Results 21 to 30 of about 10,192,265 (264)

NEUTROSOPHIC RINGS [PDF]

, 2006
In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy, Kandasamy, W.B. Vasantha, Smarandache, Florentin   +2 more
core   +1 more source

Smarandache rings [PDF]

, 2002
Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
core   +1 more source

Formal Groups and Hopf Algebras over Discrete Rings [PDF]

, 1974
A theory of formal schemes and groups over abitrary rings is presented. The flat formal schemes in this theory have coalgebras of distributions which behave in the usual way. Frobenius and Verschiebung maps are studied.
Robert A. Morris, Bodo Pareigis, Pareigis, Bodo, Morris, R. A.   +3 more
core   +1 more source

Ideal Codes Over Separable Ring Extensions [PDF]

IEEE Transactions on Information Theory, 2017
This paper investigates the application of the theoretical algebraic notion of a separable ring extension, in the realm of cyclic convolutional codes or, more generally, ideal codes. We work under very mild conditions, that cover all previously known as well as new non trivial examples.
José Gómez-Torrecillas, Francisco Javier Lobillo, Gabriel Navarro 0001   +2 more
openaire   +3 more sources

The Gilbert-Varshamov Bound for Stabilizer Codes Over $\mathbb{Z}_m$

IEEE Access, 2018
Quantum codes over finite rings have received a great deal of attention in recent years. Compared with quantum codes over finite fields, a notable advantage of quantum codes over finite rings is that they can adapt to quantum physical systems of ...
Nianqi Tang, Zhuo Li, Lijuan Xing, Ming Zhang   +3 more
doaj   +1 more source

Finite Local Rings of Length 4

Axioms
This paper presents a comprehensive characterization of finite local rings of length 4 and with residue field Fpm, where p is a prime number. Such rings have an order of p4m elements.
Sami Alabiad, Alhanouf Ali Alhomaidhi, Nawal A. Alsarori   +2 more
doaj   +1 more source

A Class of Local Non-Chain Rings of Order p^5m

Axioms
This study investigates finite commutative local non-chain rings characterized by the well-established invariants p, n, m, l, and k, where p denotes a prime number. We specifically focus on Frobenius local rings with length l=5 and an index of nilpotency
Alhanouf Ali Alhomaidhi, Badriyah Rashed Alshahrani, Sami Alabiad   +2 more
doaj   +1 more source

Gorenstein Homological Dimension of Groups Through Flat-Cotorsion Modules [PDF]

Mathematics Interdisciplinary Research
‎The representation theory of groups is one of the most interesting examples of the interaction between physics and pure mathematics‎, ‎where group rings play the main role‎.
Ali Hajizamani
doaj   +1 more source

LDPC Codes Over Rings for PSK Modulation [PDF]

IEEE Transactions on Information Theory, 2005
This paper describes the design and analysis of low-density parity-check (LDPC) codes over rings and shows how these codes, when mapped onto appropriate signal constellations, can be used to effect bandwidth-efficient modulation. Specifically, LDPC codes are constructed over the integer rings Zm and G2m and mapped onto phase-shift keying (PSK)-type ...
Sridhara, D, Fuja, T
openaire   +3 more sources

Commutative Chain Rings with Index of Nilpotency 5 and Residue Field ${\mathbb{F}}_{p^m}$

Axioms
This paper gives a thorough characterization of chain rings with index of nilpotency 5 and residue field Fpm, where p represents a prime number, contributing valuable insights to the field of algebraic structures.
Alhanouf Ali Alhomaidhi, Sami Alabiad, Nawal A. Alsarori   +2 more
doaj   +1 more source