Runkel, Ingo; Szegedy, Lóránt Area-dependent quantum field theory. (English) Zbl 07303870 Commun. Math. Phys. 381, No. 1, 83-117 (2021). MSC: 81T45 81T40 55N22 16L60 13A35 81T15 PDF BibTeX XML Cite \textit{I. Runkel} and \textit{L. Szegedy}, Commun. Math. Phys. 381, No. 1, 83--117 (2021; Zbl 07303870) Full Text: DOI
Gómez-Torrecillas, José; Lobillo, F. J.; Navarro, Gabriel; Sánchez-Hernández, José Patricio Biseparable extensions are not necessarily Frobenius. (English) Zbl 07303584 Math. Z. 297, No. 1-2, 517-533 (2021). MSC: 16H05 16L60 16L60 16H05 16D20 16D40 16D90 PDF BibTeX XML Cite \textit{J. Gómez-Torrecillas} et al., Math. Z. 297, No. 1--2, 517--533 (2021; Zbl 07303584) Full Text: DOI
Hoffmann, Johannes; Levandovskyy, Viktor Constructive arithmetics in Ore localizations enjoying enough commutativity. (English) Zbl 07249904 J. Symb. Comput. 102, 209-230 (2021). MSC: 16L99 16U20 PDF BibTeX XML Cite \textit{J. Hoffmann} and \textit{V. Levandovskyy}, J. Symb. Comput. 102, 209--230 (2021; Zbl 07249904) Full Text: DOI
Zilberbord, I. M.; Sotnikov, S. V. On a generalization of self-injective rings. (English. Russian original) Zbl 07310918 Vestn. St. Petersbg. Univ., Math. 53, No. 1, 45-51 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 1, 60-68 (2020). MSC: 16L 16G 20 PDF BibTeX XML Cite \textit{I. M. Zilberbord} and \textit{S. V. Sotnikov}, Vestn. St. Petersbg. Univ., Math. 53, No. 1, 45--51 (2020; Zbl 07310918); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 1, 60--68 (2020) Full Text: DOI
Sripaisan, Naparat; Meemark, Yotsanan Approximately mutually unbiased bases by Frobenius rings. (English) Zbl 07299325 J. Syst. Sci. Complex. 33, No. 4, 1244-1251 (2020). MSC: 81P70 81P55 16L60 11T24 PDF BibTeX XML Cite \textit{N. Sripaisan} and \textit{Y. Meemark}, J. Syst. Sci. Complex. 33, No. 4, 1244--1251 (2020; Zbl 07299325) Full Text: DOI
Meriç, Elif Tuğçe When proper cyclics are homomorphic image of injectives. (English) Zbl 07291052 Commun. Algebra 49, No. 1, 151-161 (2021). MSC: 16D50 16P20 16L60 PDF BibTeX XML Cite \textit{E. T. Meriç}, Commun. Algebra 49, No. 1, 151--161 (2020; Zbl 07291052) Full Text: DOI
Arroyo Paniagua, María José; Facchini, Alberto; Tolooei, Yaser Factorizations of elements in local rings and semilocal rings of finite type. (English) Zbl 07272789 J. Algebra Appl. 19, No. 12, Article ID 2050234, 24 p. (2020). MSC: 16L30 16U30 PDF BibTeX XML Cite \textit{M. J. Arroyo Paniagua} et al., J. Algebra Appl. 19, No. 12, Article ID 2050234, 24 p. (2020; Zbl 07272789) Full Text: DOI
Das, Soumitra; Buhphang, Ardeline M. Rings characterized by dual-Utumi-modules. (English) Zbl 07272784 J. Algebra Appl. 19, No. 12, Article ID 2050229, 11 p. (2020). MSC: 16D10 16D40 16P20 16L30 PDF BibTeX XML Cite \textit{S. Das} and \textit{A. M. Buhphang}, J. Algebra Appl. 19, No. 12, Article ID 2050229, 11 p. (2020; Zbl 07272784) Full Text: DOI
Li, Yu; Su, Huadong; Tang, Gaohua; Zhou, Yiqiang Notes on rings with strong 2-sum property. (English) Zbl 07272182 Algebra Colloq. 27, No. 4, 821-830 (2020). MSC: 16L30 16S50 16U60 PDF BibTeX XML Cite \textit{Y. Li} et al., Algebra Colloq. 27, No. 4, 821--830 (2020; Zbl 07272182) Full Text: DOI
Tomohiro, Itagaki; Sanada, Katsunori; Usui, Satoshi A Batalin-Vilkovisky differential on the complete cohomology ring of a Frobenius algebra. (English) Zbl 1452.16007 Sato, Masahisa (ed.), Proceedings of the 52nd symposium on ring theory and representation theory, Nagoya University, Japan, August 26–31, 2019. Shizuoka: Symposium on Ring Theory and Representation Theory Organizing Committee. 39-45 (2020). MSC: 16E40 16L60 16E45 PDF BibTeX XML Cite \textit{I. Tomohiro} et al., in: Proceedings of the 52nd symposium on ring theory and representation theory, Nagoya University, Japan, August 26--31, 2019. Shizuoka: Symposium on Ring Theory and Representation Theory Organizing Committee. 39--45 (2020; Zbl 1452.16007)
Bergh, Petter Andreas; Erdmann, Karin; Jorgensen, David Modules of constant Jordan type over quantum complete intersections. (English) Zbl 07262588 Doc. Math. 25, 1541-1570 (2020). Reviewer: Frieda Theron (Potchefstroom) MSC: 16E05 16G70 16S80 16U80 16L60 20C20 PDF BibTeX XML Cite \textit{P. A. Bergh} et al., Doc. Math. 25, 1541--1570 (2020; Zbl 07262588) Full Text: DOI
Ibrahim, Yasser F.; Yousif, Mohamed F. Rings with cyclic injective hulls. (English) Zbl 07253605 Commun. Algebra 48, No. 12, 5110-5122 (2020). MSC: 16D40 16D50 16D60 16L30 16L60 16P20 16P40 16P60 PDF BibTeX XML Cite \textit{Y. F. Ibrahim} and \textit{M. F. Yousif}, Commun. Algebra 48, No. 12, 5110--5122 (2020; Zbl 07253605) Full Text: DOI
Jang, Young Ho Generalized Cohn functions on Galois rings. (English) Zbl 07244701 Korean J. Math. 28, No. 2, 241-255 (2020). MSC: 11T24 16L60 42A38 42B10 PDF BibTeX XML Cite \textit{Y. H. Jang}, Korean J. Math. 28, No. 2, 241--255 (2020; Zbl 07244701) Full Text: DOI
Piao, Zhelin; Ryu, Sung Ju; Sung, Hyo Jin; Yun, Sang Jo On weakly local rings. (English) Zbl 07244689 Korean J. Math. 28, No. 1, 65-73 (2020). MSC: 16L99 16U99 16D25 16S36 PDF BibTeX XML Cite \textit{Z. Piao} et al., Korean J. Math. 28, No. 1, 65--73 (2020; Zbl 07244689) Full Text: DOI
Facchini, Alberto; Nazemian, Zahra Covering classes, strongly flat modules, and completions. (English) Zbl 07242442 Math. Z. 296, No. 1-2, 239-259 (2020). MSC: 16E30 16W80 18G15 16L30 16D70 16S50 PDF BibTeX XML Cite \textit{A. Facchini} and \textit{Z. Nazemian}, Math. Z. 296, No. 1--2, 239--259 (2020; Zbl 07242442) Full Text: DOI
Příhoda, Pavel Classifying modules in add of a class of modules with semilocal endomorphism rings. (English) Zbl 1440.16007 Facchini, Alberto (ed.) et al., Advances in rings, modules and factorizations. Selected papers based on the presentations at the international conference on rings and factorizations, Graz, Austria, February 19–23, 2018. Cham: Springer. Springer Proc. Math. Stat. 321, 269-282 (2020). MSC: 16D70 16D40 16L30 PDF BibTeX XML Cite \textit{P. Příhoda}, Springer Proc. Math. Stat. 321, 269--282 (2020; Zbl 1440.16007) Full Text: DOI
Moradzadeh-Dehkordi, Ali Some new characterizations of quasi-Frobenius rings by using pure-injectivity. (English) Zbl 1452.16021 Bull. Korean Math. Soc. 57, No. 2, 371-381 (2020). Reviewer: François Couchot (Caen) MSC: 16L60 13C11 16P40 PDF BibTeX XML Cite \textit{A. Moradzadeh-Dehkordi}, Bull. Korean Math. Soc. 57, No. 2, 371--381 (2020; Zbl 1452.16021) Full Text: DOI
Marks, Greg; Mazurek, Ryszard On annelidan, distributive, and Bézout rings. (English) Zbl 07224953 Can. J. Math. 72, No. 4, 1082-1110 (2020). MSC: 06D99 16D25 16P50 16P70 16S85 16U20 16L30 16N20 16N60 16P40 16P60 PDF BibTeX XML Cite \textit{G. Marks} and \textit{R. Mazurek}, Can. J. Math. 72, No. 4, 1082--1110 (2020; Zbl 07224953) Full Text: DOI
Nordstrom, Hans; Nordstrom, Jennifer A. Firkins Leavitt path algebras over arbitrary unital rings and algebras. (English) Zbl 1452.16030 J. Algebra Appl. 19, No. 6, Article ID 2050107, 11 p. (2020). Reviewer: Lia Vas (Philadelphia) MSC: 16S88 16L30 16W99 PDF BibTeX XML Cite \textit{H. Nordstrom} and \textit{J. A. F. Nordstrom}, J. Algebra Appl. 19, No. 6, Article ID 2050107, 11 p. (2020; Zbl 1452.16030) Full Text: DOI
Klappenecker, Andreas; Lee, Sangjun; Nemec, Andrew Quantum error-correcting codes over finite Frobenius rings. (English) Zbl 1442.81019 Bruillard, Paul (ed.) et al., Topological phases of matter and quantum computation. AMS special session, Bowdoin College, Brunswick, ME, USA, September 24–25, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 747, 199-214 (2020). MSC: 81P68 81P73 16L60 19A22 PDF BibTeX XML Cite \textit{A. Klappenecker} et al., Contemp. Math. 747, 199--214 (2020; Zbl 1442.81019) Full Text: DOI
Bulacu, Daniel; Torrecillas, Blas Frobenius monoidal algebras and related topics. (English) Zbl 1442.81060 Siles Molina, Mercedes (ed.) et al., Associative and non-associative algebras and applications. Proceedings of the 3rd Moroccan Andalusian meeting on algebras and their applications, MAMAA 2018, Chefchaouen, Morocco, April 12–14, 2018. Cham: Springer. Springer Proc. Math. Stat. 311, 215-252 (2020). MSC: 81T45 16T05 16L60 57R56 PDF BibTeX XML Cite \textit{D. Bulacu} and \textit{B. Torrecillas}, Springer Proc. Math. Stat. 311, 215--252 (2020; Zbl 1442.81060) Full Text: DOI
Correction to: “Rings whose injective hulls are dual square free”. (English) Zbl 07209558 Commun. Algebra 48, No. 6, 2723 (2020). MSC: 16D40 16D50 16D60 16L30 16L60 16P20 16P40 16P60 PDF BibTeX XML Cite Commun. Algebra 48, No. 6, 2723 (2020; Zbl 07209558) Full Text: DOI
Su, Huadong; Wei, Yangjiang Semipotent rings whose unit graphs are planar. (English) Zbl 1446.16043 Algebra Colloq. 27, No. 2, 311-318 (2020). Reviewer: Peter Danchev (Sofia) MSC: 16U60 05C25 16L99 PDF BibTeX XML Cite \textit{H. Su} and \textit{Y. Wei}, Algebra Colloq. 27, No. 2, 311--318 (2020; Zbl 1446.16043) Full Text: DOI
Artenstein, Dalia; González, Ana; Mata, Gustavo Nearly Frobenius structures in some families of algebras. (English) Zbl 1439.16015 São Paulo J. Math. Sci. 14, No. 1, 165-184 (2020). MSC: 16G99 16L60 PDF BibTeX XML Cite \textit{D. Artenstein} et al., São Paulo J. Math. Sci. 14, No. 1, 165--184 (2020; Zbl 1439.16015) Full Text: DOI
Bavula, V. V. The global dimension of the algebras of polynomial integro-differential operators \(\mathbb{I}_n\) and the Jacobian algebras \(\mathbb{A}_n\). (English) Zbl 07195861 J. Algebra Appl. 19, No. 2, Article ID 2050030, 28 p. (2020). MSC: 16S32 16E10 16L30 16S85 16U20 16S60 16W50 PDF BibTeX XML Cite \textit{V. V. Bavula}, J. Algebra Appl. 19, No. 2, Article ID 2050030, 28 p. (2020; Zbl 07195861) Full Text: DOI
Al-Hashmi, Samah A.; Nauman, S. Khalid Semiperfect rings and their extensions. (English) Zbl 1437.16001 Rend. Circ. Mat. Palermo (2) 69, No. 1, 253-258 (2020). MSC: 16D10 16L30 13B02 16N20 PDF BibTeX XML Cite \textit{S. A. Al-Hashmi} and \textit{S. K. Nauman}, Rend. Circ. Mat. Palermo (2) 69, No. 1, 253--258 (2020; Zbl 1437.16001) Full Text: DOI
Quynh, Truong Cong; Koşan, Muhammet Tamer; Thuyet, Le Van On automorphism-invariant rings with chain conditions. (English) Zbl 1439.16023 Vietnam J. Math. 48, No. 1, 23-29 (2020). MSC: 16P40 16N40 16L60 PDF BibTeX XML Cite \textit{T. C. Quynh} et al., Vietnam J. Math. 48, No. 1, 23--29 (2020; Zbl 1439.16023) Full Text: DOI
Ibrahim, Yasser; Yousif, Mohamed Rings whose injective hulls are dual square free. (English) Zbl 1444.16003 Commun. Algebra 48, No. 3, 1011-1021 (2020); erratum ibid. 48, No. 6, 2723 (2020). Reviewer: Jae Keol Park (Pusan) MSC: 16D40 16D50 16D60 16L30 16L60 16P20 16P40 16P60 PDF BibTeX XML Cite \textit{Y. Ibrahim} and \textit{M. Yousif}, Commun. Algebra 48, No. 3, 1011--1021 (2020; Zbl 1444.16003) Full Text: DOI
Carqueville, Nils; Meusburger, Catherine; Schaumann, Gregor 3-dimensional defect TQFTs and their tricategories. (English) Zbl 1441.81125 Adv. Math. 364, Article ID 107024, 58 p. (2020). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 81T45 18M20 55N22 16L60 32Q25 57R18 PDF BibTeX XML Cite \textit{N. Carqueville} et al., Adv. Math. 364, Article ID 107024, 58 p. (2020; Zbl 1441.81125) Full Text: DOI
Markov, V. T.; Tuganbaev, A. A. Uniserial Artinian centrally essential rings. (English) Zbl 07164018 Beitr. Algebra Geom. 61, No. 1, 23-33 (2020). MSC: 16U70 16U80 16P10 16N60 16L30 PDF BibTeX XML Cite \textit{V. T. Markov} and \textit{A. A. Tuganbaev}, Beitr. Algebra Geom. 61, No. 1, 23--33 (2020; Zbl 07164018) Full Text: DOI
Gómez-Torrecillas, José; Hieta-Aho, Erik; Lobillo, F. J.; López-Permouth, Sergio; Navarro, Gabriel Some remarks on non projective Frobenius algebras and linear codes. (English) Zbl 07149367 Des. Codes Cryptography 88, No. 1, 1-15 (2020). MSC: 94B05 16L60 94B15 PDF BibTeX XML Cite \textit{J. Gómez-Torrecillas} et al., Des. Codes Cryptography 88, No. 1, 1--15 (2020; Zbl 07149367) Full Text: DOI arXiv
Demirci, Yilmaz Mehmet; Türkmen, Ergül Rings with variations of flat covers. (English) Zbl 07254044 Honam Math. J. 41, No. 4, 799-812 (2019). MSC: 16D40 16L30 PDF BibTeX XML Cite \textit{Y. M. Demirci} and \textit{E. Türkmen}, Honam Math. J. 41, No. 4, 799--812 (2019; Zbl 07254044) Full Text: DOI
Banakh, Taras; Gavrylkiv, Volodymyr Difference bases in finite abelian groups. (English) Zbl 1449.05034 Acta Sci. Math. 85, No. 1-2, 119-137 (2019). MSC: 05B10 05E16 16L99 16Z99 20D60 20K01 PDF BibTeX XML Cite \textit{T. Banakh} and \textit{V. Gavrylkiv}, Acta Sci. Math. 85, No. 1--2, 119--137 (2019; Zbl 1449.05034) Full Text: DOI
Christensen, Lars Winther; Thompson, Peder Pure-minimal chain complexes. (English) Zbl 07197812 Rend. Semin. Mat. Univ. Padova 142, 41-67 (2019). Reviewer: Udhayakumar Ramalingam (Vellore) MSC: 16E05 16E10 16L30 PDF BibTeX XML Cite \textit{L. W. Christensen} and \textit{P. Thompson}, Rend. Semin. Mat. Univ. Padova 142, 41--67 (2019; Zbl 07197812) Full Text: DOI
He, Yaru; Chen, Huanyin Quasipolar properties of a class of \(3 \times 3\) matrix rings. (English) Zbl 1449.16055 J. Hangzhou Norm. Univ., Nat. Sci. 18, No. 3, 300-304, 328 (2019). MSC: 16S50 16L99 PDF BibTeX XML Cite \textit{Y. He} and \textit{H. Chen}, J. Hangzhou Norm. Univ., Nat. Sci. 18, No. 3, 300--304, 328 (2019; Zbl 1449.16055) Full Text: DOI
Nicholson, W. K. On a theorem of Burgess and Stephenson. (English) Zbl 07128637 Can. Math. Bull. 62, No. 3, 603-605 (2019). MSC: 16L60 16D25 16D60 PDF BibTeX XML Cite \textit{W. K. Nicholson}, Can. Math. Bull. 62, No. 3, 603--605 (2019; Zbl 07128637) Full Text: DOI
Bahlekeh, Abdolnaser; Fotouhi, Fahimeh Sadat; Salarian, Shokrollah Representation-theoretic properties of balanced big Cohen-Macaulay modules. (English) Zbl 1430.13015 Math. Z. 293, No. 3-4, 1673-1709 (2019). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13C14 13D07 13H10 16E65 16G60 16L30 16P10 PDF BibTeX XML Cite \textit{A. Bahlekeh} et al., Math. Z. 293, No. 3--4, 1673--1709 (2019; Zbl 1430.13015) Full Text: DOI arXiv
Markov, Viktor T.; Tuganbaev, Askar A. Centrally essential rings. (English. Russian original) Zbl 07126265 Discrete Math. Appl. 29, No. 3, 189-194 (2019); translation from Diskretn. Mat. 30, No. 2, 55-61 (2018). MSC: 16S99 16N60 16L30 PDF BibTeX XML Cite \textit{V. T. Markov} and \textit{A. A. Tuganbaev}, Discrete Math. Appl. 29, No. 3, 189--194 (2019; Zbl 07126265); translation from Diskretn. Mat. 30, No. 2, 55--61 (2018) Full Text: DOI
Birkenmeier, Gary F.; Almallah, Omar A classification of indecomposable quasi-Frobenius rings. I. (English) Zbl 07122759 Commun. Algebra 47, No. 12, 5121-5132 (2019). Reviewer: Jens Zumbrägel (Passau) MSC: 16L60 16D50 16D70 PDF BibTeX XML Cite \textit{G. F. Birkenmeier} and \textit{O. Almallah}, Commun. Algebra 47, No. 12, 5121--5132 (2019; Zbl 07122759) Full Text: DOI
Dougherty, Steven T.; Kör, Arda; Leroy, André Generating characters of non-commutative Frobenius rings. (English) Zbl 1429.16040 Leroy, André (ed.) et al., Rings, modules and codes. Fifth international conference on noncommutative rings and their applications, University of Artois, Lens, France, June 12–15, 2017. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 727, 83-92 (2019). MSC: 16Z05 11T71 16L60 PDF BibTeX XML Cite \textit{S. T. Dougherty} et al., Contemp. Math. 727, 83--92 (2019; Zbl 1429.16040) Full Text: DOI
Kikumasa, Isao; Koike, Kazutoshi; Oshiro, Kiyoichi Complex rings and quaternion rings. (English) Zbl 1427.16012 East-West J. Math. 21, No. 1, 1-19 (2019). MSC: 16K20 12E15 16L60 PDF BibTeX XML Cite \textit{I. Kikumasa} et al., East-West J. Math. 21, No. 1, 1--19 (2019; Zbl 1427.16012)
Facchini, Alberto Semilocal categories and modules with semilocal endomorphism rings. (English) Zbl 1444.18002 Progress in Mathematics 331. Cham: Birkhäuser (ISBN 978-3-030-23283-2/hbk; 978-3-030-23284-9/ebook). xvi, 463 p. (2019). Reviewer: Constantin Năstăsescu (Bucureşti) MSC: 18-02 16-02 16D70 16L30 16S50 18E05 20M14 PDF BibTeX XML Cite \textit{A. Facchini}, Semilocal categories and modules with semilocal endomorphism rings. Cham: Birkhäuser (2019; Zbl 1444.18002) Full Text: DOI
Edison, Jeremy; Iovanov, Miodrag C. On invertible algebras. (English) Zbl 1448.16032 J. Algebra 538, 1-34 (2019). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 16S34 16B99 13G05 15A03 16U60 16S50 16D90 16L30 PDF BibTeX XML Cite \textit{J. Edison} and \textit{M. C. Iovanov}, J. Algebra 538, 1--34 (2019; Zbl 1448.16032) Full Text: DOI
Nechaev, Aleksandr A.; Tsypyschev, Vadim N. Artinian bimodule with quasi-Frobenius bimodule of translations. (English. Russian original) Zbl 1451.16003 Discrete Math. Appl. 29, No. 2, 103-119 (2019); translation from Diskretn. Mat. 29, No. 3, 70-91 (2017). MSC: 16D20 16L30 16L60 16P20 94A55 PDF BibTeX XML Cite \textit{A. A. Nechaev} and \textit{V. N. Tsypyschev}, Discrete Math. Appl. 29, No. 2, 103--119 (2019; Zbl 1451.16003); translation from Diskretn. Mat. 29, No. 3, 70--91 (2017) Full Text: DOI
Markov, Victor T.; Tuganbaev, Askar A. Rings essential over their centers. (English) Zbl 07098065 Commun. Algebra 47, No. 4, 1642-1649 (2019). MSC: 16U70 16U80 16P10 16N60 16L30 PDF BibTeX XML Cite \textit{V. T. Markov} and \textit{A. A. Tuganbaev}, Commun. Algebra 47, No. 4, 1642--1649 (2019; Zbl 07098065) Full Text: DOI
Letzter, Edward S.; Wang, Linhong; Wang, Xingting On \(q\)-commutative power and Laurent series rings at roots of unity. (English) Zbl 1430.16043 Commun. Algebra 47, No. 5, 2149-2156 (2019). Reviewer: Edward Mosteig (Los Angeles) MSC: 16W60 16L30 16S34 PDF BibTeX XML Cite \textit{E. S. Letzter} et al., Commun. Algebra 47, No. 5, 2149--2156 (2019; Zbl 1430.16043) Full Text: DOI arXiv
Zhanmin, Zhu A generalization of simple-injective rings. (English) Zbl 07089108 Int. Electron. J. Algebra 26, 76-86 (2019). MSC: 16D50 16L30 16L60 PDF BibTeX XML Cite \textit{Z. Zhanmin}, Int. Electron. J. Algebra 26, 76--86 (2019; Zbl 07089108) Full Text: Link
Feng, Feng; Shen, Liang A remark on QF rings. (English) Zbl 1450.16013 Bull. Korean Math. Soc. 56, No. 1, 179-186 (2019). MSC: 16L60 16D50 PDF BibTeX XML Cite \textit{F. Feng} and \textit{L. Shen}, Bull. Korean Math. Soc. 56, No. 1, 179--186 (2019; Zbl 1450.16013) Full Text: DOI
Ibrahim, Yasser; Yousif, Mohamed Dual Utumi modules. (English) Zbl 1448.16005 Commun. Algebra 47, No. 9, 3889-3904 (2019). MSC: 16D40 16D50 16D60 16L60 16P40 16P60 PDF BibTeX XML Cite \textit{Y. Ibrahim} and \textit{M. Yousif}, Commun. Algebra 47, No. 9, 3889--3904 (2019; Zbl 1448.16005) Full Text: DOI
Ibrahim, Yasser; Yousif, Mohamed Dual-square-free modules. (English) Zbl 07068124 Commun. Algebra 47, No. 7, 2954-2966 (2019). MSC: 16D40 16D50 16D60 16L30 16L60 16P20 16P40 16P60 PDF BibTeX XML Cite \textit{Y. Ibrahim} and \textit{M. Yousif}, Commun. Algebra 47, No. 7, 2954--2966 (2019; Zbl 07068124) Full Text: DOI
Gluesing-Luerssen, Heide; Pllaha, Tefjol On quantum stabilizer codes derived from local Frobenius rings. (English) Zbl 1446.94179 Finite Fields Appl. 58, 145-173 (2019). Reviewer: Joël Kabore (Ouagadougou) MSC: 94B05 16P10 16L60 PDF BibTeX XML Cite \textit{H. Gluesing-Luerssen} and \textit{T. Pllaha}, Finite Fields Appl. 58, 145--173 (2019; Zbl 1446.94179) Full Text: DOI arXiv
Fahmy, M. H.; Hassanein, A. M.; Abdelwahab, S. M. Two extensions of right G-semilocal and right N-semilocal rings. (English) Zbl 1446.16021 J. Algebra Appl. 18, No. 1, Article ID 1950012, 8 p. (2019). MSC: 16L30 16S20 16P40 16P60 PDF BibTeX XML Cite \textit{M. H. Fahmy} et al., J. Algebra Appl. 18, No. 1, Article ID 1950012, 8 p. (2019; Zbl 1446.16021) Full Text: DOI
Nikseresht, Ashkan A new proof of commutative case of Wood’s theorem characterizing rings with a generating character. (English) Zbl 1440.13108 Beitr. Algebra Geom. 60, No. 1, 193-196 (2019). MSC: 13M99 16L60 94B05 PDF BibTeX XML Cite \textit{A. Nikseresht}, Beitr. Algebra Geom. 60, No. 1, 193--196 (2019; Zbl 1440.13108) Full Text: DOI
Schneider, Friedrich Martin; Zumbrägel, Jens MacWilliams’ extension theorem for infinite rings. (English) Zbl 1425.16012 Proc. Am. Math. Soc. 147, No. 3, 947-961 (2019). Reviewer: Jae Keol Park (Pusan) MSC: 16L60 16P20 94B05 PDF BibTeX XML Cite \textit{F. M. Schneider} and \textit{J. Zumbrägel}, Proc. Am. Math. Soc. 147, No. 3, 947--961 (2019; Zbl 1425.16012) Full Text: DOI
Behboodi, M.; Roointan-Isfahani, S. Local rings whose modules are almost serial. (English) Zbl 1445.16004 J. Pure Appl. Algebra 223, No. 1, 369-379 (2019). MSC: 16D70 13A18 16L30 13F30 PDF BibTeX XML Cite \textit{M. Behboodi} and \textit{S. Roointan-Isfahani}, J. Pure Appl. Algebra 223, No. 1, 369--379 (2019; Zbl 1445.16004) Full Text: DOI
Pellegrini, Marco Regular subgroups, nilpotent algebras and projectively congruent matrices. (English) Zbl 1446.20010 Int. J. Group Theory 7, No. 1, 51-56 (2018). MSC: 20B35 15A21 16L99 16N40 PDF BibTeX XML Cite \textit{M. Pellegrini}, Int. J. Group Theory 7, No. 1, 51--56 (2018; Zbl 1446.20010) Full Text: DOI
Alvarado-García, Alejandro; Cejudo-Castilla, Cèsar; Pérez-Quijano, Tania Gabriela; Vilchis-Montalvo, Ivan Fernando On pseudo-injective and pseudo-projective modules. (English) Zbl 1426.16007 Bul. Acad. Ştiinţe Repub. Mold., Mat. 2018, No. 3(88), 57-67 (2018). MSC: 16D80 16L60 PDF BibTeX XML Cite \textit{A. Alvarado-García} et al., Bul. Acad. Ştiinţe Repub. Mold., Mat. 2018, No. 3(88), 57--67 (2018; Zbl 1426.16007) Full Text: Link
Jang, Young Ho; Jun, Sang Pyo The Gauss sums over Galois rings and its absolute values. (English) Zbl 1440.11226 Korean J. Math. 26, No. 3, 519-535 (2018). MSC: 11T24 16L60 42A38 42B10 PDF BibTeX XML Cite \textit{Y. H. Jang} and \textit{S. P. Jun}, Korean J. Math. 26, No. 3, 519--535 (2018; Zbl 1440.11226) Full Text: DOI
Paykan, K.; Habibi, M. Further results on skew monoid rings of a certain free monoid. I. (English) Zbl 1438.16045 Cogent Math. Stat. 5, Article ID 1436664, 12 p. (2018). MSC: 16S35 16N40 16L60 16S50 PDF BibTeX XML Cite \textit{K. Paykan} and \textit{M. Habibi}, Cogent Math. Stat. 5, Article ID 1436664, 12 p. (2018; Zbl 1438.16045) Full Text: DOI
Karamzadeh, O. A. S.; Nazari, N. On maximal commutative subrings of non-commutative rings. (English) Zbl 1414.16020 Commun. Algebra 46, No. 12, 5083-5115 (2018). MSC: 16P70 16U70 16L30 16N60 16P10 13E10 PDF BibTeX XML Cite \textit{O. A. S. Karamzadeh} and \textit{N. Nazari}, Commun. Algebra 46, No. 12, 5083--5115 (2018; Zbl 1414.16020) Full Text: DOI
Almahdi, Fuad Ali Ahmed Quasi-Frobenius amalgamated algebras. (English) Zbl 1407.16016 Bull. Iran. Math. Soc. 44, No. 3, 807-818 (2018). MSC: 16L60 16D50 13E10 PDF BibTeX XML Cite \textit{F. A. A. Almahdi}, Bull. Iran. Math. Soc. 44, No. 3, 807--818 (2018; Zbl 1407.16016) Full Text: DOI
Sharma, Garima; Singh, Amit B. Strongly \(r\)-clean rings. (English) Zbl 1404.16037 Int. J. Math. Comput. Sci. 13, No. 2, 207-214 (2018). MSC: 16U99 16E50 16L30 PDF BibTeX XML Cite \textit{G. Sharma} and \textit{A. B. Singh}, Int. J. Math. Comput. Sci. 13, No. 2, 207--214 (2018; Zbl 1404.16037) Full Text: Link
Hoshino, Mitsuo; Kameyama, Noritsugu; Koga, Hirotaka Infinite sequences of Frobenius extensions. (English) Zbl 1409.16015 Sanada, Katsunori (ed.), Proceedings of the 50th symposium on ring theory and representation theory, University of Yamanashi, Yamanashi, Japan, October 7–10, 2017. Yamanashi: Symposium on Ring Theory and Representation Theory Organizing Committee. 60-61 (2018). MSC: 16L60 PDF BibTeX XML Cite \textit{M. Hoshino} et al., in: Proceedings of the 50th symposium on ring theory and representation theory, University of Yamanashi, Yamanashi, Japan, October 7--10, 2017. Yamanashi: Symposium on Ring Theory and Representation Theory Organizing Committee. 60--61 (2018; Zbl 1409.16015)
Huynh, Dinh Van; Tai, Dinh Duc Some results and questions on left-right symmetry. (English) Zbl 1398.16016 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, 181-187 (2018). MSC: 16N60 16P40 16L60 16P20 PDF BibTeX XML Cite \textit{D. Van Huynh} and \textit{D. D. Tai}, Contemp. Math. 715, 181--187 (2018; Zbl 1398.16016) Full Text: DOI
Nguyen, Hau Xuan; Koşan, M. Tamer; Zhou, Yiqiang On \(\delta\)-semiperfect modules. (English) Zbl 1400.16006 Commun. Algebra 46, No. 11, 4965-4977 (2018). MSC: 16D80 16D40 16E50 16L30 PDF BibTeX XML Cite \textit{H. X. Nguyen} et al., Commun. Algebra 46, No. 11, 4965--4977 (2018; Zbl 1400.16006) Full Text: DOI
Nguyen, Xuan Hau; Zhou, Yiqiang Rings whose cyclic modules are lifting and \(\oplus\)-supplemented. (English) Zbl 1400.16002 Commun. Algebra 46, No. 11, 4918-4927 (2018). MSC: 16D40 16D80 16L30 16P20 PDF BibTeX XML Cite \textit{X. H. Nguyen} and \textit{Y. Zhou}, Commun. Algebra 46, No. 11, 4918--4927 (2018; Zbl 1400.16002) Full Text: DOI
Antrobus, Jared; Gluesing-Luerssen, Heide Lexicodes over finite principal ideal rings. (English) Zbl 1401.94193 Des. Codes Cryptography 86, No. 11, 2661-2676 (2018). MSC: 94B05 11T71 16L60 PDF BibTeX XML Cite \textit{J. Antrobus} and \textit{H. Gluesing-Luerssen}, Des. Codes Cryptography 86, No. 11, 2661--2676 (2018; Zbl 1401.94193) Full Text: DOI
Koie, Hideyuki; Itagaki, Tomohiro; Sanada, Katsunori The ordinary quivers of Hochschild extension algebras for self-injective Nakayama algebras. (English) Zbl 1430.16013 Commun. Algebra 46, No. 9, 3950-3964 (2018). MSC: 16E40 16G20 16L60 16D50 PDF BibTeX XML Cite \textit{H. Koie} et al., Commun. Algebra 46, No. 9, 3950--3964 (2018; Zbl 1430.16013) Full Text: DOI
Sheibani Abdolyousefi, Marjan; Chen, Huanyin Rings in which every zero divisor is the sum or difference of a nilpotent element and an idempotent. (English) Zbl 1399.16096 Math. Rep., Buchar. 20(70), No. 1, 93-106 (2018). MSC: 16U99 16L99 16U60 PDF BibTeX XML Cite \textit{M. Sheibani Abdolyousefi} and \textit{H. Chen}, Math. Rep., Buchar. 20(70), No. 1, 93--106 (2018; Zbl 1399.16096)
Ibrahim, Yasser; Yousif, Mohamed Rings all of whose right ideals are U-modules. (English) Zbl 1440.16001 Commun. Algebra 46, No. 5, 1983-1995 (2018). MSC: 16D40 16D50 16D60 16L30 16P20 16P40 16P60 PDF BibTeX XML Cite \textit{Y. Ibrahim} and \textit{M. Yousif}, Commun. Algebra 46, No. 5, 1983--1995 (2018; Zbl 1440.16001) Full Text: DOI
Selvaraj, Chelliah; Santhakumar, Sudalaimuthu Automorphism liftable modules. (English) Zbl 06890395 Commentat. Math. Univ. Carol. 59, No. 1, 35-44 (2018). Reviewer: Ánh Pham Ngoc (Budapest) MSC: 16D80 16L30 PDF BibTeX XML Cite \textit{C. Selvaraj} and \textit{S. Santhakumar}, Commentat. Math. Univ. Carol. 59, No. 1, 35--44 (2018; Zbl 06890395) Full Text: DOI
Fahmy, M. H.; Hassanein, A. M.; Abdelwahab, S. M. On right G-semilocal rings. (English) Zbl 1442.16021 Commun. Algebra 46, No. 3, 1304-1313 (2018). MSC: 16L30 16P20 16P40 16P60 PDF BibTeX XML Cite \textit{M. H. Fahmy} et al., Commun. Algebra 46, No. 3, 1304--1313 (2018; Zbl 1442.16021) Full Text: DOI
Karparvar, Ali Mohammad; Amini, Babak; Amini, Afshin; Sharif, Habib Additive decomposition of ideals. (English) Zbl 1410.16003 J. Algebra Appl. 17, No. 5, Article ID 1850085, 17 p. (2018). MSC: 16D25 16E50 16L30 16N40 PDF BibTeX XML Cite \textit{A. M. Karparvar} et al., J. Algebra Appl. 17, No. 5, Article ID 1850085, 17 p. (2018; Zbl 1410.16003) Full Text: DOI
Nicholson, W. K. Corrigendum to: “Annihilator-stability and unique generation”. (English) Zbl 1410.16035 J. Pure Appl. Algebra 222, No. 10, 3334-3335 (2018). MSC: 16U60 16E50 16L30 19A13 PDF BibTeX XML Cite \textit{W. K. Nicholson}, J. Pure Appl. Algebra 222, No. 10, 3334--3335 (2018; Zbl 1410.16035) Full Text: DOI
Alkan, M.; Nicholson, W. K.; Özcan, A. Ç. Comorphic rings. (English) Zbl 1385.16015 J. Algebra Appl. 17, No. 4, Article ID 1850075, 21 p. (2018). MSC: 16L60 16D50 16P60 16U99 PDF BibTeX XML Cite \textit{M. Alkan} et al., J. Algebra Appl. 17, No. 4, Article ID 1850075, 21 p. (2018; Zbl 1385.16015) Full Text: DOI
Hesse, Jan An equivalence between semisimple symmetric Frobenius algebras and Calabi-Yau categories. (English) Zbl 1418.16021 J. Homotopy Relat. Struct. 13, No. 1, 251-272 (2018). MSC: 16T25 16L60 18D10 PDF BibTeX XML Cite \textit{J. Hesse}, J. Homotopy Relat. Struct. 13, No. 1, 251--272 (2018; Zbl 1418.16021) Full Text: DOI
Majid, Shahn; Pachoł, Anna Classification of digital affine noncommutative geometries. (English) Zbl 1387.81245 J. Math. Phys. 59, No. 3, 033505, 26 p. (2018). MSC: 81R60 83C65 08A40 16L60 16D20 PDF BibTeX XML Cite \textit{S. Majid} and \textit{A. Pachoł}, J. Math. Phys. 59, No. 3, 033505, 26 p. (2018; Zbl 1387.81245) Full Text: DOI
Koşan, Tamer; Sahinkaya, Serap; Zhou, Yiqiang Additive maps on units of rings. (English) Zbl 1383.16022 Can. Math. Bull. 61, No. 1, 130-141 (2018). MSC: 16L30 16U60 15A99 PDF BibTeX XML Cite \textit{T. Koşan} et al., Can. Math. Bull. 61, No. 1, 130--141 (2018; Zbl 1383.16022) Full Text: DOI
Hu, Wei; Xi, Changchang Derived equivalences and stable equivalences of Morita type. II. (English) Zbl 1431.16012 Rev. Mat. Iberoam. 34, No. 1, 59-110 (2018). MSC: 16G10 18G80 20C20 16L60 PDF BibTeX XML Cite \textit{W. Hu} and \textit{C. Xi}, Rev. Mat. Iberoam. 34, No. 1, 59--110 (2018; Zbl 1431.16012) Full Text: DOI arXiv
Gluesing-Luerssen, Heide; Pllaha, Tefjol Extension theorems for various weight functions over Frobenius bimodules. (English) Zbl 1412.94230 J. Algebra Appl. 17, No. 3, Article ID 1850052, 28 p. (2018). MSC: 94B05 16L60 16P10 PDF BibTeX XML Cite \textit{H. Gluesing-Luerssen} and \textit{T. Pllaha}, J. Algebra Appl. 17, No. 3, Article ID 1850052, 28 p. (2018; Zbl 1412.94230) Full Text: DOI arXiv
Brešar, Matej; Hanselka, Christoph; Klep, Igor; Volčič, Jurij Skolem-Noether algebras. (English) Zbl 1439.16016 J. Algebra 498, 294-314 (2018). MSC: 16K20 16W20 16L30 16U10 PDF BibTeX XML Cite \textit{M. Brešar} et al., J. Algebra 498, 294--314 (2018; Zbl 1439.16016) Full Text: DOI
Külshammer, Burkhard; Landrock, Pierre; Reinhardt, Stephanie Algebras related to a class of 3-blocks of defect 2. (English) Zbl 06826999 Int. Electron. J. Algebra 23, 1-24 (2018). MSC: 20C20 16L60 PDF BibTeX XML Cite \textit{B. Külshammer} et al., Int. Electron. J. Algebra 23, 1--24 (2018; Zbl 06826999) Full Text: DOI
Bemm, Laerte; Cortes, Wagner Ring theoretic properties of partial crossed products and related themes. (English) Zbl 1396.16019 J. Algebra 493, 267-296 (2018). MSC: 16S35 16W22 16P20 16L30 PDF BibTeX XML Cite \textit{L. Bemm} and \textit{W. Cortes}, J. Algebra 493, 267--296 (2018; Zbl 1396.16019) Full Text: DOI arXiv
Do, Thuat Van; Hoang, Hai Dinh; Baupradist, Samruam More characterizations of Dedekind domains and V-rings. (English) Zbl 1424.16012 Turk. J. Math. 41, No. 1, 33-42 (2017). MSC: 16D50 16L60 13E05 PDF BibTeX XML Cite \textit{T. Van Do} et al., Turk. J. Math. 41, No. 1, 33--42 (2017; Zbl 1424.16012) Full Text: DOI
Kurtulmaz, Yosum Very cleanness of generalized matrices. (English) Zbl 1405.15008 Bull. Iran. Math. Soc. 43, No. 5, 1457-1465 (2017). MSC: 15A12 15B99 16L99 PDF BibTeX XML Cite \textit{Y. Kurtulmaz}, Bull. Iran. Math. Soc. 43, No. 5, 1457--1465 (2017; Zbl 1405.15008) Full Text: Link
Koie, Hideyuki; Itagaki, Tomohiro; Sanada, Katsunori On presentations of Hochschild extension algebras for a class of self-injective Nakayama algebras. (English) Zbl 1396.16003 SUT J. Math. 53, No. 2, 135-148 (2017). MSC: 16E40 16G20 16L60 PDF BibTeX XML Cite \textit{H. Koie} et al., SUT J. Math. 53, No. 2, 135--148 (2017; Zbl 1396.16003)
Xu, Hui; Zhao, Zhibing Relative torsionless modules. (Chinese. English summary) Zbl 1399.16057 J. Shandong Univ., Nat. Sci. 52, No. 8, 75-80 (2017). MSC: 16P40 16E30 16L60 PDF BibTeX XML Cite \textit{H. Xu} and \textit{Z. Zhao}, J. Shandong Univ., Nat. Sci. 52, No. 8, 75--80 (2017; Zbl 1399.16057) Full Text: DOI
Eryilmaz, Figen Strongly generalized (weakly) \(\delta\)-supplemented modules. (English) Zbl 1399.16002 Sci. Stud. Res., Ser. Math. Inform. 27, No. 1, 21-32 (2017). MSC: 16D10 16L30 16D90 16D80 PDF BibTeX XML Cite \textit{F. Eryilmaz}, Sci. Stud. Res., Ser. Math. Inform. 27, No. 1, 21--32 (2017; Zbl 1399.16002)
Crawley-Boevey, William (ed.); Iyama, Osamu (ed.); Krause, Henning (ed.) Representation theory of quivers and finite dimensional algebras. Abstracts from the workshop held February 19–25, 2017. (English) Zbl 1390.00083 Oberwolfach Rep. 14, No. 1, 591-681 (2017). MSC: 00B05 00B25 16Exx 16Gxx 16L60 16Txx 18Exx 18Gxx 13Dxx 15Axx 14Lxx 16Sxx 17Bxx 16-06 18-06 17-06 13-06 14-06 13F60 20Cxx 14D20 PDF BibTeX XML Cite \textit{W. Crawley-Boevey} (ed.) et al., Oberwolfach Rep. 14, No. 1, 591--681 (2017; Zbl 1390.00083) Full Text: DOI
Türkmen, Burcu Nişanci; Türkmen, Ergül On a generalization of weakly supplemented modules. (English) Zbl 1399.16004 An. Ştiinţ. Univ. Al. I. Cuza Iaşi, Ser. Nouă, Mat. 63, No. 2, 441-448 (2017). MSC: 16D10 16D80 16N80 16L30 PDF BibTeX XML Cite \textit{B. N. Türkmen} and \textit{E. Türkmen}, An. Ştiinţ. Univ. Al. I. Cuza Iaşi, Ser. Nouă, Mat. 63, No. 2, 441--448 (2017; Zbl 1399.16004)
Zhu, Zhanmin Some characterizations of quasi-Frobenius rings. (English) Zbl 1381.16019 Boll. Unione Mat. Ital. 10, No. 4, 627-636 (2017). MSC: 16L60 16P40 16P60 16D50 PDF BibTeX XML Cite \textit{Z. Zhu}, Boll. Unione Mat. Ital. 10, No. 4, 627--636 (2017; Zbl 1381.16019) Full Text: DOI
Xiong, Tao; Wang, Fanggui; Wu, Xiaoying \(\infty \)-copure flat modules. (Chinese. English summary) Zbl 1389.16006 J. Jilin Univ., Sci. 55, No. 3, 519-522 (2017). MSC: 16D40 16E30 16E60 16L60 PDF BibTeX XML Cite \textit{T. Xiong} et al., J. Jilin Univ., Sci. 55, No. 3, 519--522 (2017; Zbl 1389.16006) Full Text: DOI
Putcha, Mohan S. Idempotent conjugacy in monoids. (English) Zbl 1414.20018 Semigroup Forum 95, No. 2, 366-378 (2017). Reviewer: Jan Okniński (Warszawa) MSC: 20M10 20M20 20M25 16L99 PDF BibTeX XML Cite \textit{M. S. Putcha}, Semigroup Forum 95, No. 2, 366--378 (2017; Zbl 1414.20018) Full Text: DOI
Lee, Gangyong; Oshiro, Kiyoichi Quaternion rings and octonion rings. (English) Zbl 1385.16016 Front. Math. China 12, No. 1, 143-155 (2017). MSC: 16L60 16H05 16U80 16D50 PDF BibTeX XML Cite \textit{G. Lee} and \textit{K. Oshiro}, Front. Math. China 12, No. 1, 143--155 (2017; Zbl 1385.16016) Full Text: DOI
Han, Juncheol; Lee, Yang; Park, Sangwon Structure of abelian rings. (English) Zbl 1385.16037 Front. Math. China 12, No. 1, 117-134 (2017). MSC: 16U60 16W22 16L30 PDF BibTeX XML Cite \textit{J. Han} et al., Front. Math. China 12, No. 1, 117--134 (2017; Zbl 1385.16037) Full Text: DOI
Ibrahim, Yasser; Koşan, M. Tamer; Quynh, Truong Cong; Yousif, Mohamed Corrigendum to: “Simple-direct-modules”. (English) Zbl 1412.16002 Commun. Algebra 45, No. 12, 5262-5263 (2017). MSC: 16D60 16D40 16L30 16P20 PDF BibTeX XML Cite \textit{Y. Ibrahim} et al., Commun. Algebra 45, No. 12, 5262--5263 (2017; Zbl 1412.16002) Full Text: DOI
Paykan, Kamal Some new results on skew triangular matrix rings with constant diagonal. (English) Zbl 1388.16029 Vietnam J. Math. 45, No. 4, 575-584 (2017). MSC: 16S35 16N40 16L60 16S50 PDF BibTeX XML Cite \textit{K. Paykan}, Vietnam J. Math. 45, No. 4, 575--584 (2017; Zbl 1388.16029) Full Text: DOI
Nguyen, Xuan Hau; Yousif, Mohamed F.; Zhou, Yiqiang Rings whose cyclics are \(D3\)-modules. (English) Zbl 1383.16005 J. Algebra Appl. 16, No. 10, Article ID 1750184, 15 p. (2017). MSC: 16D70 16E50 16L30 PDF BibTeX XML Cite \textit{X. H. Nguyen} et al., J. Algebra Appl. 16, No. 10, Article ID 1750184, 15 p. (2017; Zbl 1383.16005) Full Text: DOI
Xiang, Yueming A generalization of VNL-rings and \(PP\)-rings. (English) Zbl 1389.16025 J. Math. Res. Appl. 37, No. 2, 199-208 (2017). MSC: 16E50 16L30 PDF BibTeX XML Cite \textit{Y. Xiang}, J. Math. Res. Appl. 37, No. 2, 199--208 (2017; Zbl 1389.16025) Full Text: DOI
Koşan, M. Tamer; Quynh, Truong Cong On infinite direct sums of lifting modules. (English) Zbl 1383.16002 Asian-Eur. J. Math. 10, No. 3, Article ID 1750049, 11 p. (2017). MSC: 16D50 16L60 16P20 16P40 PDF BibTeX XML Cite \textit{M. T. Koşan} and \textit{T. C. Quynh}, Asian-Eur. J. Math. 10, No. 3, Article ID 1750049, 11 p. (2017; Zbl 1383.16002) Full Text: DOI