Page 261 - Leech, Jonathan E. 2020. Noncommutative Lattices: Skew Lattices, Skew Boolean Algebras and Beyond. Koper: University of Primorska Press
P. 261
VI: Skew Lattices in Rings
References
K. Cvetko-Vah,
Pure skew lattices in rings, Semigroup Forum, 68 (2004), 268–279.
Pure ∇-bands in rings, Semigroup Forum, 71 (2005a), 93–101.
Skew lattices in matrix rings, Algebra Universalis 53 (2005b), 471–479.
On the structure of semigroups of idempotent matrices, Linear Algebra Appl. 426 (2007),
204–213.
K. Cvetko-Vah and J. Leech,
Associativity of the ∇-operation on bands in rings, Semigroup Forum 76 (2008), 32–50.
On maximal idempotent-closed subrings of Mn(F), International Journal of Algebra and
Computation 21 (2011), 1097–1110.
Rings whose idempotents are multiplicatively closed, Communications in Algebra 40
(2012), 3288–3307.
D. Dolžan,
Multiplicative sets of idempotents in a finite ring, Journal of Algebra 304 (2006), 271–
277.
J. Leech,
Skew lattices in rings, Algebra Universalis 26 (1989), 48–72.
Small skew lattces in rings, Semigroup Forum 70 (2005), 307-311.
L. Livshits, G. MacDonald, B. Mathes, J. Okninski and H. Radjavi,
Matrix semigroups with commutable rank, Semigroup Forum, 67 (2003), 288–316.
J. Okninski,
Triangularizable semigroups of matrices, Linear Algebra Appl., 262 (1997) 111–118.
H. Radjavi,
Invariant subspaces and spectral conditions on operator semigroups, Linear Operators,
Banach Center Publications, Vol. 38 (Polish Academy of Sciences, Warsaw, 1997), 287–
296.
H. Radjavi and P. Rosenthal,
Simultaneous Triangularizations, Universitext (Springer, New York, 2000).
259
References
K. Cvetko-Vah,
Pure skew lattices in rings, Semigroup Forum, 68 (2004), 268–279.
Pure ∇-bands in rings, Semigroup Forum, 71 (2005a), 93–101.
Skew lattices in matrix rings, Algebra Universalis 53 (2005b), 471–479.
On the structure of semigroups of idempotent matrices, Linear Algebra Appl. 426 (2007),
204–213.
K. Cvetko-Vah and J. Leech,
Associativity of the ∇-operation on bands in rings, Semigroup Forum 76 (2008), 32–50.
On maximal idempotent-closed subrings of Mn(F), International Journal of Algebra and
Computation 21 (2011), 1097–1110.
Rings whose idempotents are multiplicatively closed, Communications in Algebra 40
(2012), 3288–3307.
D. Dolžan,
Multiplicative sets of idempotents in a finite ring, Journal of Algebra 304 (2006), 271–
277.
J. Leech,
Skew lattices in rings, Algebra Universalis 26 (1989), 48–72.
Small skew lattces in rings, Semigroup Forum 70 (2005), 307-311.
L. Livshits, G. MacDonald, B. Mathes, J. Okninski and H. Radjavi,
Matrix semigroups with commutable rank, Semigroup Forum, 67 (2003), 288–316.
J. Okninski,
Triangularizable semigroups of matrices, Linear Algebra Appl., 262 (1997) 111–118.
H. Radjavi,
Invariant subspaces and spectral conditions on operator semigroups, Linear Operators,
Banach Center Publications, Vol. 38 (Polish Academy of Sciences, Warsaw, 1997), 287–
296.
H. Radjavi and P. Rosenthal,
Simultaneous Triangularizations, Universitext (Springer, New York, 2000).
259
