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  Far East Journal of Mathematical Sciences (FJMS)  
 ISSN: 0972-0871
 
 
 

     Far East Journal of Mathematical Sciences (FJMS)
    Volume 28, Issue 2, Pages 417 - 430 (February 2008)


DIMENSIONS OF SUBSPACES OF THE POLYNOMIAL ALGEBRA  GENERATED BY SPIKES

Mbakiso Mothebe (Botswana)

Received September 28, 2007

References:



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[2] M. Kameko, Products of projective spaces as Steenrod modules, Thesis, John Hopkins University, 1990.

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[5] F. P. Peterson, Generators of as a module over the Steenrod algebra, Abstracts Amer. Math. Soc. 833 (1987), 55-89.

[6] F. P. Peterson, A-generators for certain polynomial algebras, Math. Proc. Cambridge Philos. Soc. 105 (1989), 311-312.

[7] J. H. Silverman, Hit polynomials and the canonical anti-automorphism of the Steenrod algebra, Proc. Amer. Math. Soc. 123 (1995), 627-637.

[8] J. H. Silverman, Hit polynomials and conjugation in the dual Steenrod algebra, Math. Proc. Cambridge Philos. Soc. 123 (1998), 531-547.

[9] J. H. Silverman and W. M. Singer, On the action of Steenrod squares on polynomial algebras II, J. Pure Appl. Algebra 98 (1995), 95-103.

[10] W. M. Singer, The transfer in homological algebra, Math. Z. 202 (1989), 493-525.

[11] W. M. Singer, On the action of Steenrod squares on polynomials, Proc. Amer. Math. Soc. 111 (1991), 577-583.

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[13] R. M. W. Wood, Steenrod squares of polynomials, Advances in Homotopy Theory, London Math. Soc. Lecture Notes Series 139, Cambridge University Press, 1989, pp. 173-177.

Keywords and phrases: dimension, spike, polynomial algebra.

 


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