Výsledky vyhledávání - "Goutam Bhunia"

Autor: Goutam Bhunia

Publikováno v: Quaestiones Mathematicae. 44:99-107

We introduce a new subring (L) of (L) for a completely regular frame L and characterize pseudocompact frames via these subrings. Also we obtain several suﬃcient conditions on L which guarantee that...

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b0ab0e561b8867fed3b8f46d2c4f8146
https://doi.org/10.2989/16073606.2019.1672114

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Some new results on functions inC(X) having their support on ideals of closed sets

Autor: Sagarmoy Bag, Pritam Rooj, Sudip Kumar Acharyya, Goutam Bhunia

Publikováno v: Quaestiones Mathematicae. 42:1079-1090

For any ideal of closed sets in X, let be the family of those functions in C(X) whose support lie on . Further let contain precisely those functions f in C(X) for which for each ϵ > 0, {x ∈ X: |f (x)| ≥ ϵ} is a member of . Let stand for the set

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e6af079c3960dff9ac74095d818415ff
https://doi.org/10.2989/16073606.2018.1504830

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Pseudocompact framesLversus different topologies onR(L)

Autor: Goutam Bhunia, P.P. Ghoshi, S.K. Archaryya

Publikováno v: Quaestiones Mathematicae. 38:423-430

In this paper we have characterized pseudocompact frames L (1) via u-topology and m-topology on the rings R(L) and R* (L); (2) via some special kind of ideals of Coz L.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7fe195425c147c0e58cb5f2082af0ae1
https://doi.org/10.2989/16073606.2014.982343

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Some new characterizations of finite frames and F-frames

Autor: Sudip Kumar Acharyya, Partha Pratim Ghosh, Goutam Bhunia

Publikováno v: Topology and its Applications. 182:122-131

Let R ( L ) stand for the ring of all real valued continuous functions on a completely regular frame L. We first show that if L is generated by the cozeros of functions in R Ψ ( L ) , the ring of all functions in R ( L ) which have pseudocompact sup

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::da4d7cbf68b84ae7fddc0420ab19859b
https://doi.org/10.1016/j.topol.2014.12.014

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Finite frames, P-frames and basically disconnected frames

Autor: Partha Pratim Ghosh, Goutam Bhunia, Sudip Kumar Acharyya

Publikováno v: Algebra universalis. 72:209-224

Let P be an ideal of closed quotients of a completely regular frame L and RP (L) the collection of all functions in the ring R(L) whose support belong to P. We show that R(L) is a Noetherian ring if and only if R(L) is an Artinian ring if and only if

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9cf73c840a67392acf52c9a841fef4ef
https://doi.org/10.1007/s00012-014-0296-x

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