Results 11 to 20 of about 194 (126)

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]

Adv Intell Discov
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc   +2 more sources

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

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
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Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]

, 2010
We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain of functions, which we have named integro-differential algebras.
Regensburger, Georg, Erich L. Kaltofen, Buchberger, Bruno, Rosenkranz, Markus, Tec, Loredana   +4 more
core   +1 more source

Smarandache near-rings [PDF]

, 2002
The main concern of this book is the study of Smarandache analogue properties of near-rings and Smarandache near-rings; so it does not promise to cover all concepts or the proofs of all ...
Vasantha, Kandasamy
core   +1 more source

SMARANDACHE SPECIAL DEFINITE ALGEBRAIC STRUCTURES [PDF]

, 2009
Introducing the notion of Smarandache special definite algebraic structures, also called equivalently as Smarandache definite special algebraic structures.
Vasantha, Kandasamy
core   +1 more source

The h-vector of a standard determinantal scheme [PDF]

, 2014
In this dissertation we study the h-vector of a standard determinantal scheme $X\subseteq\mathbb{P}^{n}$ via the corresponding degree matrix. We find simple formulae for the length and the last entries of the h-vector, as well as an explicit formula
Mateev, Matey
core   +1 more source

Smarandache Fuzzy Algebra [PDF]

, 2003
groupoid semi group semigroup group loop group groupoid semigroup loop semi group group ...
Vasantha, Kandasamy, W. B. Vasantha Kandasamy, Kandasamy, Vasantha   +2 more
core   +1 more source

Upper Cohen-Macaulay Dimension

, 2004
In this paper, we define a homological invariant for finitely generated modules over a commutative noetherian local ring, which we call upper Cohen-Macaulay dimension.
Tokuji Araya, Yoshino, Yuji, Takahashi, Ryo, Ryo Takahashi, Yuji Yoshino, Araya, Tokuji   +5 more
core   +1 more source

Hilbert C*-modules over a commutative C*-algebra [PDF]

, 2010
Peer ...
Leonel Robert, Robert, L., Aaron Tikuisis, Tikuisis, A.   +3 more
core   +1 more source