Abedi, Mostafa Concerning strongly divisible, strongly fixed, and strongly \(z\)-ideals in \(\mathcal{R}L\). (English) Zbl 1511.06003 Casp. J. Math. Sci. 11, No. 1, 313-323 (2022). Reviewer: Partha Ghosh (Johannesburg) MSC: 06D22 54C40 13A15 × Cite Format Result Cite Review PDF Full Text: DOI
Abedi, Mostafa Rings of quotients of the ring \(\mathcal{R}L\). (English) Zbl 1529.06011 Houston J. Math. 47, No. 2, 271-293 (2021). MSC: 06D22 13B30 54C40 × Cite Format Result Cite Review PDF Full Text: Link
Estaji, Ali Akbar; Abedi, Mostafa On regularity and injectivity of the ring of real-continuous functions on a topoframe. (English) Zbl 07420375 Algebra Univers. 82, No. 4, Paper No. 60, 19 p. (2021). MSC: 06D22 06F25 54C30 16E50 54C40 54G05 × Cite Format Result Cite Review PDF Full Text: DOI
Abedi, Mostafa; Estaji, Ali Akbar Closed ideals in the uniform topology on the ring of real-valued continuous functions on a frame. (English) Zbl 1481.06029 Rend. Semin. Mat. Univ. Padova 143, 135-152 (2020). MSC: 06D22 54C40 54C50 16D25 13J20 × Cite Format Result Cite Review PDF Full Text: DOI
Banaschewski, Bernhard The function ring functors of pointfree topology revisited. (English) Zbl 1468.06025 Categ. Gen. Algebr. Struct. Appl. 11, No. 1, 19-32 (2019). MSC: 06D22 06F25 18B35 × Cite Format Result Cite Review PDF Full Text: Link
Abedi, Mostafa Concerning real-closed ideals in \(\mathcal{R} L\) and SV-frames. (English) Zbl 1516.06013 Topology Appl. 258, 402-414 (2019). MSC: 06D22 54C40 06F25 13A18 × Cite Format Result Cite Review PDF Full Text: DOI
Estaji, A. A.; Karimi, Feizabadi A. Gh.; Abedi, M. Intersection of essential ideals in the ring of real-valued continuous functions on a frame. (English) Zbl 1468.06026 J. Algebr. Syst. 5, No. 2, 149-161 (2018). MSC: 06D22 54C30 13A15 × Cite Format Result Cite Review PDF Full Text: DOI
Estaji, Ali Akbar; Abedi, Mostafa On injectivity of the ring of real-valued continuous functions on a frame. (English) Zbl 1452.06006 Bull. Belg. Math. Soc. - Simon Stevin 25, No. 3, 467-480 (2018). MSC: 06D22 13J20 16D25 16D50 54C30 54G05 × Cite Format Result Cite Review PDF Full Text: Euclid
Karimi Feizabadi, Abolghasem; Estaji, Ali Akbar; Abedi, Mostafa On minimal ideals in the ring of real-valued continuous functions on a frame. (English) Zbl 1463.06043 Arch. Math., Brno 54, No. 1, 1-13 (2018). MSC: 06D22 54C30 13A15 16D25 × Cite Format Result Cite Review PDF Full Text: DOI
Banaschewski, B. On characterizing the pointfree function ring reflection in terms of uniformities. (English) Zbl 1436.06021 Quaest. Math. 40, No. 7, 985-990 (2017). MSC: 06D22 06F25 54E15 54C30 46E25 × Cite Format Result Cite Review PDF Full Text: DOI
Dube, Themba; Ighedo, Oghenetega Covering maximal ideals with minimal primes. (English) Zbl 1327.13008 Algebra Univers. 74, No. 3-4, 411-424 (2015). Reviewer: Nikolay I. Kryuchkov (Ryazan) MSC: 13A15 06D22 × Cite Format Result Cite Review PDF Full Text: DOI
Ball, Richard N.; Hager, Anthony W.; Walters-Wayland, Joanne Pointfree pointwise suprema in unital Archimedean \(\ell\)-groups. (English) Zbl 1344.06010 J. Pure Appl. Algebra 219, No. 11, 4793-4815 (2015). Reviewer: Daniele Mundici (Firenze) MSC: 06D22 06F20 54C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dube, Themba; Ighedo, Oghenetega More ring-theoretic characterizations of \(P\)-frames. (English) Zbl 1376.06011 J. Algebra Appl. 14, No. 5, Article ID 1550061, 8 p. (2015). MSC: 06D22 13A15 54C30 54G10 × Cite Format Result Cite Review PDF Full Text: DOI
Acharyya, Sudip Kumar; Bhunia, Goutam; Ghosh, Partha Pratim Finite frames, \(P\)-frames and basically disconnected frames. (English) Zbl 1301.06025 Algebra Univers. 72, No. 3, 209-224 (2014). MSC: 06D22 54C40 × Cite Format Result Cite Review PDF Full Text: DOI
Dube, Themba Pseudocompact supports in pointfree topology. (English) Zbl 1328.06008 Houston J. Math. 40, No. 2, 601-620 (2014). MSC: 06D22 54C30 × Cite Format Result Cite Review PDF
Dube, Themba Concerning the frame of minimal prime ideals of pointfree function rings. (English) Zbl 1371.06011 Categ. Gen. Algebr. Struct. Appl. 1, No. 1, 11-26 (2013). MSC: 06D22 13A15 54C40 18A40 × Cite Format Result Cite Review PDF
Banaschewski, Bernhard Countable composition closedness and integer-valued continuous functions in pointfree topology. (English) Zbl 1371.06010 Categ. Gen. Algebr. Struct. Appl. 1, No. 1, 1-9 (2013). MSC: 06D22 06F25 54C30 54H10 × Cite Format Result Cite Review PDF
Dube, Themba; Matlabyana, Mack Cozero complemented frames. (English) Zbl 1288.06019 Topology Appl. 160, No. 12, 1345-1352 (2013). Reviewer: Jorge Picado (Coimbra) MSC: 06D22 54C40 54G05 × Cite Format Result Cite Review PDF Full Text: DOI
Dube, Themba Some remarks concerning pseudocompactness in pointfree topology. (English) Zbl 1397.06011 Bull. Belg. Math. Soc. - Simon Stevin 20, No. 2, 213-219 (2013). Reviewer: Tomasz Kubiak (Poznan) MSC: 06D22 13A15 54C30 × Cite Format Result Cite Review PDF Full Text: Euclid
Dube, Themba; Ighedo, Oghenetega Comments regarding \(d\)-ideals of certain \(f\)-rings. (English) Zbl 1284.06046 J. Algebra Appl. 12, No. 6, 1350008, 16 p. (2013). MSC: 06F25 06D22 13A15 46E25 54C40 × Cite Format Result Cite Review PDF Full Text: DOI
Dube, Themba Extending and contracting maximal ideals in the function rings of pointfree topology. (English) Zbl 1274.06038 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 55(103), No. 4, 365-374 (2012). MSC: 06D22 18A40 × Cite Format Result Cite Review PDF
Picado, Jorge; Pultr, Aleš Frames and locales. Topology without points. (English) Zbl 1231.06018 Frontiers in Mathematics. Berlin: Springer (ISBN 978-3-0348-0153-9/pbk; 978-3-0348-0154-6/ebook). xix, 398 p. (2012). Reviewer: Themba Dube (Unisa) MSC: 06D22 18B30 54A05 54C30 54D30 54E17 06-02 54-02 × Cite Format Result Cite Review PDF Full Text: DOI
Banaschewski, Bernhard; Gilmour, Christopher Rings of continuous functions on \(\sigma \)-frames. (English) Zbl 1218.06007 Topology Appl. 158, No. 7, 861-868 (2011). Reviewer: Themba Dube (Unisa) MSC: 06D22 06F25 54C30 54H10 × Cite Format Result Cite Review PDF Full Text: DOI
Dube, Themba Real ideals in pointfree rings of continuous functions. (English) Zbl 1216.06007 Bull. Aust. Math. Soc. 83, No. 2, 338-352 (2011). Reviewer: Jorge Picado (Coimbra) MSC: 06D22 16D25 54C30 × Cite Format Result Cite Review PDF Full Text: DOI
Dube, T. On the ideal of functions with compact support in pointfree function rings. (English) Zbl 1299.06021 Acta Math. Hung. 129, No. 3, 205-226 (2010). MSC: 06D22 54C30 13A15 × Cite Format Result Cite Review PDF Full Text: DOI
Dube, Themba Concerning \(P\)-frames, essential \(P\)-frames, and strongly zero-dimensional frames. (English) Zbl 1190.06007 Algebra Univers. 61, No. 1, 115-138 (2009). Reviewer: Jorge Picado (Coimbra) MSC: 06D22 54C30 54G10 × Cite Format Result Cite Review PDF Full Text: DOI
Ball, Richard N.; Hager, Anthony W. A new characterization of the continuous functions on a locale. (English) Zbl 1101.06007 Positivity 10, No. 1, 165-199 (2006). Reviewer: Jiří Rachůnek (Olomouc) MSC: 06D22 06F20 54C30 54E15 54B30 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, He Remarks on completely regular Lindelöf reflection of locales. (English) Zbl 1071.54006 Appl. Categ. Struct. 13, No. 1, 71-77 (2005). MSC: 54C30 46E25 × Cite Format Result Cite Review PDF Full Text: DOI