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PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

Keywords

action, algebra, coalgebra, coring

Document Type

Article

Abstract

In this Paper introduced a coring from tensor product of bialgebra. An algebra with compatible coalgebrastructure are known as bialgebra. For any bialgebra B we can obtained tensor product between B anditself. Defined a right and left B -action on the tensor product of bialgebra B such that we have tensorproduct of B and itself is a bimodule over B. In this note we expect that the tensor product B anditself becomes a B -coring with comultiplication and counit.Keywords : action, algebra, coalgebra, coring.

Page Range

65-72

Issue

1

Volume

7

Digital Object Identifier (DOI)

10.21831/pg.v7i1.2837

Source

https://journal.uny.ac.id/index.php/pythagoras/article/view/2837

References

Brzeziński, T., Majid, Sh. 1998, Coalgebra Bundles, Comm. Math. Phys, 191 : 467-492.

Brzeziński, T. 2001 The cohomology structure of an algebra entwined with coalgebra, Jurnal of Algebra 235 : 176-202.

Brzeziński, T., Wisbauer, R.2003 Coring and comodules, Germany.

Brzeziński, T. The Structures of Corings, Alg. Rep Theory, to appear.

Hungerford, T.W. 1978.Algebra, Graduate text in Mathematics,Springer-Verlag, Berlin.

Puspita, N. P.2009 Koring Lemah, Thesis, Gadjah Mada University, Yogyakarta.

Wisbauer, R.1991 Foundation of Module and Ring Theory, Gordon and Breach Science Publishers, Germany.

Wisbauer, R.,2001.Weak Coring,Jurnal of Algebra 245: 123 –160.

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