scholarly journals Sheaf representation for topoi

2000 ◽  
Vol 145 (2) ◽  
pp. 107-121 ◽  
Author(s):  
S. Awodey
Keyword(s):  
Sheaf Representation

A generic sheaf representation for rings

1991 ◽  
pp. 30-42 ◽  
Author(s):  
Francis Borceux ◽  
Gilberte Van den bossche
Keyword(s):  
Sheaf Representation

On Sheaf Representation of a Biregular Near-Ring

1977 ◽  
Vol 20 (4) ◽  
pp. 495-500 ◽  
Author(s):  
George Szeto
Keyword(s):  
Boolean Space ◽  
Sheaf Representation

AbstractIt is shown that R is a biregular near-ring if and only if it is isomorphic with the near-ring of sections of a sheaf of reduced near-rings over a Boolean space. Also, some ideal properties of a biregular near-ring are proved. These are considered as generalizations of some works of R. Pierce on biregular rings.

Sheaf representation and Chinese remainder theorems

1992 ◽  
Vol 29 (2) ◽  
pp. 232-272 ◽  
Author(s):  
Diego J. Vaggione
Keyword(s):  
Sheaf Representation

A Sheaf Representation of Principally Quasi-Baer ∗-Rings

2018 ◽  
Vol 22 (1) ◽  
pp. 79-97
Author(s):  
Anil Khairnar ◽  
B. N. Waphare
Keyword(s):  
Sheaf Representation ◽  
Baer Rings

scholarly journals An ordered sheaf representation of subresiduated lattices

1980 ◽  
Vol 22 (1) ◽  
pp. 125-132 ◽  
Author(s):  
William H. Cornish
Keyword(s):  
Priestley Space ◽  
Sheaf Representation

Kennison's concept of an ordered sheaf is used to show that any member of the variety of subresiduated lattices is canonically isomorphic to the algebra of all ordered sections in a certain ordered sheaf, whose base is the Priestley space of the residuating sublattice.

Rings in Which the Annihilator of an Ideal Is Pure

2015 ◽  
Vol 22 (spec01) ◽  
pp. 947-968 ◽  
Author(s):  
A. Majidinya ◽  
A. Moussavi ◽  
K. Paykan
Keyword(s):  
Triangular Matrix ◽  
Complete Characterization ◽  
Direct Products ◽  
Matrix Rings ◽  
Morita Invariant ◽  
Sheaf Representation ◽  
Baer Rings ◽  
Upper Triangular Matrix ◽  
Left Annihilator

A ring R is a left AIP-ring if the left annihilator of any ideal of R is pure as a left ideal. Equivalently, R is a left AIP-ring if R modulo the left annihilator of any ideal is flat. This class of rings includes both right PP-rings and right p.q.-Baer rings (and hence the biregular rings) and is closed under direct products and forming upper triangular matrix rings. It is shown that, unlike the Baer or right PP conditions, the AIP property is inherited by polynomial extensions and has the advantage that it is a Morita invariant property. We also give a complete characterization of a class of AIP-rings which have a sheaf representation. Connections to related classes of rings are investigated and several examples and counterexamples are included to illustrate and delimit the theory.

scholarly journals Fully idempotent near-rings and sheaf representations

1998 ◽  
Vol 21 (1) ◽  
pp. 145-151
Author(s):  
Javed Ahsan ◽  
Gordon Mason
Keyword(s):  
Prime Ideals ◽  
Sheaf Representation ◽  
Strongly Regular ◽  
Sheaf Representations ◽  
Lattice Of Ideals

Fully idempotent near-rings are defined and characterized which yields information on the lattice of ideals of fully idempotent rings and near-rings. The space of prime ideals is topologized and a sheaf representation is given for a class of fully idempotent near-rings which includes strongly regular near-rings.

Birkhoff-like sheaf representation for varieties of lattice expansions

Studia Logica ◽  
1996 ◽  
Vol 56 (1-2) ◽  
pp. 111-131 ◽  
Author(s):  
Hector Gramaglia ◽  
Diego Vaggione
Keyword(s):  
Sheaf Representation
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