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Teori Representasi Grup Hingga
Buku ini menyajikan materi-materi terkait dengan teori representasi grup hingga yang merupakan kajian bidang aljabar lanjut yang melibatkan 3 (tiga) jenis struktur aljabar yakni: struktur grup (khususnya grup hingga), struktur ring (khususnya lapangan), dan ruang vektor atas lapangan, yang diberikan pada program studi matematika. Buku ini akan menjadi jembatan yang sangat baik bagi mahasiswa S-1 Matematika, S-2 Matematika, dan S-3 Matematika untuk memasuki area penelitian bidang aljabar abstrak lanjut (advanced abstract algebra). Dengan buku ini pembaca akan dapat melihat keterkaitan antara stuktur aljabar yang satu dengan stuktur aljabar yang lain. Selanjutnya, perlu disampaikan di sini bah...
Ring Theory 2019 - Proceedings Of The Eighth China-japan-korea International Symposium On Ring Theory
Since 1991, the group of ring theorists from China and Japan, joined by Korea from 1995 onwards, took turns to hold the quadrennial international conferences (sometimes also referred to as symposiums). As the proceedings of the eighth conference held in Nagoya, Japan in 2019, this volume consists of a collection of articles by invited speakers (survey) and general speakers (survey and original), all of which were refereed by world experts.The survey articles show the trends of current research and offer clear, thorough explanations that are ideal for researchers also in other specialized areas of ring theory. The original articles display new results, ideas and tools for research investigations in ring theory.The articles cover major areas in ring theory, such as: structures of rings, module theory, homological algebra, groups, Hopf algebras, Lie theory, representation theory of rings, (non-commutative) algebraic geometry, commutative rings (structures, representations), amongst others.This volume is a useful resource for researchers — both beginners and advanced experts — in ring theory.
PENGEMBANGAN KREATIVITAS DAN PERMAINAN EDUKATIF ANAK USIA DINI
Dalam book chapter ini, kami memilah gagasan yang dikirim oleh peserta dala m beberapa tema sebagai berikut : (1) Konsep Dasar Kreativitas Anak Usia Dini, (2) Teori Dan Tokoh Kreativitas Anak Usia Dini, (3) Pengem bangan Kreativitas Melalui Bahan Alam (4) Pengembangan Kreativitas Melalui Bahan Sekitar/Barang Bekas/ Loost Part , (5) Pengembangan Kreativitas Melalui APE Konstruktif, (6) Pengembangan Kreativitas Melalui Gerak Dan Lagu, (7) Pengembangan Kreativitas Melal ui Media, (8) Pengembangan Kreativitas Melalui Media Digital, (9) Konsep Dasar Tentang Permainan Edukatif Anak Usia Dini, (10) Belajar Melalui Bermain Bagi Anak Usia Dini, (11) Bermain Aktif Dan Bermain Pasif, (12) Permainan Tradisional yang Edukatif, (13) Permainan Modern Yang Edukatif, (14) Permainan Edukatif Melalui Bermain Peran, (15) Pengembangan Alat Permainan Edukatif (APE).
Foundations of Module and Ring Theory
This volume provides a comprehensive introduction to module theory and the related part of ring theory, including original results as well as the most recent work. It is a useful and stimulating study for those new to the subject as well as for researchers and serves as a reference volume. Starting form a basic understanding of linear algebra, the theory is presented and accompanied by complete proofs. For a module M, the smallest Grothendieck category containing it is denoted by o[M] and module theory is developed in this category. Developing the techniques in o[M] is no more complicated than in full module categories and the higher generality yields significant advantages: for example, module theory may be developed for rings without units and also for non-associative rings. Numerous exercises are included in this volume to give further insight into the topics covered and to draw attention to related results in the literature.
Nature of Computation and Communication
This book constitutes the refereed post-conference proceedings of the 7th International Conference on Nature of Computation and Communication, ICTCC 2021, held in October 2021. Due to COVID-19 pandemic the conference was held virtually. The 17 revised full papers presented were carefully selected from 43 submissions. The papers of ICTCC 2021 cover formal methods for self-adaptive systems and discuss natural approaches and techniques for natural computing systems and their applications.
Fuzzy Group Theory
This book presents an up-to-date account of research in important topics of fuzzy group theory. It concentrates on the theoretical aspects of fuzzy subgroups of a group. It includes applications to abstract recognition problems and to coding theory. The book begins with basic properties of fuzzy subgroups. Fuzzy subgroups of Hamiltonian, solvable, P-Hall, and nilpotent groups are discussed. Construction of free fuzzy subgroups is determined. Numerical invariants of fuzzy subgroups of Abelian groups are developed. The problem in group theory of obtaining conditions under which a group can be expressed as a direct product of its normal subgroups is considered. Methods for deriving fuzzy theorems from crisp ones are presented and the embedding of lattices of fuzzy subgroups into lattices of crisp groups is discussed as well as deriving membership functions from similarity relations. The material presented makes this book a good reference for graduate students and researchers working in fuzzy group theory.
Pythagorean Fuzzy Sets
This book presents a collection of recent research on topics related to Pythagorean fuzzy set, dealing with dynamic and complex decision-making problems. It discusses a wide range of theoretical and practical information to the latest research on Pythagorean fuzzy sets, allowing readers to gain an extensive understanding of both fundamentals and applications. It aims at solving various decision-making problems such as medical diagnosis, pattern recognition, construction problems, technology selection, and more, under the Pythagorean fuzzy environment, making it of much value to students, researchers, and professionals associated with the field.
The Theory of Finite Groups
From reviews of the German edition: "This is an exciting text and a refreshing contribution to an area in which challenges continue to flourish and to captivate the viewer. Even though representation theory and constructions of simple groups have been omitted, the text serves as a springboard for deeper study in many directions." Mathematical Reviews
Algebra
First year graduate algebra text. The choice of topics is guided by the underlying theme of modules as a basic unifying concept in mathematics. Beginning with standard topics in group and ring theory, the authors then develop basic module theory and its use in investigating bilinear, sesquilinear, and quadratic forms. Annotation copyrighted by Book News, Inc., Portland, OR
