# Non-uniqueness of topology for algebras of polynomials

Colloquium Mathematicae (1997)

- Volume: 72, Issue: 1, page 111-121
- ISSN: 0010-1354

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top## How to cite

topWojciechowski, M., and Żelazko, W.. "Non-uniqueness of topology for algebras of polynomials." Colloquium Mathematicae 72.1 (1997): 111-121. <http://eudml.org/doc/210448>.

@article{Wojciechowski1997,

author = {Wojciechowski, M., Żelazko, W.},

journal = {Colloquium Mathematicae},

keywords = {complete locally convex topologies; topological algebra; algebras of polynomials; free algebras; non-uniqueness; complete locally multiplicatively convex algebra; semitopological algebra},

language = {eng},

number = {1},

pages = {111-121},

title = {Non-uniqueness of topology for algebras of polynomials},

url = {http://eudml.org/doc/210448},

volume = {72},

year = {1997},

}

TY - JOUR

AU - Wojciechowski, M.

AU - Żelazko, W.

TI - Non-uniqueness of topology for algebras of polynomials

JO - Colloquium Mathematicae

PY - 1997

VL - 72

IS - 1

SP - 111

EP - 121

LA - eng

KW - complete locally convex topologies; topological algebra; algebras of polynomials; free algebras; non-uniqueness; complete locally multiplicatively convex algebra; semitopological algebra

UR - http://eudml.org/doc/210448

ER -

## References

top- [1] R. L. Carpenter, Uniqueness of topology for commutative semisimple F-algebras, Proc. Amer. Math. Soc. 29 (1971), 113-117. Zbl0214.38301
- [2] A. Kokk and W. Żelazko, On vector spaces and algebras with maximal locally pseudoconvex topologies, Studia Math. 112 (1995), 195-201. Zbl0837.46037
- [3] E. Michael, Locally multiplicatively-convex topological algebras, Mem. Amer. Math. Soc. 11 (1952). Zbl0047.35502
- [4] W. Żelazko, A characterization of LC-non-removable ideals in commutative Banach algebras, Pacific J. Math. 87 (1980), 241-248. Zbl0446.46046
- [5] W. Żelazko, On topologization of countably generated algebras, Studia Math. 112 (1994), 83-88. Zbl0832.46042
- [6] W. Żelazko, Concerning topologization of P(t), Acta Univ. Lodz. Folia Math. 8 (1996), 153-159. Zbl0892.46056
- [7] W. Żelazko, Concerning topologization of algebras-the results and open problems, in: Advances in Functional Analysis, New Age Internat. Publ., 1996 (in print).

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