Now showing items 1-10 of 10

• #### Completions of partial matrices ﻿

(2015-03-23)
A partial matrix over a field is a matrix whose entries are either elements of the field or independent indeterminates. A completion of a partial matrix is any matrix that results from assigning a field element to each ...
• #### Edge colourings and Latin-like squares: Combinatorial structures arising from alternating sign matrices ﻿

(NUI Galway, 2020-04-09)
An alternating sign matrix is a (0, 1, −1)-matrix in which the nonzero entries of each row and column alternate in sign, starting and ending with 1. An alternating signed bipartite graph (ASBG) is a bipartite graph G whose ...
• #### Edge-minimal graphs of exponent 2 ﻿

(2017-11-21)
A simple undirected finite graph G has the me_2-property if every pair of distinct vertices of G is connected by a path of length 2, but this property does not survive the deletion of an edge. If u and v are adjacent ...
• #### Features and purposes of mathematical proofs in the view of novice students: observations from proof validation and evaluation performances ﻿

(2010-12-22)
This thesis describes a comprehensive exploratory study of the approaches taken by novice students to the validation and evaluation of mathematical proofs. A theoretical framework based on sociocultural learning theories ...
• #### Galois extensions and subspaces of alternating bilinear forms with special rank properties ﻿

(Elsevier BV, 2009-04-01)
• #### Galois theory and linear algebra ﻿

(Elsevier BV, 2009-04-01)
• #### Hermitian and skew hermitian forms over local rings ﻿

(Elsevier BV, 2018-08-01)
• #### Partial matrices whose completions all have the same rank ﻿

(Elsevier BV, 2013-01-01)
• #### Partial matrices whose completions have ranks bounded below ﻿

(Elsevier BV, 2011-11-01)
• #### Spaces of matrices without non-zero eigenvalues in their field of definition, and a question of szechtman ﻿

(Elsevier BV, 2011-03-01)