TRACE INEQUALITIES FOR POSITIVE SEMIDEFINITE MATRICES
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2017, Vol 37, Issue 1
Abstract
Certain trace inequalities for positive definite matrices are generalized for positive semidefinite matrices using the notion of the group generalized inverse.
Authors and Affiliations
Projesh Nath Choudhury, K. C. Sivakumar
NON-DETERMINISTIC LINEAR HYPERSUBSTITUTIONS
A non-deterministic hypersubstitution maps operation symbols to sets of terms of the corresponding arity. A non-deterministic hypersubstitution of type τ is said to be linear if it maps any operation symbol to a set of l...
A NOTE ON ADDITIVE GROUPS OF SOME SPECIFIC TORSION-FREE RINGS OF RANK THREE AND MIXED ASSOCIATIVE RINGS
It is studied how rank two pure subgroups of a torsion-free Abelian group of rank three influences its structure and type set. In particular, the criterion for such a subgroup B to be a direct summand of a torsion-free A...
M-SOLID GENERALIZED NON-DETERMINISTIC VARIETIES
A generalized non-deterministic hypersubstitution is a mapping which maps operation symbols of type τ to the set of terms of the same type which does not necessarily preserve the arity. We apply the generalized nondeterm...
SUPERIOR SUBALGEBRAS AND IDEALS OF BCK/BCI-ALGEBRAS
The notions of superior subalgebras and (commutative) superior ideals are introduced, and their relations and related properties are investigated. Conditions for a superior ideal to be commutative are provided.
Some finite directly indecomposable non-monogenic entropic quasigroups with quasi-identity
In this paper we show that there exists an infinite family of pairwise non-isomorphic entropic quasigroups with quasi-identity which are directly indecomposable and they are two-generated. Keywords: quasigroups, entropic...