On Triangular Changes of Bases in the mod p Steenrod Algebra

2021 ◽  
Author(s):  
T. V. Ovchinnikova ◽  
Th. Yu. Popelensky
Keyword(s):  
Steenrod Algebra ◽  
Mod P

scholarly journals The cohomology of the Steenrod algebra and the mod p Lannes-Zarati homomorphism

2020 ◽  
Vol 556 ◽  
pp. 656-695
Author(s):  
Phan Hoàng Chơn ◽  
Phạm Bích Như
Keyword(s):  
Steenrod Algebra ◽  
Mod P

scholarly journals On the mod p Steenrod algebra and the Leibniz-Hopf algebra

2020 ◽  
Vol 28 (2) ◽  
pp. 951-959
Author(s):  
Neşet Deniz Turgay ◽  
Keyword(s):  
Hopf Algebra ◽  
Steenrod Algebra ◽  
Leibniz Hopf Algebra ◽  
Mod P

scholarly journals Relations between kernels and images of reduced powers for some right Ap-modules

2018 ◽  
Vol 103 (117) ◽  
pp. 191-198
Author(s):  
Theodore Popelensky
Keyword(s):  
Lens Space ◽  
Steenrod Algebra ◽  
Right Action ◽  
The Right ◽  
Mod P

We investigate the right action of the mod p Steenrod algebra Ap on the homology H*(L^s,Zp) where L=BZp is the lens space. Following ideas of Ault and Singer we investigate the relation between intersection of kernels of the reduced powers Ppi and Bockstein element ? and the intersection of images of Ppi+1?1 and of ?. Namely one can check that ?ki=0 imPpi+1?1 ? ?ki=0 ker Ppi and ?ki=0 imPpi+1?1 ? im? ? ?k i=0 ker Ppi ? ker ?. We generalize Ault?s homotopy systems to p > 2 and examine when the reverse inclusions are true.

Bases in the mod p Steenrod algebra, β included

2019 ◽  
Vol 223 (8) ◽  
pp. 3386-3401 ◽  
Author(s):  
Danila Emelyanov ◽  
Theodore Popelensky
Keyword(s):  
Steenrod Algebra ◽  
Mod P

On Wood Basis for the mod p Steenrod Algebra

2017 ◽  
Vol 225 (4) ◽  
pp. 590-595
Author(s):  
D. Yu. Emelyanov
Keyword(s):  
Steenrod Algebra ◽  
Mod P

scholarly journals Monomial Bases in the Mod-p Steenrod Algebra

2005 ◽  
Vol 55 (3) ◽  
pp. 699-707 ◽  
Author(s):  
Ismet Karaca
Keyword(s):  
Steenrod Algebra ◽  
Mod P

On monomial bases in the mod p Steenrod algebra

2014 ◽  
Vol 17 (2) ◽  
pp. 341-353 ◽  
Author(s):  
D. Yu. Emelyanov ◽  
Th. Yu. Popelensky
Keyword(s):  
Steenrod Algebra ◽  
Mod P
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