3 papers
math.GN2026
Maximal d-spectra and locally compact Hausdorff spaces
G. Bezhanishvili, P. Bhattacharjee, S. D. Melzer +1
It is an interesting open problem whether every compact Hausdorff space can be realized as the maximal -spectrum of an arithmetic frame. We approach this problem by generalizing…
math.RA2026
Complemented elements in commutative rings
P. Bhattacharjee, W. Wm. McGovern, Y. Zhou
In what follows we generalize the notion of a complemented ring to rings that are not necessarily reduced. We then determine how our concepts fit in with other well-known classes o…
math.GR2026
Semi-boolean and Yosida -groups, Martinez and Yosida frames, and the construction
Papiya Bhattacharjee, Anthony W. Hager, Warren Wm. McGovern +1
The class of semi-boolean -groups was introduced in 1968 by A. Bigard. These are the -groups in which the principal convex -subgroup generated by any $…