Birkenmeier, Gary F.; Lee, Enoch K. S. A survey of intrinsic extensions of rings. (English) Zbl 1398.16019 López-Permouth, Sergio R. (ed.) et al., Advances in rings and modules. Dedicated to Bruno J. Müller. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3555-4/pbk; 978-1-4704-4901-8/ebook). Contemporary Mathematics 715, 69-88 (2018). MSC: 16P60 16D50 16D60 16S85 PDFBibTeX XMLCite \textit{G. F. Birkenmeier} and \textit{E. K. S. Lee}, Contemp. Math. 715, 69--88 (2018; Zbl 1398.16019) Full Text: DOI
Birkenmeier, Gary F.; Davis, Donald D. Quasi-Baer and biregular generalized matrix rings. (English) Zbl 1382.16025 J. Algebra Appl. 16, No. 4, Article ID 1750067, 15 p. (2017). MSC: 16S50 16E50 16E60 PDFBibTeX XMLCite \textit{G. F. Birkenmeier} and \textit{D. D. Davis}, J. Algebra Appl. 16, No. 4, Article ID 1750067, 15 p. (2017; Zbl 1382.16025) Full Text: DOI
Birkenmeier, Gary F.; Ryan, C. Edward Module decompositions using pairwise comaximal ideals. (English) Zbl 1376.16002 Commun. Algebra 44, No. 10, 4200-4211 (2016). MSC: 16D70 PDFBibTeX XMLCite \textit{G. F. Birkenmeier} and \textit{C. E. Ryan}, Commun. Algebra 44, No. 10, 4200--4211 (2016; Zbl 1376.16002) Full Text: DOI arXiv
Birkenmeier, Gary F.; Lennon, Matthew J. Extending sets of idempotents to ring extensions. (English) Zbl 1314.16018 Commun. Algebra 42, No. 12, 5134-5151 (2014). Reviewer: J. K. Park (Pusan) MSC: 16S85 16D70 16D50 16P60 16S34 16W10 46H20 PDFBibTeX XMLCite \textit{G. F. Birkenmeier} and \textit{M. J. Lennon}, Commun. Algebra 42, No. 12, 5134--5151 (2014; Zbl 1314.16018) Full Text: DOI
Birkenmeier, Gary F.; Park, Jae Keol; Rizvi, S. Tariq Modules with FI-extending hulls. (English) Zbl 1180.16002 Glasg. Math. J. 51, No. 2, 347-357 (2009). Reviewer: Frieda Theron (Neerlandia, Alberta) MSC: 16D50 16N60 16S85 16D40 16S50 PDFBibTeX XMLCite \textit{G. F. Birkenmeier} et al., Glasg. Math. J. 51, No. 2, 347--357 (2009; Zbl 1180.16002) Full Text: DOI
Armendariz, Efraim P.; Birkenmeier, Gary F.; Park, Jae Keol Ideal intrinsic extensions with connections to PI-rings. (English) Zbl 1186.16009 J. Pure Appl. Algebra 213, No. 9, 1756-1776 (2009). Reviewer: Plamen Koshlukov (Campinas) MSC: 16N60 16R20 16D25 16N80 16U70 PDFBibTeX XMLCite \textit{E. P. Armendariz} et al., J. Pure Appl. Algebra 213, No. 9, 1756--1776 (2009; Zbl 1186.16009) Full Text: DOI
Birkenmeier, Gary F.; Park, Jae Keol; Rizvi, S. Tariq On triangulating dimension of rings. (English) Zbl 1177.16014 Commun. Algebra 36, No. 4, 1520-1526 (2008). MSC: 16P60 16S50 16S85 16D70 PDFBibTeX XMLCite \textit{G. F. Birkenmeier} et al., Commun. Algebra 36, No. 4, 1520--1526 (2008; Zbl 1177.16014) Full Text: DOI
Birkenmeier, Gary F.; Tercan, Adnan When some complement of a submodule is a summand. (English) Zbl 1118.16004 Commun. Algebra 35, No. 2, 597-611 (2007); addendum and corrigendum ibid. 43, No. 3, 1364-1365 (2015). Reviewer: Iuliu Crivei (Cluj-Napoca) MSC: 16D70 16D50 16S50 PDFBibTeX XMLCite \textit{G. F. Birkenmeier} and \textit{A. Tercan}, Commun. Algebra 35, No. 2, 597--611 (2007; Zbl 1118.16004) Full Text: DOI
Birkenmeier, Gary F.; Park, Jae Keol Triangular matrix representations of ring extensions. (English) Zbl 1054.16018 J. Algebra 265, No. 2, 457-477 (2003). Reviewer: Josif S. Ponizovskii (St. Peterburg) MSC: 16S20 16S50 16S36 16N60 20M25 PDFBibTeX XMLCite \textit{G. F. Birkenmeier} and \textit{J. K. Park}, J. Algebra 265, No. 2, 457--477 (2003; Zbl 1054.16018) Full Text: DOI
Birkenmeier, Gary F.; Kim, Jin Yong; Park, Jae Keol Triangular matrix representations of semiprimary rings. (English) Zbl 1034.16032 J. Algebra Appl. 1, No. 2, 123-131 (2002). MSC: 16S50 16L30 16P20 PDFBibTeX XMLCite \textit{G. F. Birkenmeier} et al., J. Algebra Appl. 1, No. 2, 123--131 (2002; Zbl 1034.16032) Full Text: DOI
Birkenmeier, Gary F.; Park, Jae Keol; Rizvi, S. Tariq Modules with fully invariant submodules essential in fully invariant summands. (English) Zbl 1005.16005 Commun. Algebra 30, No. 4, 1833-1852 (2002). Reviewer: Dinh Van Huynh (Athens, OH) MSC: 16D70 16S50 PDFBibTeX XMLCite \textit{G. F. Birkenmeier} et al., Commun. Algebra 30, No. 4, 1833--1852 (2002; Zbl 1005.16005) Full Text: DOI
Armendariz, Efraim P.; Birkenmeier, Gary F.; Park, Jae Keol Rings containing ideals with bounded index. (English) Zbl 1023.16017 Commun. Algebra 30, No. 2, 787-801 (2002). Reviewer: John Clark (Dunedin) MSC: 16N60 16N40 16D25 16R20 PDFBibTeX XMLCite \textit{E. P. Armendariz} et al., Commun. Algebra 30, No. 2, 787--801 (2002; Zbl 1023.16017) Full Text: DOI
Birkenmeier, Gary F.; Kim, Jin Yong; Park, Jae Keol Principally quasi-Baer rings. (English) Zbl 0991.16005 Commun. Algebra 29, No. 2, 639-660 (2001); Erratum ibid. 30, No. 22, 5609 (2002). Reviewer: Xue Weimin (Fujian) MSC: 16E50 16P70 16S50 16D40 PDFBibTeX XMLCite \textit{G. F. Birkenmeier} et al., Commun. Algebra 29, No. 2, 639--660 (2001; Zbl 0991.16005) Full Text: DOI
Birkenmeier, Gary F.; Heatherly, Henry E.; Lewallen, John A. Subdirectly irreducible left self distributively generated algebras. (English) Zbl 0994.16005 Commun. Algebra 29, No. 8, 3257-3273 (2001). Reviewer: A.I.Kashu (Kishinev) MSC: 16D70 16N60 16S60 PDFBibTeX XMLCite \textit{G. F. Birkenmeier} et al., Commun. Algebra 29, No. 8, 3257--3273 (2001; Zbl 0994.16005) Full Text: DOI
Birkenmeier, Gary F.; Kim, Jin Yong; Park, Jae Keol Polynomial extensions of Baer and quasi-Baer rings. (English) Zbl 0987.16018 J. Pure Appl. Algebra 159, No. 1, 25-42 (2001). Reviewer: Xue Weimin (Fujian) MSC: 16S36 16W60 16W10 PDFBibTeX XMLCite \textit{G. F. Birkenmeier} et al., J. Pure Appl. Algebra 159, No. 1, 25--42 (2001; Zbl 0987.16018) Full Text: DOI
Birkenmeier, Gary F.; Park, Jae Keol Self-adjoint ideals in Baer *-rings. (English) Zbl 0982.16024 Commun. Algebra 28, No. 9, 4259-4268 (2000). Reviewer: Xue Weimin (Fujian) MSC: 16W10 16D25 PDFBibTeX XMLCite \textit{G. F. Birkenmeier} and \textit{J. K. Park}, Commun. Algebra 28, No. 9, 4259--4268 (2000; Zbl 0982.16024) Full Text: DOI
Birkenmeier, Gary F.; Kim, Jin Yong; Park, Jae Keol Quasi-Baer ring extensions and biregular rings. (English) Zbl 0952.16009 Bull. Aust. Math. Soc. 61, No. 1, 39-52 (2000). Reviewer: Siamak Yassemi (Tehran) MSC: 16E50 16N60 16S90 16D25 PDFBibTeX XMLCite \textit{G. F. Birkenmeier} et al., Bull. Aust. Math. Soc. 61, No. 1, 39--52 (2000; Zbl 0952.16009) Full Text: DOI
Birkenmeier, Gary F.; Heatherly, Henry E. Left self distributively generated algebras. (English) Zbl 0957.16002 Commun. Algebra 28, No. 1, 217-236 (2000). Reviewer: J.K.Park (Pusan) MSC: 16D70 16N60 16N40 16D25 16P60 PDFBibTeX XMLCite \textit{G. F. Birkenmeier} and \textit{H. E. Heatherly}, Commun. Algebra 28, No. 1, 217--236 (2000; Zbl 0957.16002) Full Text: DOI
Birkenmeier, Gary F.; Kim, Jin Yong; Park, Jae Keol When is the CS condition hereditary? (English) Zbl 0946.16004 Commun. Algebra 27, No. 8, 3875-3885 (1999). Reviewer: A.W.Chatters (Bristol) MSC: 16D70 16D25 PDFBibTeX XMLCite \textit{G. F. Birkenmeier} et al., Commun. Algebra 27, No. 8, 3875--3885 (1999; Zbl 0946.16004) Full Text: DOI
Birkenmeier, Gary F.; Kim, Jin Yong; Park, Jae Keol Regularity conditions and the simplicity of prime factor rings. (English) Zbl 0870.16006 J. Pure Appl. Algebra 115, No. 3, 213-230 (1997); corrigendum ibid. 149, No. 1, 105 (2000). Reviewer: H.-P.Yu (Emory) MSC: 16E50 16D25 16N60 16D60 PDFBibTeX XMLCite \textit{G. F. Birkenmeier} et al., J. Pure Appl. Algebra 115, No. 3, 213--230 (1997; Zbl 0870.16006) Full Text: DOI
Birkenmeier, G. F.; Heatherly, H. E.; Lee, E. K. S. An Andrunakievich lemma for near-rings. (English) Zbl 0832.16038 Commun. Algebra 23, No. 8, 2825-2850 (1995). Reviewer: G.L.Booth (Unitra / Transkei) MSC: 16Y30 16D25 16R50 PDFBibTeX XMLCite \textit{G. F. Birkenmeier} et al., Commun. Algebra 23, No. 8, 2825--2850 (1995; Zbl 0832.16038) Full Text: DOI
Birkenmeier, Gary; Heatherly, Henry; Lee, Enoch Prime ideals and prime radicals in near-rings. (English) Zbl 0807.16039 Monatsh. Math. 117, No. 3-4, 179-197 (1994). Reviewer: G.L.Booth (Unitra / Transkei) MSC: 16Y30 16N60 16D25 16N40 PDFBibTeX XMLCite \textit{G. Birkenmeier} et al., Monatsh. Math. 117, No. 3--4, 179--197 (1994; Zbl 0807.16039) Full Text: DOI EuDML
Birkenmeier, Gary; Heatherly, Henry; Lee, Enoch Prime ideals in near-rings. (English) Zbl 0796.16035 Result. Math. 24, No. 1-2, 27-48 (1993). Reviewer: J.L.Zemmer (Columbia) MSC: 16Y30 16D25 16N80 PDFBibTeX XMLCite \textit{G. Birkenmeier} et al., Result. Math. 24, No. 1--2, 27--48 (1993; Zbl 0796.16035) Full Text: DOI
Birkenmeier, Gary; Heatherly, Henry Minimal ideals in near-rings. (English) Zbl 0746.16032 Commun. Algebra 20, No. 2, 457-468 (1992). Reviewer: J.D.P.Meldrum (Edinburgh) MSC: 16Y30 16D25 16N20 16P20 PDFBibTeX XMLCite \textit{G. Birkenmeier} and \textit{H. Heatherly}, Commun. Algebra 20, No. 2, 457--468 (1992; Zbl 0746.16032) Full Text: DOI
Birkenmeier, Gary; Heatherly, Henry Medial and distributively generated near-rings. (English) Zbl 0712.16024 Monatsh. Math. 109, No. 2, 97-101 (1990). Reviewer: G.Birkenmeier MSC: 16Y30 20F19 PDFBibTeX XMLCite \textit{G. Birkenmeier} and \textit{H. Heatherly}, Monatsh. Math. 109, No. 2, 97--101 (1990; Zbl 0712.16024) Full Text: DOI EuDML