Results 1 to 10 of about 115,744,936 (297)
Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis 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.
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The Eisenstein ideal at prime-square level has constant rank. [PDF]
Proc Natl Acad Sci U S ALang J, Wake P.
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Interior Microstates and Black Hole Entropy. [PDF]
Entropy (Basel)Sasieta M.
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Spectral Insights into Active Matter: Exceptional Points and the Mathieu Equation. [PDF]
Entropy (Basel)Boltz HH, Ihle T.
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Some of the next articles are maybe not open access.
On Matrix Algebras Over an Algebraically Closed Field
The Annals of Mathematics, 1942Recently a number of writers have discussed interesting developments in the theory of not completely reducible matrix sets and non-semisimple algebras.' Here we have made use of some of these concepts and methods to study matrix algebras over an algebraically closed field.
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On Partially Ordered Algebras Over Fields
Journal of Mathematical Sciences, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Some Remarks on Algebras Over an Algebraically Closed Field
The Annals of Mathematics, 1943The theory of rings with radicals is an interesting and far reaching problem of modern algebra.' In this paper we have examined some aspects of algebras which may have radicals and whose coefficient fields are algebraically closed. Some of the methods employed clearly could be used for less restricted algebras, but a full extension of the results ...
Nesbitt, C., Scott, W. M.
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1995
Up to now we have not considered the possibility of multiplying two vectors to obtain another vector, though we have noted that this is possible in certain cases. For example, we can multiply elements of the vector space ℳ n×n (F) over a field F. A vector space V over a field F is an algebra over F if and only if there exists a bilinear transformation (
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Up to now we have not considered the possibility of multiplying two vectors to obtain another vector, though we have noted that this is possible in certain cases. For example, we can multiply elements of the vector space ℳ n×n (F) over a field F. A vector space V over a field F is an algebra over F if and only if there exists a bilinear transformation (
openaire +1 more source