Gaur, Atul; Kumar, Rahul; Singh, Anant Almost \(\phi\)-integrally closed rings. (English) Zbl 1540.13012 Commun. Algebra 52, No. 3, 960-968 (2024). Reviewer: Moshe Roitman (Haifa) MSC: 13B02 13B22 13B30 13A15 × Cite Format Result Cite Review PDF Full Text: DOI
Ahmed, Malik Tusif; Bakkari, Chahrazade; Mahdou, Najib; Riffi, Abdelkbir A characterization of graded pseudo-valuation domains. (English) Zbl 1535.13002 J. Algebra Appl. 22, No. 2, Article ID 2350044, 14 p. (2023). MSC: 13A02 13A15 × Cite Format Result Cite Review PDF Full Text: DOI
El Khalfi, Abdelhaq; Kim, Hwankoo; Mahdou, Najib; Tamekkante, Mohammed On \(\phi_P\)-pseudo valuation rings. (English) Zbl 1514.13006 Palest. J. Math. 11, No. 4, 258-266 (2022). Reviewer: François Couchot (Caen) MSC: 13B99 13A15 13G05 13B21 × Cite Format Result Cite Review PDF Full Text: Link
Singh, Ravinder Descent of properties of rings and pairs of rings to fixed rings. (English) Zbl 1482.13016 Beitr. Algebra Geom. 63, No. 1, 179-187 (2022). MSC: 13B21 13A50 13A18 13A15 13G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ayache, Ahmed When is a fixed ring comparable to all overrings? (English) Zbl 1482.13014 J. Algebra Appl. 21, No. 3, Article ID 2250050, 16 p. (2022). MSC: 13B02 13A18 13A35 13B25 13B35 13E05 × Cite Format Result Cite Review PDF Full Text: DOI
El Khalfi, Abdelhaq; Kim, Hwankoo; Mahdou, Najib Amalgamated algebras issued from \(\phi\)-chained rings and \(\phi\)-pseudo-valuation rings. (English) Zbl 1475.13015 Bull. Iran. Math. Soc. 47, No. 5, 1599-1609 (2021). MSC: 13B21 13A18 13A15 13G05 × Cite Format Result Cite Review PDF Full Text: DOI
Akeke, Eric Dago; Ayegnon, Philippe Kodjo; Dichi, Henri Extension of Samuel number to bifiltrations. (English) Zbl 1488.13003 Southeast Asian Bull. Math. 45, No. 2, 143-153 (2021). MSC: 13A15 13A18 × Cite Format Result Cite Review PDF
El Khalfi, Abdelhaq; Kim, Hwankoo; Mahdou, Najib On \(\phi\)-pseudo-Krull rings. (English) Zbl 1459.13014 Commun. Korean Math. Soc. 35, No. 4, 1095-1106 (2020). Reviewer: François Couchot (Caen) MSC: 13F05 13A15 13G05 13B21 × Cite Format Result Cite Review PDF Full Text: DOI
Ayache, Ahmed; Dobbs, David E. Strongly divided pairs of integral domains. (English) Zbl 1423.13134 Badawi, Ayman (ed.) et al., Advances in commutative algebra. Dedicated to David F. Anderson. Singapore: Birkhäuser. Trends Math., 63-92 (2019). MSC: 13G05 13B99 13A15 13B21 × Cite Format Result Cite Review PDF Full Text: DOI
Dobbs, David E.; El Khalfi, Abdelhaq; Mahdou, Najib Trivial extensions satisfying certain valuation-like properties. (English) Zbl 1423.13065 Commun. Algebra 47, No. 5, 2060-2077 (2019). Reviewer: Moshe Roitman (Haifa) MSC: 13B99 13A15 13G05 13B21 × Cite Format Result Cite Review PDF Full Text: DOI
Klingler, L.; McGovern, W. Wm. Pseudo-valuation rings and \(C(X)\). (English) Zbl 1440.13096 J. Algebra 512, 295-309 (2018). Reviewer: Gerard Leloup (Le Mans) MSC: 13F30 13J25 54C40 × Cite Format Result Cite Review PDF Full Text: DOI
Ayache, Ahmed; Dobbs, David E. Strongly divided rings with zero-divisors. (English) Zbl 1367.13002 Palest. J. Math. 6, No. 2, 380-395 (2017). Reviewer: Francois Couchot (Caen) MSC: 13A15 13G05 13B21 13B99 × Cite Format Result Cite Review PDF Full Text: Link
Dobbs, David E.; Houston, Evan On sums and products of primitive elements. (English) Zbl 1360.13026 Commun. Algebra 45, No. 1, 357-370 (2017). MSC: 13B99 13G05 13A15 13B21 13F05 × Cite Format Result Cite Review PDF Full Text: DOI
Jahani-Nezhad, Reza; Khoshayand, Foroozan Pseudo-valuation modules. (English) Zbl 1356.13011 Vietnam J. Math. 44, No. 3, 477-484 (2016). Reviewer: A. Nikseresht (Zanjan) MSC: 13C99 13A18 13F30 × Cite Format Result Cite Review PDF Full Text: DOI
Kabbaj, S.; Kadri, A.; Mimouni, A. On \(t\)-reductions of ideals in pullbacks. (English) Zbl 1360.13055 New York J. Math. 22, 875-889 (2016). Reviewer: Malgorzata Marciniak (Flushing) MSC: 13G05 13A18 13F05 13A15 × Cite Format Result Cite Review PDF Full Text: arXiv EMIS
Jarboui, Noômen; Trabelsi, Salma Some results about proper overrings of pseudo-valuation domains. (English) Zbl 1343.13002 J. Algebra Appl. 15, No. 5, Article ID 1650099, 16 p. (2016). Reviewer: Marco Fontana (Roma) MSC: 13A15 13B02 13A18 13B21 13B30 × Cite Format Result Cite Review PDF Full Text: DOI
Jahani-Nezhad, R.; Khoshayand, F. Pseudo-almost valuation rings. (English) Zbl 1373.13022 Bull. Iran. Math. Soc. 41, No. 4, 815-824 (2015). MSC: 13F30 13A15 13G05 × Cite Format Result Cite Review PDF Full Text: Link
Akeke, Eric Dago; Ouattara, Soma; Ayegnon, Philippe Another generalized Samuel number \(\hat{b}_f(g)\) on a semi-ring. (English) Zbl 1333.13004 JP J. Algebra Number Theory Appl. 36, No. 2, 123-139 (2015). MSC: 13A15 13A18 × Cite Format Result Cite Review PDF Full Text: DOI Link
Esmaeelnezhad, Afsaneh; Sahandi, Parviz On \(\phi\)-pseudo almost valuation rings. (English) Zbl 1337.13004 Bull. Korean Math. Soc. 52, No. 3, 935-946 (2015). Reviewer: Gyu Whan Chang (Incheon) MSC: 13A15 13F05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ayache, Ahmed Maximal non-treed subring of its quotient field. (English) Zbl 1318.13039 Ric. Mat. 64, No. 1, 229-239 (2015). Reviewer: Moshe Roitman (Haifa) MSC: 13G05 13A15 13A18 × Cite Format Result Cite Review PDF Full Text: DOI
Park, Mi Hee Prime \(T\)-ideals in polynomial and power series rings over a pseudo-valuation domain. (English) Zbl 1312.13004 Commun. Algebra 43, No. 1, 51-58 (2015). Reviewer: Ali Benhissi (Monastir) MSC: 13A15 13B25 13C15 13F25 × Cite Format Result Cite Review PDF Full Text: DOI
Dobbs, David E. On seminormal integral domains with treed overrings. (English) Zbl 1294.13010 Int. Electron. J. Algebra 15, 157-172 (2014). MSC: 13B99 13G05 13F05 13B21 13E10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Dobbs, David E.; Shapiro, Jay Pseudo-normal pairs of integral domains. (English) Zbl 1297.13029 Houston J. Math. 40, No. 1, 1-19 (2014). Reviewer: Alborz Azarang (Ahvaz) MSC: 13G05 13A15 13B99 13B21 × Cite Format Result Cite Review PDF
Nasr, Mabrouk Ben; Jarboui, Noômen; Zeyeda, Nasr About the spectrum of Nagata rings. (English) Zbl 1267.13008 Monatsh. Math. 167, No. 2, 257-272 (2012). Reviewer: David F. Anderson (Knoxville) MSC: 13A15 13B25 13C15 13G05 × Cite Format Result Cite Review PDF Full Text: DOI
Park, Mi Hee Krull dimension and generic fibres for mixed polynomial and power series integral domains. (English) Zbl 1255.13003 J. Algebra 358, 51-66 (2012). Reviewer: Avanish Kumar Chaturvedi (Noida) MSC: 13A18 13B25 13C15 13E99 13F05 13F25 13H05 13H10 × Cite Format Result Cite Review PDF Full Text: DOI
Diagana, Youssouf M.; Ouattara, Soma Generalization of quasi-graduations to the semiring of Samuel numbers of two ideals. (Extension aux quasi-graduations sur un semi-anneau des nombres de Samuel de deux idéaux.) (French. English summary) Zbl 1307.13001 Afr. Math. Ann. (AFMA) 2, 119-128 (2011). Reviewer: Toma Albu (Bucureşti) MSC: 13A15 13A99 × Cite Format Result Cite Review PDF
Dobbs, David E.; Jarboui, Noômen On integral domains with a unique overring that is incomparable with the integral closure. (English) Zbl 1228.13022 JP J. Algebra Number Theory Appl. 23, No. 1, 1-24 (2011). MSC: 13G05 13A15 13B02 13F05 13B21 13C15 13B30 × Cite Format Result Cite Review PDF Full Text: Link
Cahen, Paul-Jean; Dobbs, David E.; Lucas, Thomas G. Valuative domains. (English) Zbl 1191.13009 J. Algebra Appl. 9, No. 1, 43-72 (2010). Reviewer: Parviz Sahandi (Tabriz) MSC: 13B99 13G05 13A15 13F05 13B30 13B21 × Cite Format Result Cite Review PDF Full Text: DOI
Dobbs, David E. On the finiteness of a field-theoretic invariant for commutative rings. (English) Zbl 1184.13065 Rend. Circ. Mat. Palermo (2) 58, No. 3, 327-336 (2009). MSC: 13G05 13A15 13F05 12F99 × Cite Format Result Cite Review PDF Full Text: DOI
Anderson, David F.; Badawi, Ayman; Dobbs, David E.; Shapiro, Jay Divisibility properties in ultrapowers of commutative rings. (English) Zbl 1177.13003 Fontana, Marco (ed.) et al., Commutative algebra and its applications. Proceedings of the fifth international Fez conference on commutative algebra and applications, Fez, Morocco, June 23–28, 2009. Berlin: Walter de Gruyter (ISBN 978-3-11-020746-0/hbk). 9-19 (2009). MSC: 13A05 13G05 13H10 × Cite Format Result Cite Review PDF
Bhat, V. K. On near pseudo-valuation rings and their extensions. (English) Zbl 1162.13304 Int. Electron. J. Algebra 5, 70-77 (2009); corrigendum ibid. 134-135 (2009). MSC: 13F30 16S36 × Cite Format Result Cite Review PDF
Dobbs, David E.; Picavet, Gabriel Straight rings. (English) Zbl 1159.13012 Commun. Algebra 37, No. 3, 757-793 (2009). MSC: 13G05 13B24 13B99 13C99 13F45 13A15 13F05 13E10 × Cite Format Result Cite Review PDF Full Text: DOI
Rush, David E. Rees valuations and asymptotic primes of rational powers in noetherian rings and lattices. (English) Zbl 1119.13017 J. Algebra 308, No. 1, 295-320 (2007). Reviewer: Daniel D. Anderson (Iowa City) MSC: 13E05 13A15 13A18 06F10 13A30 × Cite Format Result Cite Review PDF Full Text: DOI
Badawi, Ayman On divided rings and \(\varphi\)-pseudo-valuation rings. (English) Zbl 1058.13012 Int. J. Commut. Rings 1, No. 2, 51-60 (2002). MSC: 13F30 13E99 13B22 13A05 13A15 × Cite Format Result Cite Review PDF
Kang, B. G.; Park, M. H. Completion of a globalized pseudo-valuation domain. (English) Zbl 1022.13004 Houston J. Math. 28, No. 4, 701-710 (2002). Reviewer: Dorin-Mihail Popescu (Bucureşti) MSC: 13F30 13B35 13J10 13A10 13F05 × Cite Format Result Cite Review PDF
Chatham, R. Douglas; Dobbs, David E. On pseudo-valuation domains whose overrings are going-down domains. (English) Zbl 1059.13004 Houston J. Math. 28, No. 1, 13-19 (2002). Reviewer: M. E. Keating (London) MSC: 13B24 13G05 12F20 × Cite Format Result Cite Review PDF
Badawi, Ayman On \(\phi\)-chained rings and \(\phi\)-pseudo-valuation rings. (English) Zbl 1006.13004 Houston J. Math. 27, No. 4, 725-736 (2001). Reviewer: Sudesh Kaur Khanduja (Chandigarh) MSC: 13F15 13F30 13A18 × Cite Format Result Cite Review PDF
Badawi, Ayman On \(\Phi\)-pseudo-valuation rings. II. (English) Zbl 0972.13004 Houston J. Math. 26, No. 3, 473-480 (2000). MSC: 13A18 13A15 × Cite Format Result Cite Review PDF
Badawi, Ayman On chained overrings of pseudo-valuation rings. (English) Zbl 0989.13015 Commun. Algebra 28, No. 5, 2359-2366 (2000). Reviewer: Sudesh Kaur Khanduja (Chandigarh) MSC: 13F30 13A18 × Cite Format Result Cite Review PDF Full Text: DOI
Badawi, Ayman Remarks on pseudo-valuation rings. (English) Zbl 0989.13014 Commun. Algebra 28, No. 5, 2343-2358 (2000). Reviewer: Sudesh Kaur Khanduja (Chandigarh) MSC: 13F30 13A18 × Cite Format Result Cite Review PDF Full Text: DOI
Anderson, David F.; Badawi, Ayman; Dobbs, David E. Pseudo-valuation rings. II. (English) Zbl 0972.13003 Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 3, No. 2, 535-545 (2000). Reviewer: Carlos Galindo (Castellon) MSC: 13A18 13A15 13F30 × Cite Format Result Cite Review PDF Full Text: EuDML
Badawi, Ayman On \(\Phi\)-pseudo-valuation rings. (English) Zbl 0962.13018 Dobbs, David E. (ed.) et al., Advances in commutative ring theory. Proceedings of the 3rd international conference, Fez, Morocco. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 205, 101-110 (1999). Reviewer: G.-E.Winkler (Berlin) MSC: 13F30 13B22 × Cite Format Result Cite Review PDF
Badawi, Ayman On comparability of ideals of commutative rings. (English) Zbl 0919.13004 Commun. Algebra 26, No. 3, 793-802 (1998). Reviewer: W.Wiȩsław (Wrocław) MSC: 13A15 13A18 × Cite Format Result Cite Review PDF Full Text: DOI
Picavet-L’Hermitte, Martine t-closed pairs. (English) Zbl 0881.13010 Cahen, Paul-Jean (ed.) et al., Commutative ring theory. Proceedings of the 2nd international conference, Fès, Morocco, June 5–10, 1995. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 185, 401-415 (1997). Reviewer: W.Bruns (Osnabrück) MSC: 13F45 13F30 × Cite Format Result Cite Review PDF
Badawi, Ayman; Anderson, David F.; Dobbs, David E. Pseudo-valuation rings. (English) Zbl 0880.13011 Cahen, Paul-Jean (ed.) et al., Commutative ring theory. Proceedings of the 2nd international conference, Fès, Morocco, June 5–10, 1995. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 185, 57-67 (1997). Reviewer: C.Galindo (Castellon) MSC: 13F30 13B22 × Cite Format Result Cite Review PDF
Badawi, Ayman On domains which have prime ideals that are linearly ordered. (English) Zbl 0843.13007 Commun. Algebra 23, No. 12, 4365-4373 (1995). Reviewer: K.Koh (Raleigh) MSC: 13G05 13F30 × Cite Format Result Cite Review PDF Full Text: DOI
Girolami, Florida Power series rings over globalized pseudo-valuation domains. (English) Zbl 0664.13007 J. Pure Appl. Algebra 50, No. 3, 259-269 (1988). Reviewer: D.D.Anderson MSC: 13F25 13A18 13C15 13F05 × Cite Format Result Cite Review PDF Full Text: DOI
Kanemitsu, Mitsuo On locally pseudo-valuation domains. (English) Zbl 0637.13005 Hiroshima Math. J. 17, 447-455 (1987). Reviewer: K.Koh MSC: 13A18 16S34 20M25 13F05 × Cite Format Result Cite Review PDF
Sugatani, Takasi; Yoshida, Ken-ichi Some remarks on pseudo-valuation domains. (English) Zbl 0527.13002 Math. Rep., Toyama Univ. 5, 147-158 (1982). MSC: 13A18 13F99 13E05 13H99 12J20 × Cite Format Result Cite Review PDF
Dobbs, David E.; Fontana, Marco; Huckaba, James A.; Papick, Ira J. Strong ring extensions and pseudo-valuation domains. (English) Zbl 0503.13001 Houston J. Math. 8, 167-184 (1982). MSC: 13B02 13F30 13A18 13B30 × Cite Format Result Cite Review PDF
Fontana, Marco Sur quelques classes d’anneaux divises. (French) Zbl 0512.13007 Rend. Sem. Mat. Fis. Milano 51, 179-200 (1981). MSC: 13C15 13A18 13F20 13A15 13G05 13E05 × Cite Format Result Cite Review PDF Full Text: DOI
Fontana, Marco Carres cartesiens et anneaux de pseudo-valuation. (French) Zbl 0475.13008 Publ. Dep. Math., Lyon 17, No. 1, 57-95 (1980). MSC: 13B02 13A18 13A15 13B30 × Cite Format Result Cite Review PDF
Fontana, Marco Carres cartesiens et couples d’anneaux ayant les memes ideaux premiers. (French) Zbl 0475.13007 Publ. Dep. Math., Lyon 17, No. 1, 35-56 (1980). MSC: 13B02 13A15 × Cite Format Result Cite Review PDF
Hedstrom, J. R.; Houston, E. G. Pseudo-valuation domains. II. (English) Zbl 0416.13014 Houston J. Math. 4, 199-207 (1978). MSC: 13F99 13H10 13F20 13C15 13E15 13A18 13G05 × Cite Format Result Cite Review PDF Backlinks: MO
Dobbs, David E. Coherence, ascent of going-down, and pseudo-valuation domains. (English) Zbl 0388.13002 Houston J. Math. 4, 551-567 (1978). MSC: 14E22 13F05 13C15 × Cite Format Result Cite Review PDF