On representations and topological aspects of positive maps on non-unital quasi *- algebras
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DOI: 10.1007/s11117-024-01079-8
Abstract: In this paper we provide a representation of a certain class of C*-valued positive sesquilinear and linear maps on non-unital quasi *-algebras, thus extending the results from Bellomonte (GNS-construction for positive C∗-\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}… read more here.
Keywords: maps non; non unital; algebra; usepackage ... See more keywords
On classification of non-unital amenable simple C*-algebras, II
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DOI: 10.1016/j.geomphys.2020.103865
Abstract: We show that two separable stably projectionless simple C*-algebras A and B with $gTR(A) \le 1$ and $gTR(B) \le 1$ which satisfy the UCT are isomorphic if and only if they have the isomorphic Elliott… read more here.
Keywords: simple algebras; unital amenable; elliott invariant; amenable simple ... See more keywords
Type IV codes over a non-unital ring
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DOI: 10.1142/s0219498822501420
Abstract: There is a special local ring E of order 4, without identity for the multiplication, defined by E = a, b | 2a = 2b = 0, a 2 = a, b 2 = b,… read more here.
Keywords: codes non; type codes; unital ring; non unital ... See more keywords
Cyclic Codes over a Non-Local Non-Unital Ring
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DOI: 10.3390/math12060866
Abstract: We study cyclic codes over the ring H of order 4 and characteristic 2 defined by generators and relations as H=⟨a,b∣2a=2b=0,a2=0,b2=b,ab=ba=0⟩. This is the first time that cyclic codes over a non-unitary ring are studied.… read more here.
Keywords: non local; codes length; codes non; non unital ... See more keywords
On the Duality of Codes over Non-Unital Commutative Ring of Order p2
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DOI: 10.3390/sym17050690
Abstract: This paper establishes an extended theoretical framework centered on the duality of codes constructed over a special class of non-unital, commutative, local rings of order p2, where p is a prime satisfying p≡1mod4 or p≡3mod4.… read more here.
Keywords: unital commutative; codes non; non unital; duality codes ... See more keywords