A linear algebra

2021 ◽  
Author(s):  
Matheus Pereira Lobo
Keyword(s):  
Knowledge Base ◽  
Linear Algebra ◽  
White Paper

LINEAR ALGEBRA and its underlying definitions are presented in this white paper (knowledge base).

scholarly journals Vector space over a field

2021 ◽  
Author(s):  
Matheus Pereira Lobo
Keyword(s):  
Vector Space ◽  
Knowledge Base ◽  
White Paper

VECTOR SPACE OVER A FIELD and its underlying definitions are presented in this white paper (knowledge base).

Supremum and infimum

2021 ◽  
Author(s):  
Matheus Pereira Lobo
Keyword(s):  
Lower Bound ◽  
Knowledge Base ◽  
Upper Bound ◽  
White Paper

SUPREMUM (least upper bound), INFIMUM (greatest lower bound) and their underlying definitions are presented in this white paper (knowledge base).

Field, commutative ring, integral domain

2021 ◽  
Author(s):  
Matheus Pereira Lobo
Keyword(s):  
Knowledge Base ◽  
Commutative Ring ◽  
Integral Domain ◽  
White Paper

FIELD, three propositions, and their underlying definitions are presented in this white paper (knowledge base).

RINGS: Almost a ring, semiring, zero, integral domain

2021 ◽  
Author(s):  
Matheus Pereira Lobo
Keyword(s):  
Knowledge Base ◽  
Commutative Ring ◽  
Integral Domain ◽  
White Paper ◽  
Zero Divisors ◽  
Domain Integral ◽  
Zero Integral

RING, commutative ring, almost a ring, semiring, zero ring, zero property, zero divisors, domain, integral domain, and their underlying definitions are presented in this white paper (knowledge base).

scholarly journals Partial and total order relations on a set

2021 ◽  
Author(s):  
Matheus Pereira Lobo
Keyword(s):  
Knowledge Base ◽  
White Paper ◽  
Total Order ◽  
Order Relations

PARTIAL and TOTAL ORDER relations and their underlying definitions are presented in this white paper (knowledge base).

Strong Induction

2021 ◽  
Author(s):  
Matheus Pereira Lobo
Keyword(s):  
Knowledge Base ◽  
White Paper

STRONG INDUCTION and its underlying definitions are presented in this white paper (knowledge base).

Cyclic Group

2021 ◽  
Author(s):  
Matheus Pereira Lobo
Keyword(s):  
Knowledge Base ◽  
Cyclic Group ◽  
White Paper

CYCLIC GROUP and its underlying definitions are presented in this white paper (knowledge base).

scholarly journals Modules over Rings

2021 ◽  
Author(s):  
Matheus Pereira Lobo
Keyword(s):  
Knowledge Base ◽  
White Paper

MODULES over RINGS and its underlying definitions are presented in this white paper (knowledge base).

scholarly journals Every group is isomorphic to a group of permutations

2021 ◽  
Author(s):  
Matheus Pereira Lobo
Keyword(s):  
Symmetric Group ◽  
Knowledge Base ◽  
White Paper

CAYLEY's THEOREM, the SYMMETRIC GROUP THEOREM, and their underlying definitions are presented in this white paper (knowledge base = http://omkb.org).

scholarly journals Linear Transformations

2021 ◽  
Author(s):  
Matheus Pereira Lobo
Keyword(s):  
Knowledge Base ◽  
Linear Transformation ◽  
White Paper ◽  
Linear Transformations

LINEAR TRANSFORMATION and its underlying definitions are presented in this white paper [knowledge base (http://omkb.org)].

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