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Algebraic Structures and Applications
 
Edited by: Ahmed Laghribi Artois University, Lens, France
André Leroy Artois University, Lens, France
Softcover ISBN:  978-1-4704-7763-9
Product Code:  CONM/826
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-8100-1
Product Code:  CONM/826.E
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Softcover ISBN:  978-1-4704-7763-9
eBook: ISBN:  978-1-4704-8100-1
Product Code:  CONM/826.B
List Price: $264.00 $199.50
MAA Member Price: $237.60 $179.55
AMS Member Price: $211.20 $159.60
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Algebraic Structures and Applications
Edited by: Ahmed Laghribi Artois University, Lens, France
André Leroy Artois University, Lens, France
Softcover ISBN:  978-1-4704-7763-9
Product Code:  CONM/826
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-8100-1
Product Code:  CONM/826.E
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Softcover ISBN:  978-1-4704-7763-9
eBook ISBN:  978-1-4704-8100-1
Product Code:  CONM/826.B
List Price: $264.00 $199.50
MAA Member Price: $237.60 $179.55
AMS Member Price: $211.20 $159.60
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 8262025; Estimated: 441 pp
    MSC: Primary 16; 11; 94

    This volume contains the proceedings of two conferences: NonCommutative Rings and their Applications (NCRA, VIII) and Quadratic Forms, Rings and Codes (QFRC II) that were held in August 2023 at Artois University, Lens, France.

    The book contains a few survey papers and many research articles. The latter have been written in an accessible style and should be of interest to specialists, researchers, and graduate students. The subjects cover classical ring theory (e.g. Baer rings, separativity problem, group algebras, quasi-duo) coding theory (MacWilliams identities, codes over Galois rings or from Lie algebras). Quadratic forms are also present in two important and nicely written papers. Finally, some papers offer new perspectives moving from classical ring theory to universal algebras and non-associative structures.

    Readership

    Graduate students and research mathematicians interested in ring theory and coding theory.

  • Table of Contents
     
     
    • Articles
    • Tomasz Brzeziński and Krzysztof Radziszewski — On matrix Lie affgebras
    • Michela Ceria and Teo Mora — Gröbnerian and Gröbner free techniques on non-associative algebras
    • Soumitra Das, Yasser Ibrahim, Özgür Taşdemi̇r and Mohamed Yousif — Perspectively decomposable modules
    • Adam Chapman and Ilan Levin — Invariant for sets of Pfister forms
    • Joshua D. Carey and Steven T. Dougherty — Codes constructed from matrices associated with Lie algebras
    • Steven T. Dougherty, Navin Kashyap, Tania Sidana, Serap Şahinkaya and Deniz Ustun — Symplectically self-orthogonal additive codes and their applications to quantum stabilizer codes
    • Alberto Facchini and David Stanovský — Semidirect products in universal algebra
    • Septimiu Crivei, Derya Keski̇n Tütüncü and Rachid Tribak — On dual relative CS-Baer modules
    • Ahmed Laghribi and Diksha Mukhija — On the excellence for inseparable quartic extensions
    • S Launois and I Oppong — Is $A_1$ of type $B_2$?
    • Christian Lomp, Mohamed Yousif and Yiqiang Zhou — Essentially quasi-duo rings
    • Sergio R. López-Permouth and Ashley H. Pallone — Amenable bases for algebras of entangled polynomials
    • Nasibeh Aramideh and Ahmad Moussavi — Weakly right $\mathfrak {cP}$-Baer ring
    • Khaerudin Saleh, Intan Muchtadi-Alamsyah and Pudji Astuti — On the structure of a finitely generated module
    • Mohd Nazim, Nadeem ur Rehman, Nazim and Shabir Ahmad Mir — On the co-annihilating ideal graph of commutative rings
    • Mehrdad Nasernejad, Veronica Crispin Quiñonez and Jonathan Toledo — Normally torsion-freeness and normality criteria for monomial ideals
    • Pere Ara, Ken Goodearl, Pace P. Nielsen, Enrique Pardo and Francesc Perera — The separativity problem in terms of varieties and diagonal reduction
    • Frédérique Oggier — Revisiting constructions of codes over Galois rings through $q$-ary lifts
    • A. Duarte and C. Polcino Milies — Twisted group algebras of Abelian groups: a survey
    • Louis H. Rowen — Residue structures
    • Jay A. Wood — Weights with maximal symmetry and failures of the MacWilliams identities
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 8262025; Estimated: 441 pp
MSC: Primary 16; 11; 94

This volume contains the proceedings of two conferences: NonCommutative Rings and their Applications (NCRA, VIII) and Quadratic Forms, Rings and Codes (QFRC II) that were held in August 2023 at Artois University, Lens, France.

The book contains a few survey papers and many research articles. The latter have been written in an accessible style and should be of interest to specialists, researchers, and graduate students. The subjects cover classical ring theory (e.g. Baer rings, separativity problem, group algebras, quasi-duo) coding theory (MacWilliams identities, codes over Galois rings or from Lie algebras). Quadratic forms are also present in two important and nicely written papers. Finally, some papers offer new perspectives moving from classical ring theory to universal algebras and non-associative structures.

Readership

Graduate students and research mathematicians interested in ring theory and coding theory.

  • Articles
  • Tomasz Brzeziński and Krzysztof Radziszewski — On matrix Lie affgebras
  • Michela Ceria and Teo Mora — Gröbnerian and Gröbner free techniques on non-associative algebras
  • Soumitra Das, Yasser Ibrahim, Özgür Taşdemi̇r and Mohamed Yousif — Perspectively decomposable modules
  • Adam Chapman and Ilan Levin — Invariant for sets of Pfister forms
  • Joshua D. Carey and Steven T. Dougherty — Codes constructed from matrices associated with Lie algebras
  • Steven T. Dougherty, Navin Kashyap, Tania Sidana, Serap Şahinkaya and Deniz Ustun — Symplectically self-orthogonal additive codes and their applications to quantum stabilizer codes
  • Alberto Facchini and David Stanovský — Semidirect products in universal algebra
  • Septimiu Crivei, Derya Keski̇n Tütüncü and Rachid Tribak — On dual relative CS-Baer modules
  • Ahmed Laghribi and Diksha Mukhija — On the excellence for inseparable quartic extensions
  • S Launois and I Oppong — Is $A_1$ of type $B_2$?
  • Christian Lomp, Mohamed Yousif and Yiqiang Zhou — Essentially quasi-duo rings
  • Sergio R. López-Permouth and Ashley H. Pallone — Amenable bases for algebras of entangled polynomials
  • Nasibeh Aramideh and Ahmad Moussavi — Weakly right $\mathfrak {cP}$-Baer ring
  • Khaerudin Saleh, Intan Muchtadi-Alamsyah and Pudji Astuti — On the structure of a finitely generated module
  • Mohd Nazim, Nadeem ur Rehman, Nazim and Shabir Ahmad Mir — On the co-annihilating ideal graph of commutative rings
  • Mehrdad Nasernejad, Veronica Crispin Quiñonez and Jonathan Toledo — Normally torsion-freeness and normality criteria for monomial ideals
  • Pere Ara, Ken Goodearl, Pace P. Nielsen, Enrique Pardo and Francesc Perera — The separativity problem in terms of varieties and diagonal reduction
  • Frédérique Oggier — Revisiting constructions of codes over Galois rings through $q$-ary lifts
  • A. Duarte and C. Polcino Milies — Twisted group algebras of Abelian groups: a survey
  • Louis H. Rowen — Residue structures
  • Jay A. Wood — Weights with maximal symmetry and failures of the MacWilliams identities
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.