups (with C.M. Reis), Semigroup Forum , 24(1982), 39-54.

  • Congruence-preserving endomorphisms, Semigroup Forum , 22(1981), 199-216.

  • Semigroups with quasi-zeroes (with C.M. Reis), Canad. J. Math. , no. 3, 2(1980), 511-530.

  • Right subdirectly irreducible semigroups (with C.M. Reis and G. Thierrin), Pacific J. Math. , 85(1979), 403-412.

  • alpha-recognizable semigroups (with C.M. Reis and G. Thierrin), Proc. Amer. Math. Soc. , 70(1978), 93-99.

  • Right local semigroups (with C.M. Reis and G. Thierrin), J. of Algebra, no. 1, 46(1977), 134-147.

  • Globally abelian transformation semigroups (with C.M. Reis and M.L. Wang), Semigroup Forum, 13(1977), 221-228.

  • A study of graph closed subsemigroups of a full transformation semigroup (with R.G. Biggs and C.M. Reis), Trans. Amer. Math. Soc., 219(1976), 211-223.

  • Orbital lattices of SL+(2,Z), Canad. Math. Bull., 17(1974), 87-90.

  • Entire functions mapping countable dense subsets of the reals onto each other monotonically (with D. Sato), Bull. Austral. Math. Soc., 10(1974), 67-70.

  • A stronger version of a metrization theorem of K. Morita (with J.H. Weston and J.R. Shilleto), Amer. Math. Monthly, 77(1970), 67.