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 PDFBibTeX XMLCite \textit{A. Ayache}, J. Algebra Appl. 21, No. 3, Article ID 2250050, 16 p. (2022; Zbl 1482.13014) Full Text: DOI
Ayache, Ahmed; Echi, Othman; Khalfallah, Adel Subrings of a power set and clopen topologies. (English) Zbl 1486.13005 J. Algebra Appl. 20, No. 12, Article ID 2150224, 13 p. (2021). Reviewer: Dario Spirito (Padova) MSC: 13A15 13F30 54F65 PDFBibTeX XMLCite \textit{A. Ayache} et al., J. Algebra Appl. 20, No. 12, Article ID 2150224, 13 p. (2021; Zbl 1486.13005) Full Text: DOI
Abbas, Riyadh; Ayache, Ahmed On questions related to normal pairs. (English) Zbl 1457.13015 Commun. Algebra 49, No. 3, 956-966 (2021). MSC: 13B02 13A18 13A35 13B25 13B35 13E05 PDFBibTeX XMLCite \textit{R. Abbas} and \textit{A. Ayache}, Commun. Algebra 49, No. 3, 956--966 (2021; Zbl 1457.13015) Full Text: DOI
Ayache, Ahmed Maximal non-decreasing subring of its quotient field. (English) Zbl 1433.13022 Gulf J. Math. 7, No. 3, 26-33 (2019). Reviewer: Nikolay I. Kryuchkov (Ryazan) MSC: 13G05 13F05 13H05 PDFBibTeX XMLCite \textit{A. Ayache}, Gulf J. Math. 7, No. 3, 26--33 (2019; Zbl 1433.13022) Full Text: Link
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 PDFBibTeX XMLCite \textit{A. Ayache} and \textit{D. E. Dobbs}, in: Advances in commutative algebra. Dedicated to David F. Anderson. Singapore: Birkhäuser. 63--92 (2019; Zbl 1423.13134) 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 PDFBibTeX XMLCite \textit{A. Ayache} and \textit{D. E. Dobbs}, Palest. J. Math. 6, No. 2, 380--395 (2017; Zbl 1367.13002) Full Text: Link
Ayache, Ahmed; Dobbs, David E. Strongly divided domains. (English) Zbl 1349.13049 Ric. Mat. 65, No. 1, 127-154 (2016). Reviewer: Moshe Roitman (Haifa) MSC: 13G05 13A15 13B21 13B22 PDFBibTeX XMLCite \textit{A. Ayache} and \textit{D. E. Dobbs}, Ric. Mat. 65, No. 1, 127--154 (2016; Zbl 1349.13049) Full Text: DOI
Ayache, Ahmed A direct proof of a theorem concerning treed overrings. (English) Zbl 1441.13018 Int. J. Math. Math. Sci. 2015, Article ID 938648, 3 p. (2015). MSC: 13B02 PDFBibTeX XMLCite \textit{A. Ayache}, Int. J. Math. Math. Sci. 2015, Article ID 938648, 3 p. (2015; Zbl 1441.13018) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. Ayache}, Ric. Mat. 64, No. 1, 229--239 (2015; Zbl 1318.13039) Full Text: DOI
Ayache, Ahmed The set of intermediate rings as a Boolean algebra. (English) Zbl 1317.13015 Commun. Algebra 43, No. 4, 1377-1386 (2015). Reviewer: Christodor-Paul Ionescu (Bucureşti) MSC: 13B02 06E25 13G05 PDFBibTeX XMLCite \textit{A. Ayache}, Commun. Algebra 43, No. 4, 1377--1386 (2015; Zbl 1317.13015) Full Text: DOI
Ayache, Ahmed; Dobbs, David E. Finite maximal chains of commutative rings. (English) Zbl 1310.13012 J. Algebra Appl. 14, No. 1, Article ID 1450075, 27 p. (2015). Reviewer: Christodor-Paul Ionescu (Bucureşti) MSC: 13B02 13G05 13B21 13B25 13E05 13A15 PDFBibTeX XMLCite \textit{A. Ayache} and \textit{D. E. Dobbs}, J. Algebra Appl. 14, No. 1, Article ID 1450075, 27 p. (2015; Zbl 1310.13012) Full Text: DOI
Ayache, Ahmed Integrally closed domains with treed overrings. (English) Zbl 1301.13007 Ric. Mat. 63, No. 1, 93-100 (2014). MSC: 13B02 13C15 13A18 13B25 PDFBibTeX XMLCite \textit{A. Ayache}, Ric. Mat. 63, No. 1, 93--100 (2014; Zbl 1301.13007) Full Text: DOI
Ayache, Ahmed; Dobbs, David E. Characterizations of the integral domains whose overrings are going-down domains. (English) Zbl 1306.13005 Int. Electron. J. Algebra 16, 99-114 (2014). Reviewer: Muhammad Zafrullah (Pocatello) MSC: 13B02 13C15 13F20 13B25 PDFBibTeX XMLCite \textit{A. Ayache} and \textit{D. E. Dobbs}, Int. Electron. J. Algebra 16, 99--114 (2014; Zbl 1306.13005) Full Text: DOI Link
Ayache, Ahmed A constructive study about the set of intermediate rings. (English) Zbl 1288.13006 Commun. Algebra 41, No. 12, 4637-4661 (2013). Reviewer: Radoslav M. Dimitrić (New York) MSC: 13B02 13B22 13B25 13C13 13A18 PDFBibTeX XMLCite \textit{A. Ayache}, Commun. Algebra 41, No. 12, 4637--4661 (2013; Zbl 1288.13006) Full Text: DOI
Ayache, Ahmed The set of indeterminate rings of a normal pair as a partially ordered set. (English) Zbl 1264.13012 Ric. Mat. 60, No. 2, 193-201 (2011). Reviewer: David F. Anderson (Knoxville) MSC: 13B05 13A18 13B22 13F05 13G05 PDFBibTeX XMLCite \textit{A. Ayache}, Ric. Mat. 60, No. 2, 193--201 (2011; Zbl 1264.13012) Full Text: DOI
Ayache, Ahmed; Ben Nasr, Mabrouk; Jarboui, Noômen PID pairs of rings and maximal non-PID subrings. (English) Zbl 1226.13008 Math. Z. 268, No. 3-4, 635-647 (2011). Reviewer: Dorin-Mihail Popescu (Bucureşti) MSC: 13B02 13B22 13C15 13A15 PDFBibTeX XMLCite \textit{A. Ayache} et al., Math. Z. 268, No. 3--4, 635--647 (2011; Zbl 1226.13008) Full Text: DOI
Ayache, Ahmed; Echi, Othman; Naimi, Mongi On Kronecker polynomials. (English) Zbl 1235.11013 Rocky Mt. J. Math. 41, No. 3, 707-725 (2011). Reviewer: Pieter Moree (Bonn) MSC: 11A41 11A51 11C08 PDFBibTeX XMLCite \textit{A. Ayache} et al., Rocky Mt. J. Math. 41, No. 3, 707--725 (2011; Zbl 1235.11013) Full Text: DOI
Ayache, Ahmed; Monceur, Hanen Elasticity of \(A+XB[X]\) when \(A\subset B\) is a minimal extension of integral domains. (English) Zbl 1228.13002 Colloq. Math. 122, No. 1, 11-19 (2011). Reviewer: Daniel D. Anderson (Iowa City) MSC: 13A05 13F15 13F20 PDFBibTeX XMLCite \textit{A. Ayache} and \textit{H. Monceur}, Colloq. Math. 122, No. 1, 11--19 (2011; Zbl 1228.13002) Full Text: DOI
Ayache, Ahmed When is the set of intermediate rings a finite Boolean algebra. (English) Zbl 1250.13008 Int. Electron. J. Algebra 8, 129-139 (2010). MSC: 13B02 13C15 PDFBibTeX XMLCite \textit{A. Ayache}, Int. Electron. J. Algebra 8, 129--139 (2010; Zbl 1250.13008) Full Text: Link
Ayache, Ahmed A note on going down domains. (English) Zbl 1195.13007 Commun. Algebra 38, No. 7, 2569-2571 (2010). MSC: 13B02 13C15 13A18 13B25 PDFBibTeX XMLCite \textit{A. Ayache}, Commun. Algebra 38, No. 7, 2569--2571 (2010; Zbl 1195.13007) Full Text: DOI
Ayache, Ahmed Some finiteness chain conditions on the set of intermediate rings. (English) Zbl 1196.13007 J. Algebra 323, No. 11, 3111-3123 (2010). Reviewer: Gyu Whan Chang (Incheon) MSC: 13B02 13G05 13B22 PDFBibTeX XMLCite \textit{A. Ayache}, J. Algebra 323, No. 11, 3111--3123 (2010; Zbl 1196.13007) Full Text: DOI
Ayache, Ahmed; Jarboui, Noômen Universally catenarian domains of the type \(A + I\). (English) Zbl 1232.13004 Ric. Mat. 57, No. 1, 27-42 (2008). MSC: 13B02 13C15 13A18 13E05 PDFBibTeX XMLCite \textit{A. Ayache} and \textit{N. Jarboui}, Ric. Mat. 57, No. 1, 27--42 (2008; Zbl 1232.13004) Full Text: DOI
Ayache, Ahmed; Jarboui, Noômen An answer to a Dobbs conjecture about treed domains. (English) Zbl 1154.13005 J. Algebra 320, No. 10, 3720-3725 (2008). Reviewer: Christodor-Paul Ionescu (Bucureşti) MSC: 13B24 13G05 13F05 PDFBibTeX XMLCite \textit{A. Ayache} and \textit{N. Jarboui}, J. Algebra 320, No. 10, 3720--3725 (2008; Zbl 1154.13005) Full Text: DOI
Ayache, Ahmed; Jarboui, Noômen Intermediary rings in normal pairs. (English) Zbl 1148.13003 J. Pure Appl. Algebra 212, No. 10, 2176-2181 (2008). Reviewer: Radoslav M. Dimitrić (Uniontown) MSC: 13B02 13C15 13A18 13B25 13E05 PDFBibTeX XMLCite \textit{A. Ayache} and \textit{N. Jarboui}, J. Pure Appl. Algebra 212, No. 10, 2176--2181 (2008; Zbl 1148.13003) Full Text: DOI
Ayache, Ahmed; Jarboui, Noômen An algorithm for computing the number of intermediary rings in normal pairs. (English) Zbl 1126.13007 J. Pure Appl. Algebra 212, No. 1, 140-146 (2008). Reviewer: Salah-Edine Kabbaj (Dhahran) MSC: 13B02 13C15 PDFBibTeX XMLCite \textit{A. Ayache} and \textit{N. Jarboui}, J. Pure Appl. Algebra 212, No. 1, 140--146 (2008; Zbl 1126.13007) Full Text: DOI
Ayache, Ahmed; Dobbs, David E.; Echi, Othman On maximal non-ACCP subrings. (English) Zbl 1154.13007 J. Algebra Appl. 6, No. 5, 873-894 (2007). Reviewer: David F. Anderson (Knoxville) MSC: 13B99 13G05 13A15 13C13 13F05 13B21 PDFBibTeX XMLCite \textit{A. Ayache} et al., J. Algebra Appl. 6, No. 5, 873--894 (2007; Zbl 1154.13007) Full Text: DOI
Ayache, Ahmed; Dobbs, David E.; Echi, Othman Universal mapping properties of some pseudovaluation domains and related quasilocal domains. (English) Zbl 1112.13023 Int. J. Math. Math. Sci. 2006, No. 3, 72589, 12 p. (2006). MSC: 13F30 PDFBibTeX XMLCite \textit{A. Ayache} et al., Int. J. Math. Math. Sci. 2006, No. 3, 72589, 12 p. (2006; Zbl 1112.13023) Full Text: DOI EuDML
Ayache, Ahmed; Echi, Othman Valuation and pseudovaluation subrings of an integral domain. (English) Zbl 1105.13028 Commun. Algebra 34, No. 7, 2467-2483 (2006). Reviewer: J. Shapiro (Fairfax) MSC: 13G05 13F30 18A40 18A20 18A32 PDFBibTeX XMLCite \textit{A. Ayache} and \textit{O. Echi}, Commun. Algebra 34, No. 7, 2467--2483 (2006; Zbl 1105.13028) Full Text: DOI
Ayache, Ahmed; Dobbs, David E.; Echi, Othman Reflection of some quasi-local domains. (English) Zbl 1099.13036 J. Algebra Appl. 5, No. 2, 201-213 (2006). Reviewer: Moshe Roitman (Haifa) MSC: 13G05 13F30 18A40 18A20 18A32 PDFBibTeX XMLCite \textit{A. Ayache} et al., J. Algebra Appl. 5, No. 2, 201--213 (2006; Zbl 1099.13036) Full Text: DOI
Ayache, Ahmed; Sharif, Walied H.; Vu Dinh Hoa A formula about tree. (English) Zbl 1116.05018 Vietnam J. Math. 33, No. 3, 343-348 (2005). MSC: 05C05 PDFBibTeX XMLCite \textit{A. Ayache} et al., Vietnam J. Math. 33, No. 3, 343--348 (2005; Zbl 1116.05018)
Ayache, Ahmed; Echi, Othman The envelope of a subcategory in topology and group theory. (English) Zbl 1145.18300 Int. J. Math. Math. Sci. 2005, No. 21, 3387-3404 (2005). MSC: 18B30 20J15 54B30 PDFBibTeX XMLCite \textit{A. Ayache} and \textit{O. Echi}, Int. J. Math. Math. Sci. 2005, No. 21, 3387--3404 (2005; Zbl 1145.18300) Full Text: DOI EuDML
Ayache, Ahmed; Jarboui, Noômen On questions related to stably strong S-domains. (English) Zbl 1154.13304 J. Algebra 291, No. 1, 164-170 (2005); Erratum 307, No. 1, 497 (2007); corrigendum ibid. 633, 831-832 (2023). MSC: 13G05 13F20 PDFBibTeX XMLCite \textit{A. Ayache} and \textit{N. Jarboui}, J. Algebra 291, No. 1, 164--170 (2005; Zbl 1154.13304) Full Text: DOI
Ayache, Ahmed Minimal overrings of an integrally closed domain. (English) Zbl 1029.13004 Commun. Algebra 31, No. 12, 5693-5714 (2003). MSC: 13B02 13B22 13F20 13G05 13F05 PDFBibTeX XMLCite \textit{A. Ayache}, Commun. Algebra 31, No. 12, 5693--5714 (2003; Zbl 1029.13004) Full Text: DOI
Ayache, Ahmed; Jarboui, Naômen Maximal non-Noetherian subrings of a domain. (English) Zbl 1095.13539 J. Algebra 248, No. 2, 806-823 (2002). MSC: 13G05 13B02 13B30 13C15 PDFBibTeX XMLCite \textit{A. Ayache} and \textit{N. Jarboui}, J. Algebra 248, No. 2, 806--823 (2002; Zbl 1095.13539) Full Text: DOI
Ayache, Ahmed; Ben Nasr, Mabrouk; Echi, Othman; Jarboui, Noômen Universally catenarian and going-down pairs of rings. (English) Zbl 1085.13503 Math. Z. 238, No. 4, 695-731 (2001). MSC: 13B24 13B02 13C15 13A18 13E99 PDFBibTeX XMLCite \textit{A. Ayache} et al., Math. Z. 238, No. 4, 695--731 (2001; Zbl 1085.13503) Full Text: DOI
Ayache, Ahmed Polynomial rings with coefficients in an intersection of fibred products. (Anneaux de polynômes à coefficients dans une intersection de produits fibrés.) (French) Zbl 0984.13011 Port. Math. 56, No. 2, 155-168 (1999). Reviewer: D.E.Rush (Riverside) MSC: 13F20 13C15 PDFBibTeX XMLCite \textit{A. Ayache}, Port. Math. 56, No. 2, 155--168 (1999; Zbl 0984.13011) Full Text: EuDML
Ayache, Ahmed; Cahen, Paul-Jean Noetherian Hilbert rings. (Anneaux noethériens de Hilbert.) (French) Zbl 1011.13012 Commun. Algebra 27, No. 8, 3833-3850 (1999). MSC: 13G05 13B24 13F05 13F20 13C05 13B30 13E05 PDFBibTeX XMLCite \textit{A. Ayache} and \textit{P.-J. Cahen}, Commun. Algebra 27, No. 8, 3833--3850 (1999; Zbl 1011.13012) Full Text: DOI
Ayache, Ahmed Some remakrs about chain conditions. (Quelques remarques sur les conditions de chaînes.) (French) Zbl 0989.13007 Arch. Math. 72, No. 4, 270-277 (1999). Reviewer: Serban Raianu (Syracuse) MSC: 13C15 13B02 13F05 13G05 PDFBibTeX XMLCite \textit{A. Ayache}, Arch. Math. 72, No. 4, 270--277 (1999; Zbl 0989.13007) Full Text: DOI
Ayache, Ahmed On an example of Wadsworth. (Sur un exemple de Wadsworth.) (French) Zbl 0921.13014 Commun. Algebra 27, No. 4, 1591-1597 (1999). Reviewer: N.Radu (Bucureşti) MSC: 13G05 13E05 13B02 13C15 PDFBibTeX XMLCite \textit{A. Ayache}, Commun. Algebra 27, No. 4, 1591--1597 (1999; Zbl 0921.13014) Full Text: DOI
Cahen, Paul-Jean; Ayache, Ahmed Valuative radical and subextensions. (Radical valuatif et sous-extensions.) (French) Zbl 0933.13008 Commun. Algebra 26, No. 9, 2767-2787 (1998). Reviewer: Iuliu Crivei (Cluj-Napoca) MSC: 13C15 13B02 13F20 13G05 PDFBibTeX XMLCite \textit{P.-J. Cahen} and \textit{A. Ayache}, Commun. Algebra 26, No. 9, 2767--2787 (1998; Zbl 0933.13008) Full Text: DOI
Ayache, Ahmed; Jaballah, Ali Residually algebraic pairs of rings. (English) Zbl 0868.13007 Math. Z. 225, No. 1, 49-65 (1997). Reviewer: A.Ayache and A.Jaballah (Sana’a) MSC: 13B02 PDFBibTeX XMLCite \textit{A. Ayache} and \textit{A. Jaballah}, Math. Z. 225, No. 1, 49--65 (1997; Zbl 0868.13007) Full Text: DOI
Ayache, Ahmed; Cahen, Paul-Jean; Echi, Othman Quasi-Prüfer rings and \(P\)-rings. (Anneaux quasi-prüfériens et \(P\)-anneaux.) (French) Zbl 0856.13015 Boll. Unione Mat. Ital., VII. Ser., B 10, No. 1, 1-24 (1996). Reviewer: N.Sankaran (Bangalore) MSC: 13F05 13B22 13G05 PDFBibTeX XMLCite \textit{A. Ayache} et al., Boll. Unione Mat. Ital., VII. Ser., B 10, No. 1, 1--24 (1996; Zbl 0856.13015)
Ayache, Ahmed; Cahen, Paul-Jean; Echi, Othman Valuative heights and infinite Nagata rings. (English) Zbl 0848.13003 Commun. Algebra 23, No. 5, 1913-1926 (1995). Reviewer: S.K.Khanduja (Chandigarh) MSC: 13A18 13F20 PDFBibTeX XMLCite \textit{A. Ayache} et al., Commun. Algebra 23, No. 5, 1913--1926 (1995; Zbl 0848.13003) Full Text: DOI
Ayache, Ahmed About a conjecture on Nagata rings. (English) Zbl 0815.13010 J. Pure Appl. Algebra 98, No. 1, 1-5 (1995). Reviewer: G.Pfister (Kaiserslautern) MSC: 13F99 13F20 13E99 13H10 PDFBibTeX XMLCite \textit{A. Ayache}, J. Pure Appl. Algebra 98, No. 1, 1--5 (1995; Zbl 0815.13010) Full Text: DOI
Ayache, Ahmed; Cahen, Paul-Jean; Echi, Othman Intersection of product fibers and dimension formula. (Intersection de produits fibres et formule de la dimension.) (French) Zbl 0813.13021 Commun. Algebra 22, No. 9, 3495-3509 (1994). Reviewer: D.F.Anderson (Knoxville) MSC: 13G05 13C15 13C05 PDFBibTeX XMLCite \textit{A. Ayache} et al., Commun. Algebra 22, No. 9, 3495--3509 (1994; Zbl 0813.13021) Full Text: DOI
Ayache, Ahmed Subrings of the form \(D+I\) of an integral \(K\)-algebra. (Sous-anneaux de la forme \(D+I\) d’une \(K\)-algebre intègre.) (French) Zbl 0832.13018 Port. Math. 50, No. 2, 139-149 (1993). Reviewer: A.Verschoren (Antwerp) MSC: 13F20 13G05 13C15 PDFBibTeX XMLCite \textit{A. Ayache}, Port. Math. 50, No. 2, 139--149 (1993; Zbl 0832.13018) Full Text: EuDML
Ayache, Ahmed; Cahen, Paul-Jean Rings absolutely verifying the dimension inequality or formula. (Anneaux vérifiant absolument l’inégalité ou la formule de la dimension.) (French) Zbl 0785.13001 Boll. Unione Mat. Ital., VII. Ser., B 6, No. 1, 39-65 (1992). Reviewer: I.Crivei (Cluj-Napoca) MSC: 13C15 13B02 PDFBibTeX XMLCite \textit{A. Ayache} and \textit{P.-J. Cahen}, Boll. Unione Mat. Ital., VII. Ser., B 6, No. 1, 39--65 (1992; Zbl 0785.13001)